摘要：光子晶体基于对介电常数、磁导率周期性调制实现电磁波的调控与吸收。我们针对光子晶体的电磁波传输特性做了相关研究。首先,通过平面波展开法计算了介质/磁性光子晶体能带结构。其次，通过对磁性光子晶体自准直现象分析，通过打破基元的空间对称性，构建半圆基元性磁性光子晶体，实现了非互易性传输，研究了磁性光子晶体在非互易的信号处理中应用；引入磁面激元共振和自旋波共振，通过调节外部静态磁场调控单向传输的工作频率范围，实现了电磁波单向传输。此外，设计三角形点阵结构可实现两束自准直波束的相互干涉，实现波束的定向辐射效应。还设计一种基于平行四边形基元的新型介质型光子晶体，提出基于逐渐倾斜无弯曲等频曲线的波分解复用器，实现了不同频率条件下高斯波束同一信道入射沿不同信道传输。91259

毕业论文关键词：光子晶体，自准直，非互易，定向辐射，波分解复用器，

Abstract: Photonic crystal actualize modulation and absorption of electromagnetic wave on the basis of periodic modulation of dielectric constant and magnetic permeability。  Relevant research on electromagnetic wave propagation characteristics of photonic crystal has been done。 Firstly, calculated dielectric / magnetic photonic crystal’s band structure by means of  plane wave expansion。 Secondly, by means of analysis based on the self-collimation phenomenon of magnetic photonic crystal and breaking primitives’ space symmetry , structured semi-circular elementary and magnetic photonic crystals, achieved nonreciprocal transmission, studied magnetic photonic crystals’ application in nonreciprocal signal processing; Introduced the magnetic surface plasmon resonance and spin wave resonance, achieved single-direction transmission of electromagnetic wave by controlling single-direction transmission’s operating frequency range through adjusting external static magnetic field。 In addition, the triangular lattice structure design can be used to realize the mutual interference between two self-collimation beams and realize the directional radiation effect。 Also designed a new dielectric photonic crystal based on parallelogram primitive, tilted novel wavelength-pision demultiplexer based on gradually inclined and no bending equal-frequency curve。 Achieved that the same channel of Gauss beam transmitted along different channel under the condition of different frequencies。

Keywords: Photonic crystals, Self-collimation, Nonreciprocal Transmission, Directional Radiator, Wave multiplexer

目录

1绪论 4

1。1论文研究背景及意义 4

1。2光子晶体的研究进展 4

1。3光子晶体的特性与应用 5

1。4磁性光子晶体研究 7

1。5光子晶体自准直效应 9

1。6本文的主要工作与结构 10

2光子晶体的基础理论与计算 11

2。1光子晶体周期结构的表述 11

2。1。1布拉菲晶格与基元 12

2。1。2倒格子 12

2。1。3第一布里渊区 14

2。2光子晶体的波动方程 14

2。3介质型光子晶体平面波展开方法 16

2。4磁性光子晶体平面波展开方法 19

3磁性光子晶体中非互易性自准直传输特性