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CN113885115B - Terahertz beam deflector based on dielectric metasurface and its design method - Google Patents

Terahertz beam deflector based on dielectric metasurface and its design method Download PDF

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CN113885115B
CN113885115B CN202111218403.XA CN202111218403A CN113885115B CN 113885115 B CN113885115 B CN 113885115B CN 202111218403 A CN202111218403 A CN 202111218403A CN 113885115 B CN113885115 B CN 113885115B
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beam deflector
incident light
grating
terahertz
thickness
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CN113885115A (en
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黄峰
吴泽波
陈佳强
陈燕青
王向峰
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Fuzhou University
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B5/00Optical elements other than lenses
    • G02B5/18Diffraction gratings
    • G02B5/1861Reflection gratings characterised by their structure, e.g. step profile, contours of substrate or grooves, pitch variations, materials
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B5/00Optical elements other than lenses
    • G02B5/18Diffraction gratings
    • G02B5/1866Transmission gratings characterised by their structure, e.g. step profile, contours of substrate or grooves, pitch variations, materials
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

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Abstract

The invention provides a terahertz light beam deflector based on a dielectric super surface and a design method thereof, wherein silicon dioxide is used as a base material and a grating unit material of the light beam deflector; the unit structure of the beam deflector is constructed by using the periodic arrangement of two one-dimensional gratings; setting the polarization state, working frequency and incident angle of incident light; modulating the phase of incident light by designing the grating and substrate dimensions of a fixed thickness with the arrangement period as an optimization variable, and selectively scattering most of the incident light to the +1 diffraction order while suppressing the intensities of other diffraction orders; and adding a thickness optimization variable, and optimizing the size, the periodic arrangement and the substrate thickness of two gratings with different widths to finally obtain the terahertz light beam deflector which can guide incident light to a very large deflection angle and has high deflection efficiency in a wide deflection angle range. The deflector can realize large-angle deflection, has small loss, is easy to process and has high deflection efficiency.

Description

基于介质超表面的太赫兹光束偏折器及其设计方法Terahertz beam deflector based on dielectric metasurface and its design method

技术领域technical field

本发明属于太赫兹和光场调控等技术领域,尤其涉及一种基于介质超表面的太赫兹光束偏折器及其设计方法。The invention belongs to the technical fields of terahertz and light field regulation, and in particular relates to a terahertz beam deflector based on a dielectric metasurface and a design method thereof.

背景技术Background technique

太赫兹波一般指波段位于0.1THz的毫米波和10THz的远红外线之间的电磁波。太赫兹波具有不同于微波、红外和X射线等电磁波的特点,太赫兹波在宽带移动通信、卫星通信、军用雷达、物体成像、环境监测、医疗诊断等方面具有显著的研究价值。Terahertz waves generally refer to electromagnetic waves with a band between millimeter waves of 0.1 THz and far-infrared rays of 10 THz. Terahertz waves are different from electromagnetic waves such as microwaves, infrared and X-rays. Terahertz waves have significant research value in broadband mobile communications, satellite communications, military radar, object imaging, environmental monitoring, and medical diagnosis.

光场调控技术近年来吸引了广大科研工作者的强烈兴趣。事实上,任何光子技术本质上都是对光场的各个物理参量进行多种多样的调控,包括频率、波长、时间、振幅、相位、偏振等,从而实现光信息的加载、处理和提取。其中,光束的偏折控制处于至关重要的地位,一直以来都是光学领域的研究重点,在工业、通讯、生物医疗、天文观测和国防军事等众多领域有着广泛的应用。In recent years, light field modulation technology has attracted the strong interest of many scientific researchers. In fact, any photonic technology is essentially a variety of adjustments to various physical parameters of the light field, including frequency, wavelength, time, amplitude, phase, polarization, etc., so as to realize the loading, processing and extraction of optical information. Among them, the deflection control of the light beam is in a crucial position and has always been the focus of research in the field of optics. It has a wide range of applications in many fields such as industry, communication, biomedicine, astronomical observation, and national defense.

目前应用于太赫兹波段传统的超表面光束偏折器,大都采用一系列尺寸或者方向不同的亚波长单元组成超表面结构,每个单元形成特定的相位突变,整体结构形成0-2π的相位梯度。当光垂直入射时,单元阵列引入相位梯度,就可以实现出射光角度的偏转。传统光束偏折器大多只能实现相对较小的偏折,在大的偏转角下器件效率会显著降低,并且传统的超表面器件以金属作为单元材料,这样会因为金属损耗而导致器件效率低下。因此设计一种大偏转角、高效率的太赫兹光束偏折器具有非常重要的意义。At present, the traditional metasurface beam deflectors used in the terahertz band mostly use a series of subwavelength units with different sizes or directions to form a metasurface structure, each unit forms a specific phase mutation, and the overall structure forms a phase gradient of 0-2π . When the light is vertically incident, the phase gradient introduced by the unit array can realize the deflection of the outgoing light angle. Most traditional beam deflectors can only achieve relatively small deflection, and the device efficiency will be significantly reduced at large deflection angles, and traditional metasurface devices use metal as the unit material, which will lead to low device efficiency due to metal loss . Therefore, it is of great significance to design a large deflection angle and high efficiency terahertz beam deflector.

发明内容Contents of the invention

有鉴于此,为了克服现有技术存在的缺陷和不足,本发明的目的在于提供一种基于介质超表面的太赫兹光束偏折器及其设计方法,采用二氧化硅作为光束偏折器的基底材料和光栅单元材料;利用两个一维光栅周期性排列构建光束偏折器的单元结构;设置入射光偏振态、工作频率、入射角;通过设计固定厚度的光栅及基底尺寸,以排列周期为优化变量来调制入射光的相位,并且有选择地将大部分入射光散射到+1衍射级,同时抑制其他衍射级的强度;加入厚度优化变量,通过对两个宽度不同的光栅的尺寸、周期排列、基底厚度进行优化,最终得到能够将入射光引导到非常大的偏转角,并在广泛的偏转角范围内具有高的偏转效率的太赫兹光束偏折器。本发明中的偏折器能够实现大角度偏转、损耗小且易于加工、偏转效率高。In view of this, in order to overcome the defects and deficiencies in the prior art, the object of the present invention is to provide a terahertz beam deflector based on a dielectric metasurface and its design method, using silicon dioxide as the substrate of the beam deflector Materials and grating unit materials; use two one-dimensional gratings to periodically arrange the unit structure of the beam deflector; set the incident light polarization state, operating frequency, and incident angle; by designing a fixed thickness grating and substrate size, the arrangement period is Optimize the variable to modulate the phase of the incident light, and selectively scatter most of the incident light to the +1 diffraction order, while suppressing the intensity of other diffraction orders; add the thickness optimization variable, by adjusting the size and period of the two gratings with different widths The arrangement and substrate thickness are optimized, and finally a terahertz beam deflector that can guide the incident light to a very large deflection angle and has high deflection efficiency in a wide range of deflection angles is obtained. The deflector in the invention can realize large-angle deflection, has low loss, is easy to process, and has high deflection efficiency.

本发明具体采用以下技术方案:The present invention specifically adopts the following technical solutions:

一种基于介质超表面的太赫兹光束偏折器,其特征在于:首先利用两个一维光栅的周期性排列构建光束偏折器的单元结构;基于入射光偏振态、工作频率、入射角,通过设计固定厚度的光栅及基底尺寸,以排列周期为优化变量调制入射光的相位。A terahertz beam deflector based on a dielectric metasurface is characterized in that: firstly, the unit structure of the beam deflector is constructed by using the periodic arrangement of two one-dimensional gratings; based on the incident light polarization state, operating frequency, and incident angle, By designing the grating with a fixed thickness and the size of the substrate, the phase of the incident light is modulated with the arrangement period as the optimal variable.

进一步地,采用二氧化硅作为基底材料和光栅单元材料。该材料在太赫兹波段透过率高;折射率n=1.98;太赫兹波损耗小且易于加工。Further, silicon dioxide is used as the base material and grating unit material. The material has high transmittance in the terahertz band; the refractive index n=1.98; the terahertz wave loss is small and easy to process.

进一步地,所述一维光栅结构为反射式或透射式衍射光栅。可以采用Au设置在二氧化硅基底的下方作为反射材料,制备反射式衍射光栅。Further, the one-dimensional grating structure is a reflective or transmissive diffraction grating. Au can be arranged under the silicon dioxide substrate as a reflective material to prepare a reflective diffraction grating.

进一步地,以排列周期为优化变量调制入射光的相位的设计目标为:将大部分入射光散射到+1衍射级,同时抑制其他衍射级的强度。Furthermore, the design goal of modulating the phase of the incident light with the arrangement period as the optimal variable is to scatter most of the incident light to the +1 diffraction order while suppressing the intensity of other diffraction orders.

更优地,进一步通过调整光栅的厚度和宽度控制入射光通过光栅整列的相位延迟,通过对两个宽度不同的光栅的尺寸、周期排列、基底厚度进行优化,从而获得大偏转角的太赫兹光束偏折器。More preferably, by adjusting the thickness and width of the grating, the phase delay of the incident light passing through the grating array is further controlled, and by optimizing the size, periodic arrangement, and substrate thickness of two gratings with different widths, a terahertz beam with a large deflection angle can be obtained deflector.

进一步地,所述一维光栅结构为反射式或透射式衍射光栅;所述排列周期为:p=λ/sinθ,其中λ为入射光波长,θ为偏转角。比如当入射光波长为400μm,对应工作频率为0.75THz,通过以上设计,偏转角可以达到20°-70°。Further, the one-dimensional grating structure is a reflective or transmissive diffraction grating; the arrangement period is: p=λ/sinθ, where λ is the wavelength of the incident light, and θ is the deflection angle. For example, when the wavelength of incident light is 400 μm and the corresponding working frequency is 0.75 THz, through the above design, the deflection angle can reach 20°-70°.

与现有技术相比,本发明及其优选方案能够实现大角度偏转、损耗小且易于加工、偏转效率高。现有传统光束偏折器大多只能实现相对较小的偏折,在大的偏转角下器件效率会显著降低,并且传统的超表面器件以金属作为单元材料,这样会因为金属损耗而导致器件效率低下,阻碍了诸如分子显微镜等高性能成像应用的发展。相比于此类设计,本发明利用两个一维光栅周期性排列代替传统超表面光束偏折器使用的一系列离散单元。光栅的厚度和宽度可以控制入射光通过光栅整列的相位延迟,通过优化光栅的尺寸以及基底尺寸来调制入射光的相位得到特定角度偏转的超表面太赫兹光束偏折器,获得大角度偏转且高偏转效率的太赫兹光束偏折器。Compared with the prior art, the present invention and its preferred solution can realize large-angle deflection, low loss, easy processing and high deflection efficiency. Most of the existing traditional beam deflectors can only achieve relatively small deflection, and the efficiency of the device will be significantly reduced at a large deflection angle, and the traditional metasurface device uses metal as the unit material, which will cause the device to lose due to metal loss. Inefficiencies hinder the development of high-performance imaging applications such as molecular microscopy. Compared with such designs, the present invention uses two one-dimensional gratings periodically arranged to replace a series of discrete units used in traditional metasurface beam deflectors. The thickness and width of the grating can control the phase delay of the incident light passing through the grating array. By optimizing the size of the grating and the size of the substrate to modulate the phase of the incident light, a metasurface terahertz beam deflector with specific angle deflection can be obtained, which can obtain large angle deflection and high Deflection efficiency of terahertz beam deflectors.

附图说明Description of drawings

下面结合附图和具体实施方式对本发明进一步详细的说明:Below in conjunction with accompanying drawing and specific embodiment the present invention is described in further detail:

图1为本发明实施例透射式太赫兹光束偏折器结构和原理示意图;Fig. 1 is a schematic diagram of the structure and principle of a transmissive terahertz beam deflector according to an embodiment of the present invention;

图2为本发明实施例反射式太赫兹光束偏折器结构和原理示意图;Fig. 2 is a schematic diagram of the structure and principle of a reflective terahertz beam deflector according to an embodiment of the present invention;

图3为本发明实施例透射式光束偏折器在固定厚度和优化厚度下衍射效率与偏转角的关系示意图。Fig. 3 is a schematic diagram of the relationship between diffraction efficiency and deflection angle of the transmissive beam deflector according to the embodiment of the present invention under fixed thickness and optimized thickness.

图4为本发明实施例反射式光束偏折器在固定厚度和优化厚度下衍射效率与偏转角的关系示意图;4 is a schematic diagram of the relationship between the diffraction efficiency and the deflection angle of the reflective beam deflector of the embodiment of the present invention under fixed thickness and optimized thickness;

图5为本发明实施例透射式光束偏转器在偏转角为20°和70°情况下的波阵面示意图;Fig. 5 is a schematic diagram of the wave front of the transmissive beam deflector according to the embodiment of the present invention when the deflection angles are 20° and 70°;

图6为本发明实施例反射式光束偏转器在偏转角为20°和70°情况下的波阵面示意图。FIG. 6 is a schematic diagram of wave fronts of a reflective beam deflector according to an embodiment of the present invention when the deflection angles are 20° and 70°.

具体实施方式Detailed ways

为让本专利的特征和优点能更明显易懂,下文特举实施例,作详细说明如下:In order to make the features and advantages of this patent more obvious and easy to understand, the following special examples are described in detail as follows:

本实施例对光束偏折器的设计主要采用如下步骤:In this embodiment, the design of the beam deflector mainly adopts the following steps:

步骤S1:利用两个宽度不同的一维光栅周期性排列构建光束偏折器的单元结构;Step S1: using two one-dimensional gratings with different widths to be periodically arranged to construct the unit structure of the beam deflector;

步骤S2:设计的入射光偏振态为TM偏振光、入射光的波长为400μm,对应工作频率为0.75THz、入射角为0°;Step S2: The designed polarization state of the incident light is TM polarized light, the wavelength of the incident light is 400 μm, the corresponding working frequency is 0.75 THz, and the incident angle is 0°;

步骤S3:设计光栅的固定厚度为200μm,基底的固定厚度为300μm,以排列周期为优化变量来调制入射光的相位,并且可以有选择地将大部分入射光散射到+1衍射级,同时抑制其他衍射级的强度;Step S3: Design the fixed thickness of the grating to be 200 μm, and the fixed thickness of the substrate to be 300 μm. The phase of the incident light is modulated with the arrangement period as the optimal variable, and can selectively scatter most of the incident light to the +1 diffraction order while suppressing Intensities of other diffraction orders;

步骤S4:加入厚度优化变量,根据严格耦合波分析方法,利用Matlab编程计算不同偏转角下的衍射效率。在满足约束条件下,对设计的结构进行优化。入射光为正入射,且需要光落在+1衍射级上,这时光栅周期p=λ/sinθ。分别优化偏转角度为20°-70°的对应的太赫兹光束偏折器的结构尺寸,最终得到能够将入射光引导到非常大的偏转角,并在广泛的偏转角范围内具有高的偏转效率的太赫兹光束偏折器。Step S4: add thickness optimization variables, and use Matlab programming to calculate the diffraction efficiency at different deflection angles according to the rigorous coupled wave analysis method. Under the constraint conditions, the designed structure is optimized. The incident light is normal incidence, and the light needs to fall on the +1 diffraction order, then the grating period p=λ/sinθ. Optimizing the structural dimensions of the corresponding terahertz beam deflectors with a deflection angle of 20°-70° respectively, and finally obtaining the ability to guide the incident light to a very large deflection angle with high deflection efficiency in a wide range of deflection angles terahertz beam deflector.

图1和图2分别为本发明设计例中的透射式和反射式太赫兹光束偏折器设计示意图。Fig. 1 and Fig. 2 are design schematic diagrams of the transmissive and reflective terahertz beam deflectors in the design examples of the present invention, respectively.

图3和图4分别为透射式和反射式光束偏折器在固定厚度和优化厚度下衍射效率与偏转角的关系。在工作频率f=0.75THz,入射光为TM偏振光垂直入射,偏转角范围设置为20°-70°的情况下。从图中可以看出,当为透射式时,固定厚度的光束偏折器衍射效率整体较低,但也高于传统光束偏折器大偏转角时的衍射效率,而将光栅厚度与基底厚度也作为优化变量参与优化时,整体衍射效率大幅提高,尤其在偏转角为30°时,衍射效率最高达到了0.99,并且20°-70°范围内的偏转角的衍射效率均保持在0.8以上,比传统光束偏折器大偏转角时的效率高出许多;当为反射式时,偏转角小于50°,两种方案的衍射效率都达到了0.8以上,尤其是厚度参与优化的情况下,在20°-70°的偏转角范围内,设计的光束偏折器的衍射效率接近1。Figure 3 and Figure 4 respectively show the relationship between the diffraction efficiency and the deflection angle of the transmissive and reflective beam deflectors at fixed thickness and optimized thickness. Under the condition that the working frequency f=0.75THz, the incident light is TM polarized light incident vertically, and the deflection angle range is set to 20°-70°. It can be seen from the figure that when it is a transmission type, the diffraction efficiency of the fixed-thickness beam deflector is generally low, but it is also higher than the diffraction efficiency of the traditional beam deflector at a large deflection angle, and the thickness of the grating and the thickness of the substrate When participating in the optimization as an optimization variable, the overall diffraction efficiency is greatly improved, especially when the deflection angle is 30°, the diffraction efficiency reaches a maximum of 0.99, and the diffraction efficiency of the deflection angle in the range of 20°-70° is maintained above 0.8, The efficiency is much higher than that of the traditional beam deflector when the deflection angle is large; when it is reflective, the deflection angle is less than 50°, and the diffraction efficiency of the two schemes has reached above 0.8, especially when the thickness is involved in the optimization. In the deflection angle range of 20°-70°, the diffraction efficiency of the designed beam deflector is close to 1.

图5和图6分别为本发明设计例中的透射式和反射式光束偏转器在偏转角为20°和70°情况下在x-z平面内的波阵面,其中横纵坐标分别表示在x和z方向上的长度,用波长的倍数来表示;箭头分别表示入射方向和偏转方向;等高线为场强度;方框里为太赫兹光束偏折器的几何位置。从图中可以看出,当为透射式时,入射光在经过设计的器件后传播方向发生了偏转。用优化后的结构参数代入p=λ/sinθ去反推模拟出的偏转角,结论与最开始设置的偏转角吻合,透射光束确实被高效地偏转到预设的角度,这说明优化过程是有效的,也说明了设计的光束偏折器确实可以实现光束高效率的大偏转角出射;当为反射式时,可以看出反射光发生了一定角度的偏转,测量得到反推模拟出的偏转角与设置的偏转角吻合,证明所设计的反射式光束偏折器满足要求。Fig. 5 and Fig. 6 are the wavefronts in the x-z plane when the deflection angles are 20° and 70° respectively for the transmissive and reflective beam deflectors in the design examples of the present invention, wherein the abscissa and ordinate are respectively represented in x and The length in the z direction is expressed in multiples of the wavelength; the arrows indicate the incident direction and the deflection direction; the contour line is the field intensity; the box is the geometric position of the terahertz beam deflector. It can be seen from the figure that when it is transmissive, the incident light is deflected in the direction of propagation after the designed device. Substituting the optimized structural parameters into p=λ/sinθ to deduce the simulated deflection angle, the conclusion is consistent with the deflection angle set at the beginning, and the transmitted beam is indeed efficiently deflected to the preset angle, which shows that the optimization process is effective It also shows that the designed beam deflector can indeed achieve high efficiency and large deflection angle of the beam; when it is reflective, it can be seen that the reflected light is deflected at a certain angle, and the measured deflection angle is reversed and simulated It is consistent with the set deflection angle, which proves that the designed reflective beam deflector meets the requirements.

表1为本发明设计例中的透射式光束偏折器优化后的结构参数。可以发现相同偏转角下的周期基本相等,这是因为周期p=λ/sinθ,周期只与入射光波长和偏转角有关。Table 1 shows the optimized structural parameters of the transmissive beam deflector in the design example of the present invention. It can be found that the periods under the same deflection angle are basically equal, because the period p=λ/sinθ, and the period is only related to the wavelength of the incident light and the deflection angle.

表2为本发明设计例中的反射式光束偏折器优化后的结构参数。透射式和反射式光束偏折器的各个偏转角度下的光栅周期都是基本相同的。并且发现反射式光束偏折器的光栅厚度在20°-70°的偏转角度范围内总比透射式光束偏折器的光栅厚度薄很多,这是因为光会与超表面发生两次相互作用。Table 2 shows the optimized structural parameters of the reflective beam deflector in the design example of the present invention. The grating period at each deflection angle is substantially the same for the transmissive and reflective beam deflectors. And it is found that the grating thickness of the reflective beam deflector is much thinner than that of the transmissive beam deflector in the deflection angle range of 20°-70°, because the light interacts with the metasurface twice.

本专利不局限于上述最佳实施方式,任何人在本专利的启示下都可以得出其它各种形式的基于介质超表面的太赫兹光束偏折器及其设计方法,凡依本发明申请专利范围所做的均等变化与修饰,皆应属本专利的涵盖范围。This patent is not limited to the above-mentioned optimal implementation mode, anyone can draw other various forms of terahertz beam deflectors and design methods based on dielectric metasurfaces under the inspiration of this patent, and any patent application according to the present invention The equivalent changes and modifications made within the scope of the invention should all fall within the scope of this patent.

Claims (3)

1. A terahertz light beam deflector based on a medium super surface is characterized in that: firstly, constructing a unit structure of a beam deflector by utilizing the periodic arrangement of two one-dimensional gratings; based on the polarization state, working frequency and incident angle of the incident light, modulating the phase of the incident light by designing the grating with fixed thickness and the size of the substrate and taking the arrangement period as an optimized variable;
silicon dioxide is used as a base material and a grating unit material;
the design targets for modulating the phase of the incident light with the arrangement period as the optimization variable are: and scattering most of incident light to a +1 diffraction order, inhibiting the intensity of other diffraction orders, controlling the phase delay of the incident light passing through the whole array of the gratings by adjusting the thickness and the width of the gratings, and optimizing the size, the periodic arrangement and the substrate thickness of two gratings with different widths to obtain the terahertz light beam deflector with a large deflection angle.
2. The terahertz beam deflector based on the super surface of a medium according to claim 1, wherein: the one-dimensional grating structure is a reflective or transmissive diffraction grating.
3. The method for designing the terahertz beam deflector based on the medium super surface according to claim 1, wherein the method comprises the following steps: the one-dimensional grating structure is a reflective or transmissive diffraction grating; the arrangement period is as follows: p=l/sinq, where l is the wavelength of the incident light and q is the deflection angle.
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