中文摘要：

在计算机上采用MATLAB编程进行理想透镜和负折射三棱镜的光路仿真,分析光在光子晶体中的成像条件,重点计算一种典型的二维光子晶体：负折射三棱镜光子晶体的色散特性。结果发现,光子晶体负折射成像的条件是晶体两侧的折射率与晶体折射率必须绝对值相等,晶体的厚度必须大于光源到晶体的距离;光线在进入负折射率光子晶体三棱镜时,会存在一个最大偏向角,负折射三棱镜光子晶体可以通过调节光子晶体的结构参数来改变其色散特性。因此,在实际应用中可以利用光子晶体的色散特性,通过调节相关的结构参数来对分光仪和波分复用/解复用器等光学器件进行相关的性能优化。

英文摘要：

By simulating the ideal len and the optical path of negative refection prism by MATLAB software,the paper analyses the imaging condition,and especially discusses the dispersion characteristics of a typical two dimensional photonic crystal——negative refection prism.The result shows the imaging condition is that the refractive index on the part of both sides of the crystal must be absolutely equal to the crystal refractive index,and the thickness of crystal must greater than the distance from illuminant to crystal.When light travels through the negative refection photonic crystal,there exists a maximum deviation,and the characteristics of photonic crystal prism can be changed by adjusting the structure parameter.Owing to this dispersion character of photonic crystal,we can optimize the optical device performance such as spectrometer and wavelength division multiplexer by regulating their related structure parameter.