阵列波导光栅波分复用/解复用器光谱响应效率的理论模型

基于单模光波导的本征模场分布，瑞利－索末菲衍射积分公式和天线原理的互易定理，给出耦合器中两个非接触平面光波导耦合特性的描述.基此，根据等光程差不等振幅多光束干涉的光场叠加原理，推导出新颖的阵列波导光栅波分复用/解复用器的光谱响应效率的解析函数表达式，这些表达式可为快速精确分析阵列波导光栅波分复用/解复用器的特性提供理论基础.同时,介绍了一个计算阵列波导光栅波分复用/解复用器特性的例子，给出其光谱响应度和信号通道串扰.

Theoretical Model of Spectral Response Efficiency of Arrayed Waveguide Grating Multi/demultiplexer

Based on the eigen mode field distribution of single mode waveguide, the Rayleigh- Sommerfeld diffraction integral formula and the reciprocal theorem of antenna theory, the coupling characteristic between two non-contact single mode planar waveguides in the coupler are presented. As the optical field superposition theorem of multiple beam interference with equal optical path difference and unequal amplitudes is engaged, the original analytic function expression of spectral response efficiency of arrayed waveguide grating multi/dernultiplexer is deduced. This expression affords the theoretical basis for analyzing the characteristics of arrayed waveguide grating multi/demultiplexer accurately and quickly. An example of computing the spectral responsivity and crosstalk of arrayed waveguide grating multi/demultiplexer is presented.