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Search Results (608)

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18 pages, 7213 KiB  
Review
A Review of Non-Linear Optical Imaging Techniques for Cancer Detection
by Francisco J. Ávila
Optics 2024, 5(4), 416-433; https://doi.org/10.3390/opt5040031 (registering DOI) - 16 Oct 2024
Abstract
The World Health Organization (WHO) cancer agency predicts that more than 35 million cases of cancer will be experienced in 2050, a 77% increase over the 2022 estimate. Currently, the main cancers diagnosed are breast, lung, and colorectal. There is no standardized tool [...] Read more.
The World Health Organization (WHO) cancer agency predicts that more than 35 million cases of cancer will be experienced in 2050, a 77% increase over the 2022 estimate. Currently, the main cancers diagnosed are breast, lung, and colorectal. There is no standardized tool for cancer diagnoses; initially, clinical procedures are guided by the patient symptoms and usually involve biochemical blood tests, imaging, and biopsy. Label-free non-linear optical approaches are promising tools for tumor imaging, due to their inherent non-invasive biosafe contrast mechanisms and the ability to monitor collagen-related disorders, and biochemical and metabolic changes during cancer progression. In this review, the main non-linear microscopy techniques are discussed, according to three main contrast mechanisms: biochemical, metabolic, and structural imaging. Full article
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Figure 1
<p>Raman scattering principle.</p>
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<p>(<b>a</b>): Raman spectra of HepG2 cell line in lipids (blue), cytoplasm (green), and nucleus (red) regions. (<b>b</b>): Comparison of Raman spectra before (green) and after incubation of HepG2 with PLGA nanoparticles (blue). The pink spectrum corresponds to the isolated PLGA NPs. Image reproduced from [<a href="#B23-optics-05-00031" class="html-bibr">23</a>].</p>
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<p>SRH images corresponding to a non-Hodgkin lymphoma specimen (<b>A</b>), non-small cell lung cancer brain metastasis (<b>B</b>), and glioblastoma (<b>C</b>) specimens (left column). Heat maps of CNN prediction algorithm (middle column) and overlay of the SRH images with heat maps are shown in the right column. Scale bar: 100 μm. Image reproduced from [<a href="#B30-optics-05-00031" class="html-bibr">30</a>].</p>
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<p>(<b>a</b>): CARS image of HepG2 cell line showing lipids (red), proteins (green), and nucleic acid (blue) regions. (<b>b</b>): associated CARS spectra. Image reproduced from [<a href="#B41-optics-05-00031" class="html-bibr">41</a>].</p>
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<p>TPEF image of CAF (<b>middle</b>); monocellular HGT1 (labeled with eGFP) spheroids (<b>left</b>) and bicellular HGT1/CAF (<b>right</b>). Scale bar: 100 μm. Image reproduced from [<a href="#B55-optics-05-00031" class="html-bibr">55</a>].</p>
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<p>Lifetime TPEF image of a normal breast cell (<b>a</b>) and the normalized fluorescence decay signal (<b>b</b>). I(t), IRF(t)m, and F(t) correspond to the intensity of the decay signal, the impulse response function, and a model fitted, respectively. Reproduced from [<a href="#B68-optics-05-00031" class="html-bibr">68</a>].</p>
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<p>Illustration of the two-photon excitation fluorescence (<b>a</b>), second harmonic generation (<b>b</b>), and third harmonic generation (<b>c</b>) non-linear processes.</p>
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<p>Second-order susceptibility values of normal (<b>a</b>) and tumor breast (<b>b</b>) tissues. Scale bar: 20 μm. Images reproduced from [<a href="#B100-optics-05-00031" class="html-bibr">100</a>].</p>
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<p>THG images of cells isolated from healthy tissue (left column) and for different grades of breast cancer (third to fourth columns). The top (<b>A</b>) and bottom (<b>B</b>) panels compare the morphology of the nucleus and nucleoli, respectively. Red and white arrows indicate the irregular nucleus and nucleoli, respectively. Scale bar: 2 μm. Images reproduced from [<a href="#B109-optics-05-00031" class="html-bibr">109</a>].</p>
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16 pages, 2211 KiB  
Article
A Two-Player Game for Multi-Scale Topology Optimization of Static and Dynamic Compliances of Triply Periodic Minimal Surface-Based Lattice Structures
by Niclas Strömberg
Dynamics 2024, 4(4), 757-772; https://doi.org/10.3390/dynamics4040038 - 10 Oct 2024
Viewed by 352
Abstract
In this study, a novel non-cooperative two-player game for minimizing static (Player 1) and dynamic (Player 2) compliances is introduced, implemented, and demonstrated using a multi-scale topology optimization framework for triply periodic minimal surface (TPMS)-based lattice structures. Player 1 determines the optimal macro-layout [...] Read more.
In this study, a novel non-cooperative two-player game for minimizing static (Player 1) and dynamic (Player 2) compliances is introduced, implemented, and demonstrated using a multi-scale topology optimization framework for triply periodic minimal surface (TPMS)-based lattice structures. Player 1 determines the optimal macro-layout by minimizing the static compliance based on a micro-layout provided by Player 2. Conversely, player 2 identifies the optimal micro-layout (grading of the TPMS-based lattice structure) by minimizing the dynamic compliance given a macro-layout from Player 1. The multi-scale topology optimization formulations are derived using two density variables in each finite element. The first variable is the standard density, which dictates whether the finite element is void or contains the graded lattice structure and is governed by the rational approximation of material properties (RAMP) model. The second density variable represents the local relative density of the TPMS-based lattice structure, determining the effective orthotropic elastic properties of the finite element. The multi-scale game is implemented for three-dimensional problems, and solved using a Gauss–Seidel algorithm with sequential linear programming. It is numerically demonstrated for several benchmarks that the proposed multi-scale game generates equilibrium designs with strong performance for both static and harmonic load cases, effectively avoiding resonance at harmonic load frequencies. Validation is achieved through modal analyses of finite element models of the optimal designs. Full article
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Figure 1
<p>An optimal design of graded TPMS-based lattice structure of a pin-jointed beam for a static load case using the multi-scale topology optimization approach suggested in [<a href="#B7-dynamics-04-00038" class="html-bibr">7</a>]. The optimal design has a critical resonance frequency at 1604 Hz.</p>
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<p>The Sigmoid-like function in (<a href="#FD6-dynamics-04-00038" class="html-disp-formula">6</a>) plotted for <math display="inline"><semantics> <mrow> <msub> <mi>λ</mi> <mi>m</mi> </msub> <mo>=</mo> <mn>50</mn> </mrow> </semantics></math> and <math display="inline"><semantics> <msub> <mover accent="true"> <mi>ρ</mi> <mo stretchy="false">^</mo> </mover> <mi>m</mi> </msub> </semantics></math> = 0.2.</p>
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<p><b>Left</b>: The convergence of Harker’s benchmark in (<a href="#FD24-dynamics-04-00038" class="html-disp-formula">24</a>) using the Gauss–Seidel algorithm. <b>Right</b>: The convergence of the compliances for the pin-jointed beam benchmark with <math display="inline"><semantics> <mrow> <mo>Ω</mo> <mo>=</mo> <mn>1604</mn> </mrow> </semantics></math> Hz.</p>
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<p>The pin-jointed beam. The optimal grading on the macro-layout for the Static and the dynamic design, respectively, is depicted as well as the corresponding stl-file for the dynamic design. The modal analyses for both designs are also presented. <span class="html-italic">L</span> = 50 mm.</p>
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<p>Representative volume element (RVE) of the shell-based Schwarz-D structure plotted for the lower and upper bounds of 0.2 and 0.6, respectively, and the corresponding material interpolation laws <math display="inline"><semantics> <msub> <mi>f</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> </semantics></math> in (<a href="#FD26-dynamics-04-00038" class="html-disp-formula">26</a>) (see also <a href="#dynamics-04-00038-t001" class="html-table">Table 1</a>). The RVEs are meshed using 5–10 million linear tetrahedral elements, not depicted here for clarity, when the numerical homogenization is performed. More details can be found in [<a href="#B8-dynamics-04-00038" class="html-bibr">8</a>].</p>
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<p>The clamped beam. Macro-layouts showing grading for the static case (<math display="inline"><semantics> <mrow> <mo>Ω</mo> <mo>=</mo> <mn>0</mn> </mrow> </semantics></math>) and the harmonic case (<math display="inline"><semantics> <mrow> <mo>Ω</mo> <mo>=</mo> <mn>2383</mn> </mrow> </semantics></math> Hz) are depicted as well as modal analyses of the designs. <span class="html-italic">L</span> = 50 mm.</p>
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<p>The L-shaped benchmark. Two critical modes are identified for the static design. The game is generating two optimal dynamic designs for the corresponding harmonic excitations. <span class="html-italic">L</span> = 40 mm.</p>
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<p>Modal analyses of the L-shaped designs. The dynamic design effectively avoids resonance at 372 Hz and 1206 Hz. The dashed window in the upper plot is increased to the right by decreasing the damping factor.</p>
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<p>A 3D L-shaped benchmark. The dynamic design avoids resonance at the frequency 986 Hz unlike the static design. Here, the colors represent the amplitudes of the corresponding mode. <span class="html-italic">L</span> = 75 mm.</p>
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<p>The amplification function <math display="inline"><semantics> <mrow> <mi>χ</mi> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </semantics></math> and the phase angle <math display="inline"><semantics> <mrow> <mo>Φ</mo> <mo>(</mo> <mi>ω</mi> <mo>)</mo> </mrow> </semantics></math> for <math display="inline"><semantics> <mrow> <mi>γ</mi> <mo>=</mo> <mn>0.02</mn> </mrow> </semantics></math>.</p>
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12 pages, 8469 KiB  
Article
The Creation of a Domain Structure Using Ultrashort Pulse NIR Laser Irradiation in the Bulk of MgO-Doped Lithium Tantalate
by Boris Lisjikh, Mikhail Kosobokov and Vladimir Shur
Photonics 2024, 11(10), 928; https://doi.org/10.3390/photonics11100928 - 30 Sep 2024
Viewed by 448
Abstract
The fabrication of stable, tailored domain patterns in ferroelectric crystals has wide applications in optical and electronic industries. All-optical ferroelectric poling by pulse laser irradiation has been developed recently. In this work, we studied the creation of the domain structures in MgO-doped lithium [...] Read more.
The fabrication of stable, tailored domain patterns in ferroelectric crystals has wide applications in optical and electronic industries. All-optical ferroelectric poling by pulse laser irradiation has been developed recently. In this work, we studied the creation of the domain structures in MgO-doped lithium tantalate by focused irradiation with a femtosecond near-infrared laser. Cherenkov-type second harmonic generation microscopy was used for domain imaging of the bulk. We have revealed the creation of enveloped domains around the induced microtracks under the action of the depolarization field. The domain growth is due to a pyroelectric field caused by a nonuniform temperature change. The domains in the bulk were revealed to have a three-ray star-shaped cross-section. It was shown that an increase in the field excess above the threshold leads to consequential changes in domain shape from a three-ray star to a triangular and a circular shape. The appearance of comb-like domains as a result of linear scanning was demonstrated. All effects were considered in terms of a kinetic approach, taking into account the domain wall motion by step generation and kink motion driven by excess of the local field over the threshold. The obtained knowledge is useful for the all-optical methods of domain engineering in ferroelectrics. Full article
(This article belongs to the Special Issue Ultrashort Laser Pulses)
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Figure 1
<p>(<b>a</b>) Scheme of the experimental setup, (<b>b</b>) optical image of the microtracks that appeared after the local irradiation by femtosecond laser pulses with an energy of 6.0 µJ.</p>
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<p>SHGM side view of the domains formed by various numbers of pulses: (<b>a</b>) 1.4 µJ, (<b>b</b>) 4.0 µJ. Focusing depth was 300 µm.</p>
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<p>SHGM images of the domain XY cross-sections. (<b>a</b>) Domain XY cross-sections for various pulse numbers and energies. Focusing depth was 300 μm. (<b>b</b>) Domain XY cross-sections for different distances from the focusing point. Focusing depth was 500 µm, energy was 6.1 µJ, and pulse number was 512.</p>
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<p>SHGM images of the domains created at the various focusing depths: (<b>a</b>–<b>c</b>) 300 µm, (<b>d</b>,<b>e</b>) 500 µm. Pulse energy: (<b>a</b>–<b>c</b>) 5.4 µJ, (<b>d</b>,<b>e</b>) 6.1 µJ. Pulse number: 512. (<b>a</b>,<b>d</b>) Three-dimensional domain images, (<b>b</b>,<b>c</b>) and (<b>e</b>,<b>f</b>) two-dimensional images of the individual wings. The orange lines show the microtracks’ position.</p>
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<p>Dependencies of the wing length along the polar direction (<b>a</b>) on the energy and (<b>b</b>) the pulse number and the wing width along the Y+ direction (<b>c</b>) on the energy and (<b>d</b>) the pulse number.</p>
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<p>Results of the linear scanning along the X-axis. (<b>a</b>) Optical image of microtracks. (<b>b</b>–<b>d</b>) SHGM images of various cross-sections of comb-like domains: (<b>b</b>,<b>c</b>) XY at different depths: (<b>b</b>) at 400 µm, (<b>c</b>) at 320 µm. (<b>d</b>) XZ along scanning direction. Pulse energy was 2.7 µJ, focusing depth was 450 µm, and scanning rate was 2 mm/s.</p>
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<p>Scheme of the formation of the double-sided comb-like domain during linear scanning: (<b>a</b>) domain edge, (<b>b</b>) increase in CDW tilt, (<b>c</b>) appearance of the additional tooth, (<b>d</b>) elongated domain.</p>
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16 pages, 3778 KiB  
Article
A Novel Sensing Method to Detect Malachite Green Contaminant on Silicon Substrate Using Nonlinear Optics
by Muhammad Ahyad, Hendradi Hardhienata, Eddwi Hesky Hasdeo, Sasfan Arman Wella, Faridah Handayasari, Husin Alatas and Muhammad Danang Birowosuto
Micromachines 2024, 15(10), 1227; https://doi.org/10.3390/mi15101227 - 30 Sep 2024
Viewed by 613
Abstract
We propose a nonlinear-optics-based nanosensor to detect malachite green (MG) contaminants on semiconductor interfaces such as silicon (Si). Applying the simplified bond hyperpolarizability model (SBHM), we simplified the second-harmonic generation (SHG) analysis of an MG-Si(111) surface and were able to validate our model [...] Read more.
We propose a nonlinear-optics-based nanosensor to detect malachite green (MG) contaminants on semiconductor interfaces such as silicon (Si). Applying the simplified bond hyperpolarizability model (SBHM), we simplified the second-harmonic generation (SHG) analysis of an MG-Si(111) surface and were able to validate our model by reproducing experimental rotational anisotropy (RA) SHG experiments. For the first time, density functional theory (DFT) calculations using ultrasoft pseudopotentials were implemented to obtain the molecular configuration and bond vector orientation required by the SBHM to investigate and predict the second-harmonic generation contribution for an MG-Si 001 surface. We show that the SBHM model significantly reduces the number of independent components in the nonlinear tensor of the MG-Si(111) interface, opening up the possibility for real-time and non-destructive contaminant detection at the nanoscale. In addition, we derive an explicit formula for the SHG far field, demonstrating its applicability for various input polarization angles. Finally, an RASHG signal can be enhanced through a simulated photonic crystal cavity up to 4000 times for more sensitivity of detection. Our work can stimulate more exploration using nonlinear optical methods to detect and analyze surface-bound contaminants, which is beneficial for environmental monitoring, especially for mitigating pollution from textile dyes, and underscores the role of nonlinear optics in real-time ambient-condition applications. Full article
(This article belongs to the Special Issue The 15th Anniversary of Micromachines)
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Figure 1
<p>RASHG experimental setup to sense the MG contaminant through its SHG intensity profile. Figure recreated from Ref. [<a href="#B7-micromachines-15-01227" class="html-bibr">7</a>]. (Abbreviations: HWP: half-wave plate; F: filter; L<math display="inline"><semantics> <msub> <mo>‌</mo> <mn>1</mn> </msub> </semantics></math>: objective lens, L<math display="inline"><semantics> <msub> <mo>‌</mo> <mn>2</mn> </msub> </semantics></math>: collective lens; G–T: Glan–Materials polarizing prism; PMT: photomultiplier).</p>
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<p>Illustration of experimental configuration and applied coordinate system.</p>
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<p>Bond vectors of the (<b>a</b>) Si(111) and (<b>b</b>) Si(001) surface.</p>
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<p>Total simulated (<b>a</b>–<b>d</b>) and experimental (<b>e</b>,<b>f</b>) RASHG intensity, where in (<b>a</b>,<b>c</b>) the normal <span class="html-italic">z</span>-axis of the Si substrate and the vertical MG <math display="inline"><semantics> <msub> <mover accent="true"> <mi>b</mi> <mo>^</mo> </mover> <mn>5</mn> </msub> </semantics></math> bond vector are parallel (<math display="inline"><semantics> <mrow> <mi>t</mi> <mi>h</mi> <mi>e</mi> <mi>t</mi> <mi>a</mi> <mo>=</mo> <msup> <mn>0</mn> <mo>∘</mo> </msup> </mrow> </semantics></math>), whereas in (<b>b</b>,<b>d</b>) the tilting angle between the normal <span class="html-italic">z</span>-axis and <math display="inline"><semantics> <msub> <mover accent="true"> <mi>b</mi> <mo>^</mo> </mover> <mn>5</mn> </msub> </semantics></math> is <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <msup> <mn>8</mn> <mo>∘</mo> </msup> </mrow> </semantics></math>. The polarization angle is evaluated for <math display="inline"><semantics> <mrow> <mi>ψ</mi> <mo>=</mo> </mrow> </semantics></math><math display="inline"><semantics> <msup> <mn>0</mn> <mo>∘</mo> </msup> </semantics></math>, <math display="inline"><semantics> <mrow> <mo>−</mo> <msup> <mn>45</mn> <mo>∘</mo> </msup> </mrow> </semantics></math>, and <math display="inline"><semantics> <msup> <mn>45</mn> <mo>∘</mo> </msup> </semantics></math> (left side), while <math display="inline"><semantics> <mrow> <mi>ψ</mi> <mo>=</mo> <msup> <mn>80</mn> <mo>∘</mo> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <msup> <mn>90</mn> <mo>∘</mo> </msup> </semantics></math>, and <math display="inline"><semantics> <msup> <mn>100</mn> <mo>∘</mo> </msup> </semantics></math> (right side). The RASHG experiments in (<b>e</b>,<b>f</b>) were reprinted/adapted with permission from Ref. [<a href="#B11-micromachines-15-01227" class="html-bibr">11</a>]. 2000. American Chemical Society.</p>
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<p>Atomic structure of isolated malachite green. Red arrows correspond to the vector direction of each branch of the molecule, i.e., <math display="inline"><semantics> <msub> <mover accent="true"> <mi>b</mi> <mo>^</mo> </mover> <mn>5</mn> </msub> </semantics></math>, <math display="inline"><semantics> <msub> <mover accent="true"> <mi>b</mi> <mo>^</mo> </mover> <mn>6</mn> </msub> </semantics></math>, and <math display="inline"><semantics> <msub> <mover accent="true"> <mi>b</mi> <mo>^</mo> </mover> <mn>7</mn> </msub> </semantics></math>. Navy, gray, and cyan spheres represent the nitrogen, carbon, and hydrogen atoms, respectively. The structural models are visualized by using VESTA [<a href="#B24-micromachines-15-01227" class="html-bibr">24</a>].</p>
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<p>(<b>a</b>) Optimized geometrical structure of MG/Si(001) obtained by DFT calculations. 2D Sideview of the optimal orientation when viewed from the (<b>b</b>) z-y and (<b>c</b>) (z,x) plane cut.</p>
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<p>Bond vectors of the (<b>a</b>) MG/Si(111). (<b>b</b>) MG/Si(001) surface. The red bond vectors belong to MG and the black bond vectors belong to Si. No tilting between MG and Si is initially assumed.</p>
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<p>Total predicted RASHG intensity for MG-Si(001) at polarization input angles <math display="inline"><semantics> <mrow> <mi>ψ</mi> <mo>=</mo> </mrow> </semantics></math><math display="inline"><semantics> <msup> <mn>0</mn> <mo>∘</mo> </msup> </semantics></math>, <math display="inline"><semantics> <mrow> <mo>−</mo> <msup> <mn>45</mn> <mo>∘</mo> </msup> </mrow> </semantics></math>, and <math display="inline"><semantics> <msup> <mn>45</mn> <mo>∘</mo> </msup> </semantics></math> (left side), while <math display="inline"><semantics> <mrow> <mi>ψ</mi> <mo>=</mo> <msup> <mn>80</mn> <mo>∘</mo> </msup> </mrow> </semantics></math>, <math display="inline"><semantics> <msup> <mn>90</mn> <mo>∘</mo> </msup> </semantics></math>, and <math display="inline"><semantics> <msup> <mn>100</mn> <mo>∘</mo> </msup> </semantics></math> (right side). For (<b>a</b>,<b>c</b>), no tilting angle is applied (<math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <msup> <mn>0</mn> <mo>∘</mo> </msup> </mrow> </semantics></math>), whereas for (<b>b</b>,<b>d</b>) a tilting angle of <math display="inline"><semantics> <mrow> <mi>θ</mi> <mo>=</mo> <msup> <mn>8</mn> <mo>∘</mo> </msup> </mrow> </semantics></math> is applied.</p>
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<p>Density of states (<b>a</b>) and band structures (<b>b</b>) of MG/Si(001). The dominant contribution comes from the <span class="html-italic">p</span>-orbital of Si. Meanwhile, the <span class="html-italic">p</span>-orbital of carbon atom from MG creates acceptor states at the conduction band. The bandgap is about ∼<math display="inline"><semantics> <mrow> <mn>0.3</mn> </mrow> </semantics></math> eV. (<b>c</b>) The band structure of Si(001) without MG.</p>
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<p>(<b>a</b>) Top view of the Si(001) surface. Red spheres represent the Si atoms in the top layer. Top, center, and hollow sites are assigned to A, B, and C, respectively. (<b>b</b>) Side view of the initial and final structures of MG/Si(001) system. (<b>c</b>) Evolution of the MG molecule orientation from its initial to final position as they seek the lowest energy, <math display="inline"><semantics> <mrow> <mo>Δ</mo> <mi>E</mi> </mrow> </semantics></math> where <math display="inline"><semantics> <msub> <mi>d</mi> <mi>z</mi> </msub> </semantics></math> corresponds to the distance between N and Si atoms at the hollow site whereas <math display="inline"><semantics> <msub> <mi>θ</mi> <mi>z</mi> </msub> </semantics></math> and <math display="inline"><semantics> <msub> <mi>θ</mi> <mi>x</mi> </msub> </semantics></math> refer to the tilting angle with respect to the <span class="html-italic">z</span> and <span class="html-italic">x</span> coordinate.</p>
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<p>Photonic crystal device (PCD) based on Si(001) nanowire. (<b>a</b>) Design of SiO<math display="inline"><semantics> <msub> <mo>‌</mo> <mn>2</mn> </msub> </semantics></math> PCD with Si(001) nanowire inside the air slot. (<b>b</b>) Photonic bandstructure calculation for photonic crystals with a lattice constant of 320 nm and a hole radius of 109 nm. (<b>c</b>) Calculated electric <math display="inline"><semantics> <mrow> <mo>|</mo> <mi>E</mi> <mo>|</mo> </mrow> </semantics></math> and (<b>d</b>) magnetic <math display="inline"><semantics> <mrow> <mo>|</mo> <mi>H</mi> <mo>|</mo> </mrow> </semantics></math> field distributions. (<b>e</b>) Quality factors of nanowire cavities as a function of lattice constants. Other parameters are mentioned in the text.</p>
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16 pages, 5754 KiB  
Article
Research on Spatial Localization Method of Magnetic Nanoparticle Samples Based on Second Harmonic Waves
by Zheyan Wang, Ping Huang, Fuyin Zheng, Hongli Yu, Yue Li, Zhichuan Qiu, Lingke Gai, Zhiyao Liu and Shi Bai
Micromachines 2024, 15(10), 1218; https://doi.org/10.3390/mi15101218 - 30 Sep 2024
Viewed by 409
Abstract
Existing magnetic tracer detection systems primarily rely on fundamental wave signal acquisition using non-differential sensor configurations. These sensors are highly susceptible to external interference and lack tomographic localization capabilities, hindering their clinical application. To address these limitations, this paper presents a novel method [...] Read more.
Existing magnetic tracer detection systems primarily rely on fundamental wave signal acquisition using non-differential sensor configurations. These sensors are highly susceptible to external interference and lack tomographic localization capabilities, hindering their clinical application. To address these limitations, this paper presents a novel method for achieving the deep spatial localization of tracers. The method exploits second harmonic signal detection at non-zero field points. By considering the combined nonlinear characteristics of the coil’s axial spatial magnetic field distribution and the Langevin function, a correlation model linking the signal peak and bias field is established. This model enables the determination of the tracer’s precise spatial location. Building on this framework, a handheld device for localizing magnetic nanoparticle tracers was developed. The device harnesses the second harmonic response generated by coupling an AC excitation field with a DC bias field. Our findings demonstrate that under conditions of reduced coil turns and weak excitation fields, the DC bias field exhibits exclusive dependence on the axial distance of the detection point, independent of particle concentration. This implies that the saturated DC bias field corresponding to the second harmonic signal can be used to determine the magnetic nanoparticle sample detection depth. The experimental results validated the method’s high accuracy, with axial detection distance and concentration reduction errors of only 4.8% and 4.1%, respectively. This research paves the way for handheld probes capable of tomographic tracer detection, offering a novel approach for advancing magnetically sensitive biomedical detection technologies. Full article
(This article belongs to the Section B3: Nanoparticles in Biomedicine)
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Figure 1
<p>Magnetic nanoparticle harmonic response detection principle. (<b>a</b>) Third harmonic response curve under H<sub>AC</sub> and H<sub>DC</sub> = 0; (<b>b</b>) Third harmonic response curve under H<sub>AC</sub> and H<sub>DC</sub> = H<sub>k</sub>; (<b>c</b>) Third harmonic response curve under H<sub>AC</sub> and H<sub>DC</sub> &gt; H<sub>k</sub>.</p>
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<p>Dependence of the second harmonic signal of MNPs on the AC and DC bias field. (<b>a</b>) Effect of DC field on second harmonic signals; (<b>b</b>) Effect of AC field on second harmonic signals.</p>
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<p>Axial excitation magnetic field distribution.</p>
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<p>Spatial distribution of magnetic field at point P.</p>
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<p>Modeling of Langevin’s function at different detection distances.</p>
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<p>Schematic diagram of probe structure (the left side is a cross-section of the probe structure; the right side is a schematic diagram of the differential structure of the detection coil).</p>
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<p>System schematic. (<b>a</b>) System block diagram; (<b>b</b>) actual picture.</p>
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<p>System schematic. (<b>a</b>) System block diagram; (<b>b</b>) actual picture.</p>
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<p>Detection signals of different concentrations of magnetic particles at the same distance.</p>
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<p>Second harmonic detection signals of magnetic nanoparticles at different distances for 20 <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">μ</mi> <mi mathvariant="normal">L</mi> </mrow> </semantics></math> and 30 <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">μ</mi> <mi mathvariant="normal">L</mi> <mo>.</mo> </mrow> </semantics></math> (<b>a</b>) 30 <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">μ</mi> <mi mathvariant="normal">L</mi> </mrow> </semantics></math> magnetic particle detection signal; (<b>b</b>) 20 <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">μ</mi> <mi mathvariant="normal">L</mi> </mrow> </semantics></math> magnetic particle detection signal.</p>
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<p>Second harmonic detection signals of magnetic nanoparticles at different distances for 20 <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">μ</mi> <mi mathvariant="normal">L</mi> </mrow> </semantics></math> and 30 <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">μ</mi> <mi mathvariant="normal">L</mi> <mo>.</mo> </mrow> </semantics></math> (<b>a</b>) 30 <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">μ</mi> <mi mathvariant="normal">L</mi> </mrow> </semantics></math> magnetic particle detection signal; (<b>b</b>) 20 <math display="inline"><semantics> <mrow> <mi mathvariant="sans-serif">μ</mi> <mi mathvariant="normal">L</mi> </mrow> </semantics></math> magnetic particle detection signal.</p>
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<p>Fitting curve between the DC bias voltage (corresponding to the peak value of the detection voltage) and the detection distance.</p>
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25 pages, 14943 KiB  
Article
Robust Control Scheme for Optimal Power Sharing and Selective Harmonic Compensation in Islanded Microgrids
by Ali Gaeed Seger Al-salloomee, Enrique Romero-Cadaval and Carlos Roncero-Clemente
Electronics 2024, 13(18), 3719; https://doi.org/10.3390/electronics13183719 - 19 Sep 2024
Viewed by 629
Abstract
In power systems, nonlinear loads cause harmonic distortion, adversely affecting sensitive equipment such as induction motors, power electronics, and variable-speed drives. This paper presents a novel control strategy that integrates with existing hierarchical control systems to mitigate voltage imbalances and harmonic disturbances in [...] Read more.
In power systems, nonlinear loads cause harmonic distortion, adversely affecting sensitive equipment such as induction motors, power electronics, and variable-speed drives. This paper presents a novel control strategy that integrates with existing hierarchical control systems to mitigate voltage imbalances and harmonic disturbances in AC-islanded microgrids. The proposed method utilizes selective harmonic order filtering through multiple second-order generalized integrators (MSOGI) to extract negative, positive, and harmonic order components. The distributed generation (DG) unit control mechanism is designed to immediately correct voltage imbalances and harmonic disruptions, distributing the compensatory load evenly to rectify real and reactive power imbalances and harmonic disturbances. The microgrid’s control architecture primarily includes droop controllers for real and reactive power of positive sequences, voltage and current regulation inner control loops, an additional loop for correcting imbalances and harmonics, and secondary controllers to maintain voltage magnitude and frequency at nominal levels, ensuring high-quality voltage at the point of common coupling (PCC). The effectiveness of this approach is demonstrated through simulation results on the MATLAB/Simulink platform, proving its ability to effectively mitigate voltage imbalances and harmonic issues with the total harmonic of voltage reduced to approximately THDv = 0.5% and voltage unbalance factor (VUF) within approximately 0.1%. Full article
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<p>Typical structure of MG with multiple parallel-connected DG units.</p>
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<p>MSOGI structure for fundamental and harmonic extraction.</p>
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<p>Block diagram of the proposed control scheme for the islanded microgrid.</p>
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<p>Primary and secondary control actions.</p>
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<p>SOGI bandpass filter for sequence power extraction.</p>
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<p>Power and control stages diagram.</p>
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<p>Root locus of the transfer function of the inverter.</p>
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<p>Nyquist diagram of the inverter.</p>
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<p>Two microgrid systems under simulation study.</p>
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<p>Power sharing performance in microgrids under unbalanced and nonlinear load.</p>
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<p>The proposed compensation method will be performed at 2.5 s in an electrical network with an unbalanced and nonlinear load. (<b>a</b>) Voltage output of inverter 1, (<b>b</b>) zoomed section before and after activating the proposed control loop.</p>
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<p>Performance of the proposed compensation method at 2.5 s in an electrical network with unbalanced load and nonlinear load (<b>a</b>) The voltage output of inverter 2, (<b>b</b>) zoomed section before and after activating the proposed control loop.</p>
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<p>Negative sequence reactive powers.</p>
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<p>Negative sequence voltage of inverter 1.</p>
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<p>Negative sequence voltage of inverter 2.</p>
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<p>5th Harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>5th Harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>5th Harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>7th harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>7th harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>7th harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>11th harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>11th harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>11th harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>13rd harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>13rd harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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<p>13rd harmonic voltage (<b>a</b>,<b>b</b>) inverter 1, (<b>c</b>,<b>d</b>) inverter 2.</p>
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12 pages, 4854 KiB  
Article
Efficient Second-Harmonic Generation in Adapted-Width Waveguides Based on Periodically Poled Thin-Film Lithium Niobate
by Junjie He, Lian Liu, Mianjie Lin, Houhong Chen and Fei Ma
Micromachines 2024, 15(9), 1145; https://doi.org/10.3390/mi15091145 - 12 Sep 2024
Viewed by 763
Abstract
Frequency conversion process based on periodically poled thin-film lithium niobate (PPTFLN) has been widely recognized as an important component for quantum information and photonic signal processing. Benefiting from the tight confinement of optical modes, the normalized conversion efficiency (NCE) of nanophotonic waveguides is [...] Read more.
Frequency conversion process based on periodically poled thin-film lithium niobate (PPTFLN) has been widely recognized as an important component for quantum information and photonic signal processing. Benefiting from the tight confinement of optical modes, the normalized conversion efficiency (NCE) of nanophotonic waveguides is improved by orders of magnitude compared to their bulk counterparts. However, the power conversion efficiency of these devices is limited by inherent nanoscale inhomogeneity of thin-film lithium niobate (TFLN), leading to undesirable phase errors. In this paper, we theoretically present a novel approach to solve this problem. Based on dispersion engineering, we aim at adjusting the waveguide structure, making local waveguide width adjustment at positions of different thicknesses, thus eliminating the phase errors. The adapted waveguide width design is applied for etched and loaded waveguides based on PPTFLN, achieving the ultrahigh power conversion efficiency of second harmonic generation (SHG) up to 2.1 × 104%W−1 and 6936%W−1, respectively, which surpasses the power conversion efficiency of other related works. Our approach just needs standard periodic poling with a single period, significantly reducing the complexity of electrode fabrication and the difficulty of poling, and allows for the placing of multiple waveguides, without individual poling designs for each waveguide. With the advantages of simplicity, high production, and meeting current micro–nano fabrication technology, our work may open a new way for achieving highly efficient second-order nonlinear optical processes based on PPTFLN. Full article
(This article belongs to the Special Issue Photonic and Optoelectronic Devices and Systems, Second Edition)
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<p>(<b>a</b>) Three-dimensional structure diagram of etched waveguide based on PPTFLN with adapted waveguide width design. (<b>b</b>) Schematic diagram depicting the <span class="html-italic">z</span>-<span class="html-italic">x</span> cross section of waveguide structure, where <span class="html-italic">w</span> and <span class="html-italic">t</span> denote the width and thickness of the etched waveguide, respectively. The etched depth and sidewall angle are <span class="html-italic">h</span> = 300 nm and <span class="html-italic">θ</span> = 75°, respectively. The modal field distribution of TE bound mode for (<b>c</b>) FF wave at 1600 nm and (<b>d</b>) SH wave at 800 nm.</p>
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<p>(<b>a</b>) The relationship between poling period and LN thickness when the other waveguide structural parameters are fixed. The red star represents the required poling period when LN thickness is 600 nm, and the blue line represents the required poling period as LN thickness changes. (<b>b</b>) The variation of poling period with waveguide width under different LN thicknesses. (<b>c</b>) The required waveguide width as a function of LN thickness when poling period sets as Λ = 4.20 μm.</p>
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<p>(<b>a</b>,<b>b</b>) The blue curves show the distribution of LN thickness along the etched waveguide. The red lines show (<b>a</b>) uniform waveguide width design and (<b>b</b>) adapted waveguide width design along the etched waveguide, respectively. (<b>c</b>,<b>d</b>) are the SH spectrum corresponding to uniform and adapted waveguide width design, respectively.</p>
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<p>(<b>a</b>) Three-dimensional structure diagram of the polymer-loaded waveguide based on PPTFLN with an adapted waveguide width design. (<b>b</b>) Schematic diagram depicting the <span class="html-italic">z</span>-<span class="html-italic">x</span> cross section of waveguide structure, where w denotes the width of the polymer-loaded waveguide. The modal field distribution of TE-bound mode for (<b>c</b>) the FF wave at 1600 nm and (<b>d</b>) the SH wave at 800 nm.</p>
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<p>(<b>a</b>) The relationship between poling period Λ and LN thickness <span class="html-italic">t</span> when the other waveguide structural parameters are fixed. The red star represents the required poling period when LN thickness is 600 nm, and the blue line represents the required poling period as LN thickness changes. (<b>b</b>) The variation in poling period with waveguide width under different LN thicknesses. (<b>c</b>) The required waveguide width as a function of LN thickness when poling period sets as Λ = 5.05 μm.</p>
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<p>(<b>a</b>,<b>b</b>) The blue curves show the distribution of LN thickness along the loaded waveguide. The red lines show (<b>a</b>) uniform waveguide width design and (<b>b</b>) adapted waveguide width design along the loaded waveguide, respectively. (<b>c</b>,<b>d</b>) are the SH spectrum corresponding to uniform and adapted waveguide width design, respectively.</p>
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<p>Calculated peak power conversion efficiency of nanophotonic LN waveguides with different lengths using uniform waveguide width and adapted waveguide width design.</p>
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11 pages, 16875 KiB  
Article
Crystal Growth of LiNa5Mo9O30 Crystals of High Optical Quality
by Nikolai Khokhlov, Ivan Grishchenko, Ekaterina Shevelkina, Denis Bindyug, Ekaterina Barkanova, Dmitry Denisov, Dmitry Demushkin, Ivan Telegin, Ekaterina Yezhikova, Igor Avetissov, Roman Avetisov, Alexey Konyashkin and Oleg Ryabushkin
Crystals 2024, 14(9), 792; https://doi.org/10.3390/cryst14090792 - 7 Sep 2024
Viewed by 381
Abstract
The bulk of the LiNa5Mo9O30 (LNM) crystals were successfully grown in the [010] and [001] directions without internal inclusions and cracks, using the Czochralski method with a low temperature gradient. The crystal grown in the [010] direction showed [...] Read more.
The bulk of the LiNa5Mo9O30 (LNM) crystals were successfully grown in the [010] and [001] directions without internal inclusions and cracks, using the Czochralski method with a low temperature gradient. The crystal grown in the [010] direction showed a tendency to twinning. The crystal grown in the [001] direction demonstrated high structural perfection (FWHM = 13″) for the (001) plane and high optical quality Δn ≈ 2 × 10−5. The laser-induced damage threshold was measured along a, b and c axes and was 12.2, 27.0 and 27.5 J/cm2, respectively. The thermo-optical coefficient dn/dT was measured for the main crystallographic axes, which was −5.75 × 10−6, −20.2 × 10−6 and 3.65 × 10−6 K−1 along the a, b and c axes, respectively. The second harmonic generation (SHG) was conducted in the crystalline LNM sample. The maximum efficiency value of 3.5% at a pump power of 12 W was achieved. Full article
(This article belongs to the Topic Optoelectronic Materials, 2nd Volume)
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<p>Experimental setup for second harmonic generation in a crystalline LNM sample (<b>a</b>); crystalline LNM sample cutting and placement for the study (<b>b</b>).</p>
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<p>PXRD pattern of the synthesized LiNa<sub>5</sub>Mo<sub>9</sub>O<sub>30</sub> compound.</p>
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<p>TG-DTA data for the nominal composition of LiNa<sub>5</sub>Mo<sub>9</sub>O<sub>30</sub>.</p>
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<p>The LNM crystal grown in the [010] direction.</p>
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<p>Inhomogeneities in the [010] as-grown LNM crystal.</p>
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<p>The LNM crystal grown in the [001] direction.</p>
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<p>Plates cut from boules grown in the [001] direction. (<b>A</b>)—slice perpendicular to the growth direction; (<b>B</b>)—slice parallel to the growth direction.</p>
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<p>The rocking curves of the as-grown LNM crystal determined using HRXRD analysis for (001) plane.</p>
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<p>Interferograms of the LNM crystal obtained on a Mach–Zehnder interferometer.</p>
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<p>The laser-induced damage threshold for LNM elements cut in the direction <span class="html-italic">a</span>—[100], <span class="html-italic">b</span>—[010] and <span class="html-italic">c</span>—[001] (facet 1—input, facet 2—output).</p>
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<p>The second harmonic power (<b>left</b>) and the efficiency at different pump power (<b>right</b>) at a various laser beam spot presented in the legend.</p>
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22 pages, 7320 KiB  
Article
A CMOS Rail-to-Rail Class AB Second-Generation Voltage Conveyor and Its Application in a Relaxation Oscillator
by Radivoje Djurić and Jelena Popović-Božović
Electronics 2024, 13(17), 3511; https://doi.org/10.3390/electronics13173511 - 4 Sep 2024
Viewed by 412
Abstract
In this paper, we present a CMOS rail-to-rail second-generation voltage conveyor (VCII) suitable for low power applications, implemented in 180 nm CMOS technology with a supply voltage of ± 0.9 V. The proposed VCII consists of a current and voltage buffer operating in [...] Read more.
In this paper, we present a CMOS rail-to-rail second-generation voltage conveyor (VCII) suitable for low power applications, implemented in 180 nm CMOS technology with a supply voltage of ± 0.9 V. The proposed VCII consists of a current and voltage buffer operating in class AB. At the input of the voltage buffer, there is a bulk-driven differential amplifier, which provides a rail-to-rail input common-mode voltage. A common source output stage in class AB provides rail-to-rail at the output of the voltage buffer. The transistors are designed to operate in moderate inversion, achieving a relatively large current and voltage buffer bandwidth of 298.3 MHz and 173.2 MHz, respectively, with a power consumption of 157 μW. A sine wave with an amplitude of 1.5 Vpp and a frequency of 1 MHz on the output buffer has a total harmonic distortion of only 0.29%. The application of VCII in a relaxation oscillator with a frequency of up to 10 MHz is demonstrated, as well as its comparative characteristics with reference to other relevant square-wave generators published in the literature. Full article
(This article belongs to the Section Circuit and Signal Processing)
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<p>Equivalent model of VCII.</p>
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<p>Symbolic representation of the VCII.</p>
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<p>The current buffer of the proposed <math display="inline"><semantics> <mrow> <mi>V</mi> <mi>C</mi> <mi>I</mi> <msup> <mi>I</mi> <mo>−</mo> </msup> </mrow> </semantics></math>.</p>
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<p>Current-transfer function Y−X and its derivative.</p>
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<p>Distortions of the CB at 1 MHz, as a function of the input current amplitude <span class="html-italic">I<sub>m</sub></span>.</p>
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<p>The proposed rail-to-rail voltage buffer.</p>
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<p>Voltage transfer function X−Z and its derivative.</p>
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<p>The current buffer and the voltage buffer transfer function.</p>
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<p>Schematic diagram of the current-driven NIC with <math display="inline"><semantics> <mrow> <msup> <mi>VCII</mi> <mo>−</mo> </msup> </mrow> </semantics></math>.</p>
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<p>The proposed relaxation oscillator based on a <math display="inline"><semantics> <mrow> <msup> <mi>VCII</mi> <mo>−</mo> </msup> </mrow> </semantics></math>: (<b>a</b>) schematic diagram, (<b>b</b>) static characteristic of the oscillator’s active part.</p>
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<p>The small-signal oscillator circuit for equivalent resistance determination.</p>
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<p>Typical voltage and current waveforms in the proposed oscillator at 1.045 MHz (<math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>F</mi> </msub> <mo>=</mo> <mn>22</mn> <mo> </mo> <mrow> <mi mathvariant="normal">k</mi> <mi mathvariant="sans-serif">Ω</mi> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>X</mi> </msub> <mo>→</mo> <mo>∞</mo> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>C</mi> <mo>=</mo> <mn>6.5</mn> <mo> </mo> <mi>pF</mi> </mrow> </semantics></math>).</p>
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<p>Static characteristics of the proposed oscillator with <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mrow> <mi>F</mi> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mn>10</mn> <mo> </mo> <mrow> <mi mathvariant="normal">k</mi> <mi mathvariant="sans-serif">Ω</mi> </mrow> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mrow> <mi>F</mi> <mn>2</mn> </mrow> </msub> <mo>=</mo> <mn>22</mn> <mo> </mo> <mrow> <mi mathvariant="normal">k</mi> <mi mathvariant="sans-serif">Ω</mi> </mrow> </mrow> </semantics></math>, and with two external resistances <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>X</mi> </msub> <mo>=</mo> <mn>100</mn> <mo> </mo> <mrow> <mi mathvariant="normal">k</mi> <mi mathvariant="sans-serif">Ω</mi> </mrow> </mrow> </semantics></math> and <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>X</mi> </msub> <mo>→</mo> <mo>∞</mo> </mrow> </semantics></math>.</p>
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<p>The frequency of oscillation vs. <math display="inline"><semantics> <mi>C</mi> </semantics></math> and the relative error of the frequency estimation vs. frequency.</p>
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<p>Frequency-dependent negative impedance <math display="inline"><semantics> <mrow> <mi>v</mi> <mo>=</mo> <mi>f</mi> <mo stretchy="false">(</mo> <mi>i</mi> <mo stretchy="false">)</mo> </mrow> </semantics></math>: (<b>a</b>) <math display="inline"><semantics> <mrow> <mi>f</mi> <mo>=</mo> <mn>1</mn> <mo> </mo> <mi>MHz</mi> </mrow> </semantics></math>, (<b>b</b>) <math display="inline"><semantics> <mrow> <mi>f</mi> <mo>=</mo> <mn>5</mn> <mo> </mo> <mi>MHz</mi> </mrow> </semantics></math>, and (<b>c</b>) <math display="inline"><semantics> <mrow> <mi>f</mi> <mo>=</mo> <mn>10</mn> <mo> </mo> <mi>MHz</mi> </mrow> </semantics></math>.</p>
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<p>(<b>a</b>) Typical voltage and current waveforms in the proposed oscillator at 10 MHz, (<b>b</b>) The phase portrait at 10 MHz (<math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>F</mi> </msub> <mo>=</mo> <mn>22</mn> <mo> </mo> <mrow> <mi mathvariant="normal">k</mi> <mi mathvariant="sans-serif">Ω</mi> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <msub> <mi>R</mi> <mi>X</mi> </msub> <mo>=</mo> <mn>100</mn> <mo> </mo> <mrow> <mi mathvariant="normal">k</mi> <mi mathvariant="sans-serif">Ω</mi> </mrow> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mi>C</mi> <mo>=</mo> <mn>0.79</mn> <mo> </mo> <mi>pF</mi> </mrow> </semantics></math>).</p>
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<p>Phase noise in the 1.049 MHz relaxation oscillator for three supply voltages: <math display="inline"><semantics> <mrow> <mo>±</mo> <mn>0.81</mn> <mo> </mo> <mi mathvariant="normal">V</mi> </mrow> </semantics></math>, <math display="inline"><semantics> <mrow> <mo>±</mo> <mn>0.90</mn> <mo> </mo> <mi mathvariant="normal">V</mi> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mo>±</mo> <mn>0.99</mn> <mo> </mo> <mi mathvariant="normal">V</mi> </mrow> </semantics></math> (from bottom to top).</p>
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18 pages, 5884 KiB  
Article
Reduced Order Generalized Integrator Based Modular Multilevel Converter Loop Current Suppression Strategy under Unbalanced Conditions in Distribution Networks
by Qiang Wang, Xipeng Zeng and Xiangliu Song
Energies 2024, 17(17), 4270; https://doi.org/10.3390/en17174270 - 26 Aug 2024
Viewed by 469
Abstract
Under the condition of grid voltage imbalance, the circulation of the bridge arm inside the modular multilevel converter (MMC) increases significantly, which leads to the aggravation of the distortion of the bridge arm current, and, thus, increases the system loss and reduces the [...] Read more.
Under the condition of grid voltage imbalance, the circulation of the bridge arm inside the modular multilevel converter (MMC) increases significantly, which leads to the aggravation of the distortion of the bridge arm current, and, thus, increases the system loss and reduces the power quality. To address this problem, this paper analyzes the mechanism of circulating current generation and proposes a circulating current suppression strategy based on a reduced-order generalized integrator (ROGI), which firstly uses the ROGI system to separate the second-harmonic positive- and negative-sequence components in the circulating current from the DC, and then converts the rotating coordinates of the circulating current’s second octave component into the DC to be fed into the proportional–integral quasi-resonance (PIR) controller for suppression. A simulation model of a 23-level MMC inverter is built in MATLAB/Simulink, and the control strategy proposed in this paper is compared with the classical proportional–integral (PI) control in simulation experiments. The simulation results show that the amplitude of the circulating current fluctuation of the classical PI control is reduced from 90 A to 22 A, and the harmonic distortion rate of the bridge arm current is reduced from 32.56% to 5.57%; the amplitude of the circulating current fluctuation of the control strategy proposed in this paper is reduced from 90 A to 5.7 A, and the harmonic distortion rate of the bridge arm current is reduced from 20.2% to 1.13%, which verifies the effectiveness of the pro-posed control strategy. Full article
(This article belongs to the Special Issue Advanced Control in Power Electronics, Drives and Generators)
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<p>Modular multilevel inverter basic topology.</p>
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<p>MMC transient energy equivalent circuit diagram.</p>
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<p>ROGI block diagram.</p>
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<p>Block diagram of positive- and negative-sequence separation.</p>
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<p>PIR controller block diagram.</p>
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<p>Circulation suppression strategy control block diagram. (<b>a</b>) Positive-, negative-, and zero-sequence separation; (<b>b</b>) circulation control.</p>
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<p>The bode plot of the PIR controller with different parameters. (<b>a</b>) Bode plots as Kp varies; (<b>b</b>) Bode plots as Kp varies; (<b>c</b>) Bode plots as Kr varies; (<b>d</b>) Bode plots as wc varies.</p>
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<p>The zero-pole diagram of the PIR circulating current suppressor.</p>
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<p>Circulation suppression control block diagram.</p>
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<p>Stacked approximation strategy flowchart.</p>
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<p>Three-phase AC voltage output. (<b>a</b>) Three-phase AC voltage output; (<b>b</b>) FFT analysis of the three-phase AC voltage output.</p>
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<p>Submodule capacitance voltage.</p>
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<p>A-phase bridge arm current. (<b>a</b>) A-phase upper bridge arm current; (<b>b</b>) FFT analysis at t = 0.25 s; (<b>c</b>) FFT analysis at t = 0.65 s.</p>
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<p>Simulation results of the control strategy circulation in this paper.</p>
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<p>PI control strategy circulation simulation results.</p>
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11 pages, 1759 KiB  
Article
Gold Nanoparticles at a Liquid Interface: Towards a Soft Nonlinear Metasurface
by Delphine Schaming, Anthony Maurice, Frédéric Gumy, Micheál D. Scanlon, Christian Jonin, Hubert H. Girault and Pierre-François Brevet
Photonics 2024, 11(9), 789; https://doi.org/10.3390/photonics11090789 - 23 Aug 2024
Cited by 1 | Viewed by 496
Abstract
Optical second-harmonic generation (SHG) is achieved using adsorbed gold nanoparticles (AuNPs) with an average diameter of 16 nm at the aqueous solution–air interface in reflection. A detailed analysis of the depth profile of the SHG intensity detected shows that two contributions appear in [...] Read more.
Optical second-harmonic generation (SHG) is achieved using adsorbed gold nanoparticles (AuNPs) with an average diameter of 16 nm at the aqueous solution–air interface in reflection. A detailed analysis of the depth profile of the SHG intensity detected shows that two contributions appear in the overall signal, one arising from the aqueous solution–air interface that is sensitive to the AuNP surface excess and one arising from the bulk aqueous phase. The latter is an incoherent signal also known as hyper-Rayleigh scattering (HRS). The results agree with those of an analysis involving Gaussian beam propagation optics and a Langmuir-like isotherm. Discrepancies are revealed for the largest AuNP concentrations used and indicate a new route for the design of soft metasurfaces. Full article
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<p>Experimental set-up of the aqueous drop at the end of the capillary tube, this itself mounted on a vertical translation stage. The bottom air–aqueous drop interface and volume are illuminated with the fundamental beam of a femtosecond Ti-Sa laser at 810 nm, and the output SHG light is captured with a photomultiplier tube placed behind a monochromator. The light beam is focused and captured through the same objective (see the text for further details). Red line indicates path of the fundamental beam whereas blue line indicates path of harmonic beam.</p>
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<p>Extinction spectrum for a 2 nM aqueous solution of 16 nm diameter gold nanoparticles (AuNPs), synthesized using Turkevich’s method. Insert: Transmission electron microscopy (TEM) of sample; the scale bar is 20 nm.</p>
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<p>SHG intensity profile, collected at 405 nm, of the aqueous solution–air interface as the position of the laser focal point was scanned from within and outside of a water droplet in the absence of AuNPs. The disks represent the experimental data and the red line represents the fit to the model (see <a href="#sec3dot3-photonics-11-00789" class="html-sec">Section 3.3</a>). The parameter obtained from the model is <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>0.5</mn> </mrow> </semantics></math>; see below.</p>
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<p>SHG intensity profile, collected at 405 nm, of the AuNP-modified aqueous solution–air interface as the position of the laser focal point was scanned from within and outside of a water droplet containing a 1:4 <span class="html-italic">v</span>/<span class="html-italic">v</span> dilution of a 2 nM aqueous solution measuring 16 nm in diameter AuNPs. At z &gt; 0.40 mm, the laser beam waist was positioned in the bulk aqueous phase, and at z &lt; 0.40 mm, it was located in air. The disks represent the experimental data, and the red line represents the fit to the model (see <a href="#sec3dot3-photonics-11-00789" class="html-sec">Section 3.3</a>). The parameter obtained from the model is <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>1.65</mn> </mrow> </semantics></math>; see below.</p>
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<p>SHG intensity, obtained at 405 nm, of the AuNP-modified aqueous solution–air interface as the position of the laser focal point was scanned in and out of a water droplet containing a 2 nM aqueous solution of 16 nm diameter AuNPs. At <span class="html-italic">z</span> &gt; 0.40 mm, the laser beam waist was positioned in the bulk aqueous phase and at <span class="html-italic">z</span> &lt; 0.40 mm, it was located in air. The disks represent the experimental data, and the red line represents the theoretical model fitting (see <a href="#sec3dot3-photonics-11-00789" class="html-sec">Section 3.3</a>). The parameter obtained from the model is <math display="inline"><semantics> <mrow> <mi>α</mi> <mo>=</mo> <mn>7.9</mn> </mrow> </semantics></math>; see below.</p>
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<p>Plot of the <span class="html-italic">α</span> parameter as a function of the concentration of the aqueous 16 nm diameter AuNP solution. The disks represent the experimental data, and the red line represents the linear adjustment.</p>
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19 pages, 5025 KiB  
Article
Fructose-Based Metal–Organic Framework as a Means to Synthesize Sr-Loaded Chitosan Nanospheres with NLO Properties for Theranostic Applications in Radiotherapy
by Alma Cioci, Paola Benzi, Carlo Canepa, Leonardo Mortati, Antonio Alvarez de la Paz, Itzel Marisol Garnica-Palafox, Francisco Manuel Sánchez-Arévalo, Roberto C. Dante and Domenica Marabello
Inorganics 2024, 12(9), 231; https://doi.org/10.3390/inorganics12090231 - 23 Aug 2024
Viewed by 496
Abstract
Chitosan is a biodegradable polymer derived from chitin, which is a versatile material for various biological applications due to its attractive properties such as biocompatibility, biodegradability, and non-toxicity. Furthermore, chitosan possesses Second Harmonic Generation (SHG) properties that are useful for biosensing applications. In [...] Read more.
Chitosan is a biodegradable polymer derived from chitin, which is a versatile material for various biological applications due to its attractive properties such as biocompatibility, biodegradability, and non-toxicity. Furthermore, chitosan possesses Second Harmonic Generation (SHG) properties that are useful for biosensing applications. In this work, we explored the possibility of exploiting chitosan-based nanospheres as SHG-based biosensors, and also as carriers of 89Sr radionuclide, an Active Pharmaceutical Ingredient (API) for radiopharmaceutical treatments in cancer therapy. To opportunely load the Sr ion on the nanospheres, we used a fructose-based Metal–Organic Framework, with the formula [Sr(C6H12O6)2(H2O)2]Cl2·H2O, because the sugar was able to drive the Sr ions on the chitosan matrix. Sr-loaded chitosan nanospheres were synthesized, characterized, and their SHG response was measured. The results encouraged us to propose the nanospheres for theranostic purposes, i.e., valuable for both therapeutic and diagnostic applications at the same time. Full article
(This article belongs to the Section Bioinorganic Chemistry)
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<p>FTIR spectra of (<b>a</b>) CS film, (<b>b</b>) PVA film, (<b>c</b>) CS/PVA film, (<b>d</b>) chitosan-based NPs, and (<b>e</b>) GA solution. The dotted lines indicate the assignment of the bands to the relevant functional groups.</p>
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<p>FTIR spectra of (<b>a</b>) Sr-NPs and (<b>b</b>) chitosan-based NPs. The dotted lines indicate the assignment of the bands to the relevant functional groups.</p>
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<p>Measured XRPD patterns of (<b>a</b>) pure chitosan-based NPs, (<b>b</b>) chitosan-based NPs filtered from the SrFRUCl solution, (<b>c</b>) Sr-NPs washed with water, and (<b>d</b>) SrFRUCl MOF calculated from the XRD structure.</p>
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<p>FESEM and EDS characterization of Sr-NPs: (<b>a</b>) SEM electron image of Sr-NPs, (<b>b</b>,<b>c</b>) distribution of Sr and Cl ions, and (<b>d</b>) mapping the sum spectrum of Sr-NPs.</p>
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<p>View of FRAG1. The fragment is composed of two connected chitin units that simulate a fragment of chitosan. One amide group of a chitin unit was modified to NH<sub>2</sub>. This fragment (FRAG1) was the starting structure for the theoretical calculations. Red = oxygen; blue = nitrogen; grey = carbon; white = hydrogen.</p>
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<p>Molecular fragments used in Born–Oppenheimer molecular dynamics (BOMD) calculations. (<b>a</b>) View of FRAG2, composed of FRAG1 with Sr<sup>2+</sup>, two Cl<sup>−</sup>, and a fructose molecule added. (<b>b</b>) Fragment of the structure of MOF SrFRUCl. Red = oxygen; blue = nitrogen; grey = carbon; white = hydrogen.</p>
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<p>The pairwise RMSD from the dynamics of the FRAG2. The vertical and horizontal axes represent an ordered pair from the comparison between two frames. The color bar on the side indicates the RMSD values, where yellow represents the highest value and purple the lowest.</p>
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<p>View of FRAG3 composed of FRAG1, in which the amide group of one chitin unit was modified to NH<sub>3</sub><sup>+</sup>, and a Cl<sup>−</sup> was connected through strong hydrogen bonds to the NH<sub>3</sub><sup>+</sup> group and a near OH group. Red = oxygen; blue = nitrogen; grey = carbon; white = hydrogen.</p>
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<p>The pairwise RMSD from the dynamics of the FRAG3. The vertical and horizontal axes represent an ordered pair by comparing two frames. The color bar on the side indicates the RMSD values, where yellow represents the highest value and purple is the lowest.</p>
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<p>View of FRAG4 composed of FRAG3 with Sr<sup>2+</sup>, two Cl<sup>−</sup>, and a fructose molecule. Red = oxygen; blue = nitrogen; gray = carbon; white = hydrogen.</p>
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<p>The pairwise RMSD from the dynamics of the FRAG4. The vertical and horizontal axes represent an ordered pair by comparing two frames. The color bar on the side indicates the RMSD values, where yellow represents the highest value and purple is the lowest.</p>
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<p>Graphs of energy versus time for the three simulations studied: (<b>a</b>) FRAG2, (<b>b</b>) FRAG3, and (<b>c</b>) FRAG4. Each point in the graph represents an energy difference between the initial energy and that at the marked time instant. The initial energy was arbitrarily set to zero. Time is measured in picoseconds and energy in Hartrees.</p>
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<p>SHG images measured in different points of the chitosan-based NPs: (<b>a</b>–<b>c</b>) before the Sr loading, (<b>d</b>–<b>f</b>) after the Sr loading (Sr-NPs).</p>
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<p>Synthesis of the chitosan NPs loaded with Sr. CS = chitosan; PVA = Poly(vinyl)alcohol; PIB = polyisobutylene; SM = sorbitan monooleate; GA = glutaraldehyde.</p>
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12 pages, 5791 KiB  
Article
Analysis and Suppression of Spoke-Type Permanent Magnet Machines Cogging Torque with Different Conditions for Electric Vehicles
by Jinlin Huang and Chen Wang
World Electr. Veh. J. 2024, 15(8), 376; https://doi.org/10.3390/wevj15080376 - 19 Aug 2024
Viewed by 505
Abstract
Spoke-type permanent magnet (STPM) machines have high power density and low cost due to flux concentrated effect and high air-gap flux density, but they can cause high cogging torque and torque ripple. To reduce the cogging torque, the analytical model considering a rotor [...] Read more.
Spoke-type permanent magnet (STPM) machines have high power density and low cost due to flux concentrated effect and high air-gap flux density, but they can cause high cogging torque and torque ripple. To reduce the cogging torque, the analytical model considering a rotor slot is established and compared with the finite element mothed (FEM). Then, the cogging torque production mechanism is revealed and analyzed under different conditions, which provides direction to optimize the cogging torque STPM machines. The harmonic content of cogging torque under different conditions is obtained based on the freezing permeability (FP) method. It is found that the fundamental waves mainly generate the cogging torque under a no-load condition, and it is mainly generated by the second harmonics under an on-load condition. In addition, the optimization method is introduced and researched, including rotor slot width, uneven rotor core, and so on. Finally, a 50 kW STPM machine prototype is manufactured and tested to verify the accuracy and efficiency of the analysis method. Full article
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<p>Topology of the STPM machine.</p>
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<p>Cogging torques at no−load with different methods.</p>
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<p>Cogging torque under no−load. (<b>a</b>) Waveform. (<b>b</b>) Harmonic spectrum.</p>
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<p>Cogging torque with on−load. (<b>a</b>) Waveforms. (<b>b</b>) Harmonic.</p>
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<p>Cogging torque versus different rotor slots under no load. (<b>a</b>) Waveform. (<b>b</b>) Harmonic.</p>
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<p>Cogging torque versus different rotor slots under on-load. (<b>a</b>) Waveforms. (<b>b</b>) Harmonic.</p>
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<p>Uneven rotor core structure.</p>
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<p>Cogging torque versus different uneven rotor core distance under no-load. (<b>a</b>) Waveforms. (<b>b</b>) Harmonic.</p>
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<p>Cogging torque versus different uneven rotor core distance under on-load. (<b>a</b>) Waveforms. (<b>b</b>) Harmonic.</p>
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<p>Uneven stator core structure.</p>
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<p>Cogging torque versus different uneven stator core distance under no-load. (<b>a</b>) Waveforms. (<b>b</b>) Harmonic.</p>
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<p>Cogging torque versus different uneven stator core distance under on-load. (<b>a</b>) Waveforms. (<b>b</b>) Harmonic.</p>
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<p>Stator auxiliary slot designs. (<b>a</b>) One auxiliary slot. (<b>b</b>) Two auxiliary slots. (<b>c</b>) Three auxiliary slots. (<b>d</b>) Four auxiliary slots.</p>
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<p>Cogging torque with different auxiliary slots under no−load. (<b>a</b>) Waveform. (<b>b</b>) Harmonics.</p>
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<p>Cogging torques of STPM machine with different auxiliary slots under on−load. (<b>a</b>) Waveform. (<b>b</b>) Harmonics.</p>
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<p>STPM machine with a rotor slot prototype test platform.</p>
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<p>Line back-EMF under 4800 r/min. (<b>a</b>) Waveform. (<b>b</b>) Harmonic spectra.</p>
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<p>Torque versus phase current. (<b>a</b>) Waveforms. (<b>b</b>) Phase current waveform.</p>
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12 pages, 6023 KiB  
Article
Second Harmonic Generation in Apodized Chirped Periodically Poled Lithium Niobate Loaded Waveguides Based on Bound States in Continuum
by Junjie He, Mianjie Lin and Fei Ma
Photonics 2024, 11(8), 769; https://doi.org/10.3390/photonics11080769 - 18 Aug 2024
Viewed by 759
Abstract
With the rapid development of optical communication and quantum information, the demand for efficient and broadband nonlinear frequency conversion has increased. At present, most single-frequency conversion processes in lithium niobate on insulator (LNOI) waveguides suffer from lateral leakage without proper design, leading to [...] Read more.
With the rapid development of optical communication and quantum information, the demand for efficient and broadband nonlinear frequency conversion has increased. At present, most single-frequency conversion processes in lithium niobate on insulator (LNOI) waveguides suffer from lateral leakage without proper design, leading to an additional increase in propagation loss. Achieving broadband frequency conversion also encounters this problem in that there are no relevant works that have solved this yet. In this paper, we theoretically propose an efficient and flat broadband second harmonic generation (SHG) in silicon nitride loaded apodized chirped periodically poled LNOI waveguides. By using a bound states in the continuum (BICs) mechanism to reduce the propagation loss and utilizing the characteristic that the BICs are insensitive to wavelength, an ultra-low-loss wave band of 80 nm is realized. Then, by employing an apodized chirped design, a flat broadband SHG is achieved. The normalized conversion efficiency (NCE) is approximately 222%W−1cm−2, and the bandwidth is about 100 nm. Moreover, the presented waveguides are simple and can be fabricated without direct etching of lithium niobate, exhibiting excellent fabrication tolerance. Our work may open a new avenue for exploring low-loss and flat broadband nonlinear frequency conversion on various on-chip integrated photonic platforms. Full article
(This article belongs to the Section Optoelectronics and Optical Materials)
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<p>(<b>a</b>) Three-dimensional structure diagram of silicon nitride loaded apodized chirped periodically poled LNOI waveguide, consisting of a silicon nitride waveguide, X-cut lithium niobate thin film and silicon dioxide substrate. (<b>b</b>) Schematic diagram depicting the <span class="html-italic">z-x</span> cross section of waveguide structure, where <span class="html-italic">w</span> and <span class="html-italic">t</span> denote the width and thickness of the silicon nitride waveguide respectively, and <span class="html-italic">h</span> represents the thickness of the lithium niobate thin film.</p>
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<p>The modal field distribution of TE bound mode for (<b>a</b>) FF wave at 1600 nm and (<b>b</b>) SH wave at 800 nm.</p>
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<p>(<b>a</b>) Effective refractive index distribution of SH wave at 800 nm in region I and II. The red line represents the refractive index distribution of TM mode, the blue line represents the refractive index distribution of TE mode, the green part represents the TM continuous modes, and the black line represents the TE bound mode in the TM continuous modes. (<b>b</b>) The photonic potential distribution of SH wave at 800 nm. The potential well of TE mode is higher than that of TM mode.</p>
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<p>(<b>a</b>) Dissipated channels of bound mode to continuous mode. (<b>b</b>) The propagation loss of FF and SH waves in TE bound mode varies with silicon nitride waveguide width <span class="html-italic">w</span>. At width <span class="html-italic">w</span> = 1.62 μm, the propagation loss reaches minimum, indicating the BICs.</p>
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<p>(<b>a</b>) The effective refractive index of FF and SH waves varies with wavelength. (<b>b</b>) The TE bound mode propagation loss of FF and SH waves varies with wavelength; the red line and blue line represent the propagation loss of FF and SH waves, respectively. The propagation loss of SH wave is less than 0.05 dB/cm within a bandwidth of 80 nm from 1554 nm to 1634 nm.</p>
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<p>(<b>a</b>) The poling period required for quasi phase matching when the FF wavelength changes. (<b>b</b>) Schematic diagram of apodized step-chirped periodically poled structure. Arrows represent the poling direction of lithium niobate thin film.</p>
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<p>(<b>a</b>) The red line and the blue line represent respectively the G<sup>2</sup> curves corresponding to chirped periodic poling and uniformly single-period poling with the same waveguide parameters, where the dotted and solid red line represent respectively the step chirp and apodized chirp. (<b>b</b>) The NCE of broadband SHG considering the propagation loss. The blue line represents BICs with waveguide width of <span class="html-italic">w</span> = 1.62 μm, and the red line represents non-BICs with waveguide width of <span class="html-italic">w</span> = 1.30 μm.</p>
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<p>Fabrication tolerance of (<b>a</b>) etched sidewall angle and (<b>b</b>) width of silicon nitride loaded waveguides.</p>
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8 pages, 2271 KiB  
Article
Spectroscopic Analysis on Different Stacking Configurations of Multilayered MoSe2
by Xiang Hu, Yong Wang, Jiaren Yuan, Xiaxia Liao and Yangbo Zhou
Materials 2024, 17(16), 3998; https://doi.org/10.3390/ma17163998 - 11 Aug 2024
Viewed by 929
Abstract
Transition metal dichalcogenides (TMDs) are drawing significant attention due to their intriguing photoelectric properties, and these interesting properties are closely related to the number of layers. Obtaining layer-controlled and high-quality TMD is still a challenge. In this context, we use the salt-assisted chemical [...] Read more.
Transition metal dichalcogenides (TMDs) are drawing significant attention due to their intriguing photoelectric properties, and these interesting properties are closely related to the number of layers. Obtaining layer-controlled and high-quality TMD is still a challenge. In this context, we use the salt-assisted chemical vapor deposition to grow multilayered MoSe2 flake and characterize it by Raman spectroscopy, second harmonic generation, and photon luminescence. Spectroscopic analysis is an effective way to characterize the stacking order and optoelectronic properties of two-dimensional materials. Notably, the corresponding mapping reflects the film quality and homogeneity. We found that the grown continuous monolayer, bilayer, and trilayer of MoSe2 sheets with different stacking orders exhibit distinctive features. For bilayer MoSe2, the most stable stacking configurations are the AA’ and AB order. And the uniformity of the spectroscopy maps demonstrates the high quality of the stacked MoSe2 sheets. Full article
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<p>(<b>a</b>) The schematic diagram of the salt-assisted CVD setup for MoSe<sub>2</sub> growth. (<b>b</b>) The optical microscopy image of monolayer, bilayer, and trilayer MoSe<sub>2</sub>. (<b>c</b>) The corresponding Raman characterization of monolayer (1L), bilayer (2L), and trilayer (3L) MoSe<sub>2</sub> in (<b>b</b>).</p>
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<p>(<b>a</b>) Optical microscopy image of bilayer MoSe<sub>2</sub> with different orientations marked by I, II, III, and IV. The corresponding (<b>b</b>) Raman spectroscopy, (<b>c</b>) SHG, and (<b>d</b>) PL spectra of the four regions. Crystal structure of (<b>e</b>) AA’ and (<b>f</b>) AB stack configuration of bilayer MoSe<sub>2</sub>.</p>
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<p>(<b>a</b>) Optical microscopy image, (<b>b</b>) Raman mapping (19.2 cm<sup>−1</sup>), (<b>c</b>) SHG (532 nm) mapping, and (<b>d</b>) PL (815 nm) mapping of AA’-stacked bilayer MoSe<sub>2</sub>. (<b>e</b>) Optical microscopy image, (<b>f</b>) Raman mapping (19.2 cm<sup>−1</sup>), (<b>g</b>) SHG (532 nm) mapping, and (<b>h</b>) PL (815 nm) mapping of AB-stacked bilayer MoSe<sub>2</sub>.</p>
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<p>(<b>a</b>) Optical microscopy image, (<b>b</b>) Raman mapping (19.2 cm<sup>−1</sup>), (<b>c</b>) SHG (532 nm) mapping, and (<b>d</b>) PL (815 nm) mapping of AA’A-stacked trilayer MoSe<sub>2</sub>. (<b>e</b>) Optical microscopy image, (<b>f</b>) Raman mapping (19.2 cm<sup>−1</sup>), (<b>g</b>) SHG (532 nm) mapping, and (<b>h</b>) PL (815 nm) mapping of AA’B-stacked trilayer MoSe<sub>2</sub>.</p>
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