WO2016138775A1 - 一种基于电光衍射的定向分波器及波分复用系统 - Google Patents

一种基于电光衍射的定向分波器及波分复用系统 Download PDF

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WO2016138775A1
WO2016138775A1 PCT/CN2015/094600 CN2015094600W WO2016138775A1 WO 2016138775 A1 WO2016138775 A1 WO 2016138775A1 CN 2015094600 W CN2015094600 W CN 2015094600W WO 2016138775 A1 WO2016138775 A1 WO 2016138775A1
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electro
optical
diffraction
optical superlattice
superlattice
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郑国梁
邓想全
徐世祥
吴庆阳
欧阳征标
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Shenzhen University
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    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL 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
    • G02F1/00—Devices 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
    • G02F1/01—Devices 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 
    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL 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
    • G02F1/00—Devices 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
    • G02F1/29—Devices 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 position or the direction of light beams, i.e. deflection
    • G02F1/31—Digital deflection, i.e. optical switching
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
    • G02B6/24—Coupling light guides
    • G02B6/26—Optical coupling means
    • G02B6/28—Optical coupling means having data bus means, i.e. plural waveguides interconnected and providing an inherently bidirectional system by mixing and splitting signals
    • G02B6/293—Optical coupling means having data bus means, i.e. plural waveguides interconnected and providing an inherently bidirectional system by mixing and splitting signals with wavelength selective means
    • G02B6/29304—Optical coupling means having data bus means, i.e. plural waveguides interconnected and providing an inherently bidirectional system by mixing and splitting signals with wavelength selective means operating by diffraction, e.g. grating
    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL 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
    • G02F2203/00—Function characteristic
    • G02F2203/58—Multi-wavelength, e.g. operation of the device at a plurality of wavelengths

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  • the invention belongs to the field of optical communication technologies, and in particular relates to a directional demultiplexer and a wavelength division multiplexing system based on electro-optical diffraction.
  • Optical communication refers to a communication method in which light waves are used as carriers.
  • a wavelength division multiplexing technology that is, a technology of simultaneously transmitting a plurality of wavelength signals on one communication channel is generally used.
  • the combiner combines the optical waves of the n channels into one optical fiber for transmission; at the receiving end, the splitter separates the optical waves of the respective wavelengths in the composite light transmitted through the optical fiber to enter the respective channels, thereby realizing the wave.
  • Sub-multiplexing function At the transmitting end, the combiner combines the optical waves of the n channels into one optical fiber for transmission; at the receiving end, the splitter separates the optical waves of the respective wavelengths in the composite light transmitted through the optical fiber to enter the respective channels, thereby realizing the wave. Sub-multiplexing function.
  • the prior art provides a splitter that has a single function and only has the function of guiding optical waves of different wavelengths onto a specific channel, that is, only has a splitting function, and if it is necessary to modulate the intensity of the separated optical waves, it is also required to be separate. Modulation device implementation.
  • An object of the present invention is to provide a directional demultiplexer based on electro-optical diffraction, which aims to solve the problem that the demultiplexer provided by the prior art only has a splitting function and does not have the function of modulating the intensity of the separated light wave. That is, the problem of single function.
  • the embodiment of the present invention is implemented by a directional demultiplexer based on electro-optic diffraction, and the directional demultiplexer based on electro-optic diffraction comprises:
  • An optical superlattice with a lateral electrode for outputting light waves of the input complex color light satisfying the quasi-phase matching condition of electro-optical Bragg diffraction to a specific direction under the action of an external electric field;
  • a polarizing plate for blocking an unscattered residual component of the light wave output by the optical superlattice.
  • Another object of the embodiments of the present invention is to provide a wavelength division multiplexing system including a combiner disposed at a transmitting end, and a splitter disposed at the receiving end, the splitter being a directional splitting based on electro-optic diffraction
  • the directional demultiplexer based on electro-optic diffraction comprises:
  • An optical superlattice with a lateral electrode for outputting light waves of the input complex color light satisfying the quasi-phase matching condition of electro-optical Bragg diffraction to a specific direction under the action of an external electric field;
  • a polarizing plate for blocking an unscattered residual component of the light wave output by the optical superlattice.
  • the electro-optic diffraction-based directional demultiplexer and the wavelength division multiplexing system provided by the invention use the optical superlattice with the lateral electrodes to perform wavelength selection and directional distribution on the complex color light transmitted through the transmission medium, which can not only different wavelengths
  • the light wave is guided to a specific channel, and the intensity of the separated light wave can be modulated by adjusting the size of the external electric field, that is, the splitting and modulation functions are integrated on one wafer, and the structure is simple, cost-saving, and response speed. It can reach sub-nanoseconds and meet the fast response requirements of fiber-optic communication.
  • FIG. 1 is a schematic diagram of a unidirectional wavelength division multiplexing system provided by the prior art
  • FIG. 2 is a structural diagram of a directional demultiplexer based on electro-optical diffraction provided by the present invention
  • 3 is a schematic diagram of vector synthesis of quasi-phase matching conditions of electro-optical Bragg diffraction
  • the optical superlattice is a hexagonal-polarized two-dimensional optical superlattice, and the incident light is linearly polarized light polarized in the Z direction of wavelengths ⁇ 1 and ⁇ 2, the incident light is electro-optically generated in the optical superlattice.
  • the directional demultiplexer based on electro-optical diffraction proposed by the present invention realizes the splitting and light modulating functions by using an optical superlattice with a lateral electrode.
  • Fig. 2 shows the structure of an electro-optic diffraction-based directional demultiplexer provided by the present invention, and only parts related to the present invention are shown for convenience of explanation.
  • the electro-optic diffraction-based directional demultiplexer provided by the present invention comprises: an optical superlattice 1 with a lateral electrode for reacting the input complex color light to the quasi-phase matching condition of the electro-optical Bragg diffraction under the action of the external electric field V The light wave is scattered to a specific direction; the polarizing plate 2 is for blocking the unscattered residual component of the light wave output from the optical superlattice 1.
  • the complex color light refers to a light wave containing a plurality of wavelengths transmitted via a transmission medium (e.g., an optical fiber or the like).
  • a transmission medium e.g., an optical fiber or the like.
  • the direction of the external electric field applied to the lateral electrode of the optical superlattice 1 is perpendicular to the direction of transmission of the complex color light.
  • the transmission direction of the complex color light is the x-axis direction of the optical superlattice 1.
  • the optical superlattice 1 is preferably a two-dimensional optical superlattice, and is preferably a hexagonal-polarized two-dimensional optical superlattice.
  • Bragg optical diffraction is the polarization induced by the electro-optical effect when light waves propagate through the medium. In some directions that satisfy the Bragg's law, light diffraction with the same frequency but different polarization as the incident light appears.
  • FIG. 3 shows a quasi-phase matching condition of electro-optical Bragg diffraction, wherein Is a diffracted light wave vector output through the optical superlattice 1, Is the corresponding incident light wave vector of the optical superlattice 1, Is the inverted vector of the material of the optical superlattice 1, and has It can be seen that the quasi-phase matching condition is strict vector matching, incident light wave vector Diffracted light wave vector And the inverse of the material Must be completely closed. Strict phase matching determines that effective diffracted light can only be observed in a particular direction, while different wavelengths of incident light have different requirements for inverted vectors, so the direction of diffracted light propagation is also different. If a certain wavelength of light can find a suitable inverted vector in the optical superlattice 1 to satisfy the quasi-phase matching condition, observable diffracted light can be observed in a certain direction, and its intensity can be obtained by an external electric field. control.
  • the optical superlattice 1 is a hexagonal-polarized two-dimensional optical superlattice
  • the incident light is linearly polarized light polarized in the Z direction of wavelengths ⁇ 1 and ⁇ 2
  • their waves in the optical superlattice 1 Separate with Inverted Phase matching of incident light participating in wavelength ⁇ 1, inverted vector
  • the phase of the incident light of the wavelength ⁇ 2 is matched, and the diffracted light wave of the incident light of the wavelength ⁇ 1 is output through the optical superlattice 1
  • the diffracted light wave of the incident light of wavelength ⁇ 2 output through the optical superlattice 1 is Then, as shown in FIG. 4, a quasi-phase matching process in which incident light is electro-optic Bragg diffraction in the optical superlattice 1 is shown.
  • the quasi-phase matching condition is a strict vector matching
  • the incident optical wave vector is known Diffractive light wave vector
  • the inverted vector of the material can be obtained by the quasi-phase matching condition. Thereby determining the distribution of the inverted lattice. Then, the lattice distribution of the real space can be obtained by the Fourier transform, thereby determining the optical superlattice 1 polarization scheme.
  • the optical superlattice 1 can not only achieve wavelength-directed distribution, but also adjust the intensity of the diffracted light by changing the magnitude of the external electric field. Assuming that the intensity of the diffracted light in one direction of the optical superlattice 1 scattering output is I diffraction , then:
  • L is the effective crystal length of the optical superlattice 1
  • ⁇ q is the electro-optical coupling coefficient and satisfies:
  • k 0 is the wave vector of the light wave in vacuum
  • n 1 is the refractive index of the incident light
  • n 2 is the refractive index of the diffracted light
  • E 0 is the external electric field
  • G mn is the Fourier transform coefficient
  • r eff1 is effective Electro-optic coefficient and meets:
  • ⁇ jj and ⁇ kk are the dielectric constants of the material
  • r jkl is the electro-optic coefficient of the optical superlattice
  • a j is the j-th component of the polarization direction vector of the incident light
  • b k is the polarization direction vector of the diffracted light.
  • the kth component, c l is the lth component of the outer electric field direction vector.
  • the dielectric constants ⁇ jj , ⁇ kk of the material and the electro-optic coefficient r jkl of the optical superlattice 1 can be obtained by looking up the table.
  • the invention also provides a wavelength division multiplexing system, comprising a combiner disposed at a transmitting end, and a splitter disposed at the receiving end, the splitter being a directional splitter based on electro-optic diffraction as described above, not repeated .
  • the directional demultiplexer and the wavelength division multiplexing system based on electro-optical diffraction use the optical superlattice with the lateral electrodes to perform wavelength selection and directional distribution on the complex color light transmitted through the transmission medium, not only It can guide the light waves of different wavelengths to a specific channel, and can also adjust the intensity of the separated light wave by adjusting the size of the external electric field, that is, the splitting and modulation functions are integrated on one wafer, and the structure is simple and economical.
  • the cost and response speed can reach sub-nanoseconds, which can meet the fast response requirements of fiber-optic communication.

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  • Physics & Mathematics (AREA)
  • Nonlinear Science (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Optical Modulation, Optical Deflection, Nonlinear Optics, Optical Demodulation, Optical Logic Elements (AREA)

Abstract

提供了一种基于电光衍射的定向分波器及波分复用系统。该定向分波器及波分复用系统是利用附有横向电极的光学超晶格（1）对经传输介质传输的复色光进行波长选择和定向分配，不仅能将不同波长的光波引导到特定信道上，还可通过对外电场的大小的调节，实现对分离后的光波的强度的调制，即将分波和调制功能集成在一片晶片上完成，结构简单，节约成本，且响应速度可以达到亚纳秒，能够满足光纤通信的快速响应要求。

Description

一种基于电光衍射的定向分波器及波分复用系统 技术领域
本发明属于光通信技术领域，尤其涉及一种基于电光衍射的定向分波器及波分复用系统。
背景技术
光通信是指以光波为载波的一种通信方式。在光通信技术中，为满足带宽业务对带宽资源的需求，一般采用波分复用技术，即在一条通信信道上同时传输多个波长信号的技术。
如图1示出了现有技术提供的单向的波分复用系统的原理。在发送端，合波器将n个信道的光波合并在一条光纤中传输；在接收端，分波器将经光纤传输的复合光中各波长的光波分开，以进入各自的信道，从而实现波分复用功能。
但现有技术提供的分波器功能单一，只具有将不同波长的光波引导到特定信道上的功能，即只具有分波功能，若需要对分离后的光波的强度进行调制，则还需单独的调制器件实现。
发明内容
本发明实施例的目的在于提供一种基于电光衍射的定向分波器，旨在解决现有技术提供的分波器只具有分波功能，不具有对分离后的光波的强度进行调制的功能，即功能单一的问题。
本发明实施例是这样实现的，一种基于电光衍射的定向分波器，所述基于电光衍射的定向分波器包括：
附有横向电极的光学超晶格，用于在外电场作用下，将输入的复色光中、满足电光布拉格衍射的准相位匹配条件的光波散射输出到特定方向上；
偏振片，用于阻挡所述光学超晶格输出的光波中未经散射的残余分量。
本发明实施例的另一目的在于提供一种波分复用系统，包括设置在发送端的合波器，以及设置在接收端的分波器，所述分波器是一基于电光衍射的定向分波器，所述基于电光衍射的定向分波器包括：
附有横向电极的光学超晶格，用于在外电场作用下，将输入的复色光中、满足电光布拉格衍射的准相位匹配条件的光波散射输出到特定方向上；
偏振片，用于阻挡所述光学超晶格输出的光波中未经散射的残余分量。
本发明提供的基于电光衍射的定向分波器及波分复用系统是利用附有横向电极的光学超晶格对经传输介质传输的复色光进行波长选择和定向分配，不仅能将不同波长的光波引导到特定信道上，还可通过对外电场的大小的调节，实现对分离后的光波的强度的调制，即将分波和调制功能集成在一片晶片上完成，结构简单，节约成本，且响应速度可以达到亚纳秒，能够满足光纤通信的快速响应要求。
附图说明
图1是现有技术提供的单向的波分复用系统的原理图；
图2是本发明提供的基于电光衍射的定向分波器的结构图；
图3是电光布拉格衍射的准相位匹配条件的矢量合成示意图；
图4本发明中，当光学超晶格为六角极化二维光学超晶格、入射光是波长为λ1和λ2的Z方向偏振的线偏振光时，入射光在光学超晶格中发生电光布拉格衍射的准相位匹配过程的示意图。
具体实施方式
为了使本发明的目的、技术方案及优点更加清楚明白，以下结合附图及实施例，对本发明进行进一步详细说明。应当理解，此处所描述的具体实施例仅仅用以解释本发明，并不用于限定本发明。
针对现有技术存在的问题，本发明提出的基于电光衍射的定向分波器是利用附有横向电极的光学超晶格实现分波及光调制功能。
图2示出了本发明提供的基于电光衍射的定向分波器的结构，为了便于说明，仅示出了与本发明相关的部分。
本发明提供的基于电光衍射的定向分波器包括：附有横向电极的光学超晶格1，用于在外电场V作用下，将输入的复色光中、满足电光布拉格衍射的准相位匹配条件的光波散射输出到特定方向上；偏振片2，用于阻挡光学超晶格1输出的光波中未经散射的残余分量。
本发明中，复色光是指经由传输介质(如：光纤等)传输的、含有多种波长的光波。
本发明中，加载在光学超晶格1的横向电极上的外电场的方向与复色光的传输方向垂直。例如，若外电场的方向为光学超晶格1的y轴方向，则复色光的传输方向为光学超晶格1的x轴方向。
本发明中，光学超晶格1优选是二维光学超晶格，且优选为六角极化二维光学超晶格。
以下说明本发明提供的基于电光衍射的定向分波器中，光学超晶格1实现分波的理论基础：
在外电场作用下，复色光在光学超晶格1中发生布拉格电光衍射，从而在光学超晶格1输出侧的一些特定方向上可以接收到不同波长的衍射光。布拉格电光衍射是光波在介质中传播时由于电光效应诱导极化，在某些满足布拉格定律的方向上会出现与入射光同频率但偏振不同的光衍射。
如图3示出了电光布拉格衍射的准相位匹配条件，其中，
Figure PCTCN2015094600-appb-000001
是经光学超晶格1输出的衍射光波矢，
Figure PCTCN2015094600-appb-000002
是光学超晶格1的相应入射光波矢，
Figure PCTCN2015094600-appb-000003
是光学超晶格1的材料的倒格矢，且有
Figure PCTCN2015094600-appb-000004
可见，该准相位匹配条件是严格的矢量匹配，入射光波矢
Figure PCTCN2015094600-appb-000005
衍射光波矢
Figure PCTCN2015094600-appb-000006
和材料的倒格矢
Figure PCTCN2015094600-appb-000007
必须完全闭合。而严格的相位匹配决定了只有在特定的方向上才可观测到有效的衍射光，而不同的波 长的入射光对倒格矢的要求是不一样的，因此衍射光的传播方向也不同。若某一波长的光在光学超晶格1中能够找到合适的倒格矢使之满足准相位匹配条件，则可以在某一特定方向上观察到可观的衍射光，而且其强度可以由外电场控制。
例如，当光学超晶格1为六角极化二维光学超晶格时，若入射光是波长为λ1和λ2的Z方向偏振的线偏振光，它们在光学超晶格1中的波矢分别是
Figure PCTCN2015094600-appb-000008
和
Figure PCTCN2015094600-appb-000009
倒格矢
Figure PCTCN2015094600-appb-000010
参与波长为λ1的入射光的相位匹配，倒格矢
Figure PCTCN2015094600-appb-000011
参与波长为λ2的入射光的相位匹配，波长为λ1的入射光经光学超晶格1输出的衍射光波矢为
Figure PCTCN2015094600-appb-000012
波长为λ2的入射光经光学超晶格1输出的衍射光波矢为
Figure PCTCN2015094600-appb-000013
则如图4示出了此时入射光在光学超晶格1中发生电光布拉格衍射的准相位匹配过程。
在确定光学超晶格1极化方案时，由于该准相位匹配条件是严格的矢量匹配，因此，在已知入射光波矢
Figure PCTCN2015094600-appb-000014
和衍射光波矢
Figure PCTCN2015094600-appb-000015
的前提下，可通过准相位匹配条件得到材料的倒格矢
Figure PCTCN2015094600-appb-000016
从而确定倒格矢的分布情况。之后，通过傅里叶变换可求得真实空间的格子分布，从而确定光学超晶格1极化方案。
本发明中，光学超晶格1不仅可实现波长定向分配，还可通过改变外电场的大小来调节衍射光的光强。假设经光学超晶格1散射输出的某一方向上的衍射光的光强为Idiffraction，则有：
Idiffraction＝sin2(κqL)   (1)
其中，L为光学超晶格1的有效晶体长度，κq为电光耦合系数且满足：
Figure PCTCN2015094600-appb-000017
其中，k0为光波在真空中的波矢量，n1为入射光的折射率，n2为衍射光的折射率，E0为外电场，Gmn为傅里叶变换系数，reff1为有效电光系数且满足：
Figure PCTCN2015094600-appb-000018
其中，εjj和εkk为材料的介电常数，rjkl为所述光学超晶格的电光系数，aj为 入射光偏振方向矢量的第j个分量，bk为衍射光偏振方向矢量的第k个分量，cl为所述外电场方向矢量的第l个分量。材料的介电常数εjj、εkk和光学超晶格1的电光系数rjkl均可通过查表方式获得。
结合式(1)和式(2)可见，经光学超晶格1的衍射光的光强与外电场E0的大小成正比，而与衍射方向的关系体现在傅里叶变换系数Gmn中。因而，通过改变外电场E0的大小，即可改变某一方向上的衍射光的强度。
进一步地，为了均衡各方向的转换效率，根据式(1)，当κqL＝0.5π时，入射光将全部转换为衍射光，则可得到此时κq的值，再结合式(2)，可得到外电场E0的值。
本发明还提供了一种波分复用系统，包括设置在发送端的合波器，以及设置在接收端的分波器，分波器是如上所述的基于电光衍射的定向分波器，不赘述。
综上所述，本发明提供的基于电光衍射的定向分波器及波分复用系统是利用附有横向电极的光学超晶格对经传输介质传输的复色光进行波长选择和定向分配，不仅能将不同波长的光波引导到特定信道上，还可通过对外电场的大小的调节，实现对分离后的光波的强度的调制，即将分波和调制功能集成在一片晶片上完成，结构简单，节约成本，且响应速度可以达到亚纳秒，能够满足光纤通信的快速响应要求。
以上所述仅为本发明的较佳实施例而已，并不用以限制本发明，凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等，均应包含在本发明的保护范围之内。

Claims (10)

  1. 一种基于电光衍射的定向分波器，其特征在于，所述基于电光衍射的定向分波器包括：
    附有横向电极的光学超晶格，用于在外电场作用下，将输入的复色光中、满足电光布拉格衍射的准相位匹配条件的光波散射输出到特定方向上；
    偏振片，用于阻挡所述光学超晶格输出的光波中未经散射的残余分量。
  2. 如权利要求1所述的基于电光衍射的定向分波器，其特征在于，若经所述光学超晶格散射输出的某一方向上的衍射光的光强为Idiffraction，则：
    Idiffraction＝sin2(κqL)
    其中，L为所述光学超晶格的有效晶体长度，κq为电光耦合系数且满足：
    Figure PCTCN2015094600-appb-100001
    其中，k0为光波在真空中的波矢量，n1为入射光的折射率，n2为衍射光的折射率，E0为所述外电场的电场强度，Gmn为傅里叶变换系数，reff1为有效电光系数且满足：
    Figure PCTCN2015094600-appb-100002
    其中，εjj和εkk为材料的介电常数，rjkl为所述光学超晶格的电光系数，aj为入射光偏振方向矢量的第j个分量，bk为衍射光偏振方向矢量的第k个分量，cl为所述外电场方向矢量的第l个分量。
  3. 如权利要求2所述的基于电光衍射的定向分波器，其特征在于，所述电光耦合系数与所述有效晶体长度的乘积为kπ+0.5π。
  4. 如权利要求1至3任一项所述的基于电光衍射的定向分波器，其特征在于，所述光学超晶格是二维光学超晶格。
  5. 如权利要求1至3任一项所述的基于电光衍射的定向分波器，其特征在于，所述光学超晶格是六角极化二维光学超晶格。
  6. 一种波分复用系统，包括设置在发送端的合波器，以及设置在接收端的分波器，其特征在于，所述分波器是一基于电光衍射的定向分波器，所述基于电光衍射的定向分波器包括：
    附有横向电极的光学超晶格，用于在外电场作用下，将输入的复色光中、满足电光布拉格衍射的准相位匹配条件的光波散射输出到特定方向上；
    偏振片，用于阻挡所述光学超晶格输出的光波中未经散射的残余分量。
  7. 如权利要求6所述的波分复用系统，其特征在于，若经所述光学超晶格散射输出的某一方向上的衍射光的光强为Idiffraction，则：
    Idiffraction＝sin2(κqL)
    其中，L为所述光学超晶格的有效晶体长度，κq为电光耦合系数且满足：
    Figure PCTCN2015094600-appb-100003
    其中，k0为光波在真空中的波矢量，n1为入射光的折射率，n2为衍射光的折射率，E0为所述外电场的电场强度，Gmn为傅里叶变换系数，reff1为有效电光系数且满足：
    Figure PCTCN2015094600-appb-100004
    其中，εjj和εkk为材料的介电常数，rjkl为所述光学超晶格的电光系数，aj为入射光偏振方向矢量的第j个分量，bk为衍射光偏振方向矢量的第k个分量，cl为所述外电场方向矢量的第l个分量。
  8. 如权利要求7所述的波分复用系统，其特征在于，所述电光耦合系数与所述有效晶体长度的乘积为kπ+0.5π。
  9. 如权利要求6至8任一项所述的波分复用系统，其特征在于，所述光学超晶格是二维光学超晶格。
  10. 如权利要求6至8任一项所述的波分复用系统，其特征在于，所述光学超晶格是六角极化二维光学超晶格。
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