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CN112162421A - Reflective broadband adjustable polarization converter based on multilayer graphene-medium composite super surface - Google Patents

Reflective broadband adjustable polarization converter based on multilayer graphene-medium composite super surface Download PDF

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CN112162421A
CN112162421A CN201910970961.8A CN201910970961A CN112162421A CN 112162421 A CN112162421 A CN 112162421A CN 201910970961 A CN201910970961 A CN 201910970961A CN 112162421 A CN112162421 A CN 112162421A
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graphene
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dielectric
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polarization converter
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关胜男
程洁嵘
陈铁红
常胜江
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Nankai University
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    • GPHYSICS
    • G02OPTICS
    • G02FOPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/01Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour 
    • G02F1/0136Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour  for the control of polarisation, e.g. state of polarisation [SOP] control, polarisation scrambling, TE-TM mode conversion or separation

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Abstract

本发明公开了一种基于多层石墨烯‑介质复合超表面的反射式宽带可调偏振转换器,属于新型人工电磁材料和太赫兹科学技术领域。该偏振转换器包括上层高折射率介质超表面阵列(1),中间石墨烯‑电极层(2),下层低折射率基底层(3)。5‑层石墨烯薄膜(4)和(6)分别置于均匀介质间隔薄层(5)两侧,上下石墨烯层之间设有可控偏置电压装置(7),共同构成中间层(2)。通过改变石墨烯层电导率,可同时移动正交偏振变换的多个离散频段,实现极宽的动态频率范围,此外,本发明的偏振转换器具有高偏振转换率,低偏置电压,且结构简单,操控性灵活。The invention discloses a reflective broadband adjustable polarization converter based on a multi-layer graphene-medium composite metasurface, which belongs to the fields of novel artificial electromagnetic materials and terahertz science and technology. The polarization converter comprises an upper high-refractive-index medium metasurface array (1), a middle graphene-electrode layer (2), and a lower low-refractive-index base layer (3). The 5-layer graphene films (4) and (6) are respectively placed on both sides of the uniform dielectric spacer thin layer (5), and a controllable bias voltage device (7) is arranged between the upper and lower graphene layers, which together constitute an intermediate layer ( 2). By changing the electrical conductivity of the graphene layer, multiple discrete frequency bands of orthogonal polarization conversion can be moved simultaneously, and an extremely wide dynamic frequency range can be realized. Simple and flexible handling.

Description

一种基于多层石墨烯-介质复合超表面的反射式宽带可调偏 振转换器A Reflective Broadband Tunable Polarization Converter Based on Multilayer Graphene-Dielectric Composite Metasurface

技术领域technical field

本发明涉及一种基于多层石墨烯-介质复合超表面的反射式宽带可调偏振转换器,属于新型人工电磁材料和太赫兹科学技术领域。The invention relates to a reflection type broadband tunable polarization converter based on a multilayer graphene-medium composite metasurface, and belongs to the fields of novel artificial electromagnetic materials and terahertz science and technology.

背景技术Background technique

超表面通常是由周期性或准周期性的亚波长金属/介质结构天线构成的二维平面阵列。不同于传统光学元件依靠传播路径上的相位累积进行波束控制,超表面阵列通过调节天线单元的形状、参数、排列方式等改变天线的谐振响应,进而对入射光的振幅、偏振、相位等属性进行精确操控,可以实现许多自然材料不具备的新特性,比如高的人工双折射系数,从而可以利用超薄结构实现波片、偏振片、复杂矢量光束产生器等偏振控制器件。Metasurfaces are usually two-dimensional planar arrays of periodic or quasi-periodic subwavelength metal/dielectric structured antennas. Different from traditional optical elements relying on the phase accumulation on the propagation path for beam control, the metasurface array changes the resonant response of the antenna by adjusting the shape, parameters and arrangement of the antenna unit, and then adjusts the amplitude, polarization, phase and other properties of the incident light. Precise manipulation can realize many new properties that natural materials do not have, such as high artificial birefringence, so that polarization control devices such as wave plates, polarizers, and complex vector beam generators can be realized by using ultra-thin structures.

天线的谐振响应决定了该类器件的带宽往往较窄,很难满足实际应用的需求,为此,发展宽带和频率可调谐的超表面偏振器件具有重要意义。通过在超表面中引入能响应光、电、热等外界激励的功能材料,近年来发展出一系列带宽可调谐的超表面偏振器件。石墨烯由于电导率可由外加偏置电压控制,响应速度快,且在太赫兹波段支持表面等离子谐振,成为太赫兹可调超表面器件的主要功能材料。The resonant response of the antenna determines that the bandwidth of such devices is often narrow, which is difficult to meet the needs of practical applications. Therefore, it is of great significance to develop broadband and frequency-tunable metasurface polarization devices. By introducing functional materials into metasurfaces that can respond to external excitations such as light, electricity, and heat, a series of bandwidth-tunable metasurface polarizers have been developed in recent years. Graphene has become the main functional material of terahertz tunable metasurface devices because its conductivity can be controlled by an external bias voltage, its response speed is fast, and it supports surface plasmon resonance in the terahertz band.

通过将石墨烯图形化或将其与金属超表面结合,利用电压控制石墨烯的电导率,实现对表面等离子谐振的动态控制,从而实现了可调谐的半波片、四分之一波片、偏振片等。但其存在三方面的问题:一是石墨烯的电调控往往需要很高的偏置电压,二是具有静态宽带响应的设计其电调控的动态频率范围很小,而具有静态窄带响应的设计,电调控的动态频率范围较宽,无法兼顾大的静态带宽和大的动态带宽。三是由于金属和石墨烯自身的损耗,工作效率很低。因此本发明提出将石墨烯与介质超表面相结合实现正交偏振变换的功能,不仅降低了材料损耗,而且可以利用较低的偏置电压对动态带宽进行大范围的调节,为太赫兹光谱、成像等系统提供实用的偏振转换器件。By patterning graphene or combining it with metal metasurfaces, the electrical conductivity of graphene is controlled by voltage to achieve dynamic control of surface plasmon resonance, resulting in tunable half-wave plates, quarter-wave plates, Polarizers, etc. However, there are three problems: first, the electrical regulation of graphene often requires a high bias voltage; second, the design with static broadband response has a small dynamic frequency range of electrical regulation, while the design with static narrowband response, The dynamic frequency range of electrical regulation is wide, and it cannot take into account the large static bandwidth and the large dynamic bandwidth. Third, due to the loss of metal and graphene itself, the work efficiency is very low. Therefore, the present invention proposes to combine graphene and dielectric metasurface to realize the function of orthogonal polarization transformation, which not only reduces the material loss, but also can adjust the dynamic bandwidth in a wide range by using a lower bias voltage, which is suitable for terahertz spectrum, Systems such as imaging provide practical polarization conversion devices.

发明内容SUMMARY OF THE INVENTION

发明目的:本发明提出一种结构紧凑的基于多层石墨烯-介质复合超表面的反射式宽带可调谐偏振转换的解决方法。Purpose of the invention: The present invention proposes a solution method for a reflective broadband tunable polarization conversion based on a multi-layer graphene-dielectric composite metasurface with a compact structure.

本发明基于多层石墨烯-介质复合超表面的反射式宽带可调谐偏振转换器,其特征在于该器件包括三层结构,上层为高折射率介质超表面阵列(1),中间为石墨烯-电极层(2),下层为低折射率基底(3),5-层石墨烯薄膜(4)和(6)分别置于介质间隔薄层(5)的两侧,用于施加偏置电压结构(7),(4)(5)(6)(7)共同构成中间层(2)。The present invention is a reflective broadband tunable polarization converter based on a multilayer graphene-dielectric composite metasurface, which is characterized in that the device comprises a three-layer structure, the upper layer is a high-refractive-index dielectric metasurface array (1), and the middle is a graphene- The electrode layer (2), the lower layer is a low refractive index substrate (3), and the 5-layer graphene films (4) and (6) are respectively placed on both sides of the dielectric spacer thin layer (5) for applying a bias voltage structure (7), (4) (5) (6) (7) together constitute the intermediate layer (2).

本发明的目的是这样实现的:The object of the present invention is achieved in this way:

选取超表面单元的材料、结构、和几何尺寸,在石墨烯费米能级接近0 eV时,将正入射的线偏振光在多个频率点转化为正交偏振态,实现静态的多波段偏振变换。Selecting the material, structure, and geometric size of the metasurface unit, when the Fermi energy level of graphene is close to 0 eV, the normally incident linearly polarized light is converted into orthogonal polarization states at multiple frequency points to realize static multi-band polarization transform.

进一步的,本发明中所述的介质单元材料选择需要在工作频段折射率高且吸收系数小,例如适用于太赫兹波段的高阻硅材料。Further, the selection of the material of the dielectric unit described in the present invention requires high refractive index and low absorption coefficient in the working frequency band, for example, a high-resistance silicon material suitable for the terahertz band.

进一步的,本发明中所述的介质单元结构具有如矩形柱、非对称十字形柱和开口劈裂环柱等在长短轴的正交偏振方向上具有不同的电磁响应的各向异性结构,介质柱的长短轴与x、y轴成45o夹角,入射线偏振光的偏振方向沿着x或y轴。Further, the medium unit structure described in the present invention has anisotropic structures with different electromagnetic responses in the orthogonal polarization directions of the long and short axes, such as rectangular columns, asymmetric cross-shaped columns and split-split ring columns. The long and short axes of the column form an included angle of 45 ° with the x and y axes, and the polarization direction of the incident ray polarized light is along the x or y axis.

进一步的,本发明中所述的介质单元几何尺寸包括矩形柱的长L、宽S、高h1以及所在x-y平面的周期Λ,通过优化以上结构参数,使沿介质天线长短轴偏振的反射光在多个频率点实现相位差为180°,实现多波段的正交偏振转换。Further, the geometric dimensions of the dielectric unit described in the present invention include the length L, width S, height h 1 of the rectangular column and the period Λ of the xy plane where it is located. By optimizing the above structural parameters, the reflected light polarized along the long and short axes of the dielectric antenna is made. The phase difference is 180° at multiple frequency points, and the orthogonal polarization conversion of multiple bands is realized.

对上下石墨烯层(4)和(6)通过偏压装置(7)施加偏置电压,通过调节电导率控制反射波的相位,在不改变器件结构的前提下实现正交偏振变换的频移。A bias voltage is applied to the upper and lower graphene layers (4) and (6) through a bias device (7), and the phase of the reflected wave is controlled by adjusting the electrical conductivity, so as to realize the frequency shift of the orthogonal polarization conversion without changing the device structure .

继续增大偏置电压,直到频移完全覆盖多波段的频率间隙,实现正交偏振变换的极宽带动态调谐。Continue to increase the bias voltage until the frequency shift completely covers the frequency gap of the multi-band, and realize the extremely broadband dynamic tuning of orthogonal polarization conversion.

进一步的,本发明中的均匀介质薄层和低折射率基底材料为PMMA或SiO2等在太赫兹波段透明的介质材料。Further, the uniform dielectric thin layer and the low-refractive-index base material in the present invention are dielectric materials such as PMMA or SiO 2 that are transparent in the terahertz band.

进一步的,本发明中石墨烯所加偏置电压用来调节其载流子浓度,使石墨烯的费米能级在0-0.25 eV范围内连续改变,石墨烯层在费米能级为0 eV时对太赫兹波接近透明,逐渐过渡到0.25 eV时接近完美金属。Further, in the present invention, the bias voltage applied to graphene is used to adjust its carrier concentration, so that the Fermi level of graphene is continuously changed in the range of 0-0.25 eV, and the Fermi level of graphene layer is 0. It is nearly transparent to terahertz waves at eV, and gradually transitions to near-perfect metal at 0.25 eV.

本发明实现的正交偏振转换可在0.88 THz-1.81 THz的宽带范围内动态调谐,且保持85%以上的偏振转化效率,其中偏振转化效率的定义为正交线偏振态的功率与反射光总功率之比。The orthogonal polarization conversion realized by the invention can be dynamically tuned in the broadband range of 0.88 THz-1.81 THz, and the polarization conversion efficiency of more than 85% is maintained, wherein the polarization conversion efficiency is defined as the power of the orthogonal linear polarization state and the total reflected light. power ratio.

本发明的有益效果:本发明充分利用了介质超表面的结构双折射和丰富的电磁谐振模式,在多频段正交偏振变换的基础上,再通过调节石墨烯的电导率改变反射波的相位,从而动态移动多个离散工作频段,最终实现在极宽频率范围内的连续调谐,克服了以往偏振器件窄带宽、调谐范围有限等问题,且石墨烯层无图形,整体结构易于设计和加工,工作效率高,为太赫兹光学系统提供高效、宽带、高集成度的偏振转换器件。Beneficial effects of the present invention: the present invention makes full use of the structural birefringence of the medium metasurface and the abundant electromagnetic resonance modes, and on the basis of the multi-band orthogonal polarization transformation, the phase of the reflected wave is changed by adjusting the electrical conductivity of graphene, In this way, multiple discrete working frequency bands are dynamically moved, and continuous tuning in a very wide frequency range is finally realized, which overcomes the problems of narrow bandwidth and limited tuning range of previous polarizer devices, and the graphene layer has no pattern, and the overall structure is easy to design and process. High efficiency, providing efficient, broadband, and highly integrated polarization conversion devices for terahertz optical systems.

附图说明Description of drawings

图1是本发明实施例提供的石墨烯-介质复合超表面的结构和功能示意图;Fig. 1 is the structure and function schematic diagram of the graphene-dielectric composite metasurface provided in the embodiment of the present invention;

图2是本发明实施例的结构单元示意图;Fig. 2 is the structural unit schematic diagram of the embodiment of the present invention;

图3是本发明实施例中沿x轴偏振的反射光束在长短轴方向的相位差随频率和石墨烯费米能级的变化;Fig. 3 is the variation of the phase difference of the reflected beam polarized along the x-axis in the long and short axis directions with frequency and graphene Fermi level in the embodiment of the present invention;

图4是在图3中选取的一系列频率点处的偏振转换效率(左轴坐标系)以及与之对应的石墨烯费米能级(右轴坐标系)。Fig. 4 is the polarization conversion efficiency (left-axis coordinate system) and the corresponding graphene Fermi level (right-axis coordinate system) at a series of frequency points selected in Fig. 3 .

图5是在图3中选取的一系列频率点处对应的反射波强度。FIG. 5 is the corresponding reflected wave intensity at a series of frequency points selected in FIG. 3 .

图6是本发明实施例中不同费米能级石墨烯层的反射相位随频率的变化;Fig. 6 is the variation of the reflection phase of different Fermi level graphene layers with frequency in the embodiment of the present invention;

图中有:高折射率超表面阵列(1),石墨烯-电极层(2)(包括5-层石墨烯(4),介质薄层(5),5-层石墨烯(6),偏置电压控制装置(7)),低折射率基底(3)。In the picture: high refractive index metasurface array (1), graphene-electrode layer (2) (including 5-layer graphene (4), dielectric thin layer (5), 5-layer graphene (6), polarized Set up the voltage control device (7)) and the low refractive index substrate (3).

具体实施方式Detailed ways

以下结合附图对本发明的具体实施方式做进一步的说明。可以理解的是,此处所描述的具体实施例仅仅用于解释本发明,而非对本发明的限定。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下,所获得的所有其他实施例,都属于本发明保护的范围。The specific embodiments of the present invention will be further described below with reference to the accompanying drawings. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative work fall within the protection scope of the present invention.

基于多层石墨烯-介质复合超表面的反射式宽带可调谐偏振转换器,如图1所示,共包括三层结构,上层矩形硅柱超表面阵列层(1),中间石墨烯-电极层(2),下层玻璃基底层(3)。中间层(2)由上面5层石墨烯(4),均匀PMMA间隔薄层(5),和下面5-层石墨烯(6)构成,上下石墨烯层之间设有可控偏置电压装置(7)。A reflective broadband tunable polarization converter based on a multilayer graphene-dielectric composite metasurface, as shown in Figure 1, includes a three-layer structure, an upper rectangular silicon pillar metasurface array layer (1), and a middle graphene-electrode layer (2), the lower glass substrate layer (3). The middle layer (2) is composed of the upper 5-layer graphene (4), the uniform PMMA spaced thin layer (5), and the lower 5-layer graphene (6), and a controllable bias voltage device is arranged between the upper and lower graphene layers (7).

如图2所示的结构单元中,在石墨烯费米能级接近 0 eV时,通过参数扫描确定单元周期Λ为130 μm,硅柱厚度h1为37 μm,硅柱长度L为78 μm,硅柱宽度S为35 μm。In the structural unit shown in Figure 2, when the Fermi level of graphene is close to 0 eV, the unit period Λ is 130 μm, the thickness h 1 of the silicon pillar is 37 μm, and the length L of the silicon pillar is 78 μm through parameter scanning. The silicon pillar width S is 35 μm.

如图3所示,在石墨烯费米能级EF = 0.02eV时,此结构在0.92 THz, 1.05 THz 和1.32 THz三个频率点使沿硅柱长短轴偏振的反射光具有180°相位差。As shown in Figure 3, when the graphene Fermi level EF = 0.02eV , this structure makes the reflected light polarized along the long and short axes of the silicon column have a 180° phase difference at three frequency points of 0.92 THz, 1.05 THz and 1.32 THz .

上下石墨烯之间均匀PMMA间隔薄层的厚度t s 为0.1μm,根据费米能级E F 和偏置电压V g 间的近似关系

Figure 312856DEST_PATH_IMAGE003
,石墨烯费米能级在0 eV-0.25 eV的调控范 围内需要最高31V的偏置电压。其中,ɛ 0 ɛ r 为真空中的介电常数和PMMA的相对介电常数,eν f 为电荷量和费米速率(1.1×106 m/s)。 The thickness t s of the uniform PMMA spacer thin layer between the upper and lower graphene is 0.1 μm, according to the approximate relationship between the Fermi level EF and the bias voltage V g
Figure 312856DEST_PATH_IMAGE003
, the graphene Fermi level requires a bias voltage of up to 31 V in the regulated range of 0 eV-0.25 eV. Among them, ɛ 0 and ɛ r are the permittivity in vacuum and the relative permittivity of PMMA, e and ν f are the charge amount and Fermi rate (1.1×10 6 m/s).

图3为石墨烯费米能级从0到0.25 eV时,沿长短轴偏振的反射波相位差随频率的变化关系图,图中三条曲线对应相位差约为180°,曲线上的白点对应选取的一系列工作频率点,这些频率点分别位于三条曲线上,且均匀覆盖了0.88-1.81THz的频率范围。Figure 3 is a graph showing the phase difference of reflected waves polarized along the long and short axes as a function of frequency when the Fermi level of graphene is from 0 to 0.25 eV. The three curves in the figure correspond to a phase difference of about 180°, and the white dots on the curves correspond to A series of selected operating frequency points, these frequency points are respectively located on the three curves, and evenly cover the frequency range of 0.88-1.81THz.

相应地,图4为在图3选取的一系列频率点处x偏振反射光相对于y偏振入射光的偏振转换率PCR = |Rxy|2/|Rxy|2+|Ryy|2,其中Rxy和Ryy分别为x和y偏振反射光的反射系数,通过图中对应的费米能级的调控,在0.88-1.81 THz的频率范围内,偏振转换效率大于85%。Correspondingly, FIG. 4 shows the polarization conversion rate PCR of x-polarized reflected light relative to y-polarized incident light at a series of frequency points selected in FIG. 3 = |R xy | 2 /|R xy | 2 +|R yy | 2 , where R xy and R yy are the reflection coefficients of the x- and y-polarized reflected light, respectively. Through the adjustment of the corresponding Fermi level in the figure, the polarization conversion efficiency is greater than 85% in the frequency range of 0.88-1.81 THz.

相应地,随着石墨烯费米能级的调控,反射光的强度也发生改变,图5为在图3选取的一系列频率点处反射光相对于入射光的强度,在0.3至0.92间波动。Correspondingly, with the adjustment of the graphene Fermi level, the intensity of the reflected light also changes. Figure 5 shows the intensity of the reflected light relative to the incident light at a series of frequency points selected in Figure 3, which fluctuates between 0.3 and 0.92 .

图6为单独对石墨烯层反射相位的研究,当石墨烯费米能级为0 eV时,反射相位在0.8 THz为-157°,且随频率的增大而增大。随着费米能级的增大,石墨烯趋于完美金属,反射相位逐渐接近于-180°。由于不同费米能级的石墨烯反射相位的不同,导致发生正交偏振变换的三个频率点同时向高频移动,最终覆盖0.88-1.81 THz 的宽带频率范围。Figure 6 is a separate study of the reflection phase of the graphene layer. When the Fermi level of graphene is 0 eV, the reflection phase is -157° at 0.8 THz, and increases with the increase of frequency. As the Fermi level increases, graphene tends to be a perfect metal, and the reflection phase gradually approaches -180°. Due to the different reflection phases of graphene at different Fermi levels, the three frequency points that undergo orthogonal polarization transformation move to high frequencies at the same time, finally covering a broadband frequency range of 0.88-1.81 THz.

Claims (8)

1. A reflection-type broadband adjustable polarization converter based on a multi-layer graphene-medium composite super surface is characterized in that a polarization controller comprises a three-layer structure, wherein the upper layer is a high-refractive-index medium super surface array (1), the middle layer is a graphene-electrode layer (2), the lower layer is a low-refractive-index substrate (3), 5-layer graphene films (4) and (6) are respectively arranged on two sides of a uniform medium interval thin layer (5) to form a bias voltage structure (7), and the middle layer (2) is formed together.
2. The reflective broadband adjustable polarization converter based on the multilayer graphene-dielectric composite super surface according to claim 1, wherein the dielectric super surface is a two-dimensional dielectric cylinder antenna array with sub-wavelength periodic arrangement, and the selected material has a high refractive index and a small absorption coefficient in an operating frequency band, for example, a high-resistance silicon material suitable for terahertz waveband.
3. The reflective broadband tunable polarization converter based on the multilayer graphene-dielectric composite super-surface according to claim 1, wherein the dielectric units have anisotropic structures with different electromagnetic responses in the orthogonal directions of the long axis and the short axis, such as rectangular columns, asymmetric cross-shaped columns, split ring columns, and the like.
4. The reflective broadband tunable polarization converter based on the multilayer graphene-dielectric composite super surface as claimed in claim 1, wherein the reflected light polarized along the long and short axes of the antenna is 180 ° out of phase at a plurality of discrete frequency points by selecting a suitable antenna size under the condition that no voltage is applied to the graphene.
5. The reflective broadband tunable polarization converter based on the multilayer graphene-dielectric composite super surface as claimed in claim 1, wherein the polarization direction of the incident linearly polarized light forms 45 degrees with the long and short axes of the dielectric antenna as claimed in claim 3oAnd (4) an included angle.
6. The reflective broadband tunable polarization converter based on the multi-layer graphene-dielectric composite super surface of claim 1, wherein the uniform dielectric thin layer and the substrate material between the upper graphene layer and the lower graphene layer are PMMA or SiO2Is transparent in terahertz wavebandThe low refractive index dielectric material of (1).
7. The reflective broadband tunable polarization converter based on the multilayer graphene-dielectric composite super-surface as claimed in claim 1, wherein the bias voltage adjusts the carrier concentration of the graphene, so that the fermi level of the graphene is changed within a range of 0-0.25 eV.
8. The reflective broadband-adjustable polarization converter based on the multilayer graphene-dielectric composite super-surface according to claim 1, wherein a reflected wave propagation phase is dynamically compensated through voltage adjustment of graphene conductivity, so that discrete frequency points of orthogonal polarization conversion move in the same direction, and finally, an extremely wide dynamic frequency range is completely covered, and broadband-adjustable polarization conversion is realized.
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