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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.
Based on the eigenmode field distribution of the single-mode optical waveguide, Rayleigh-Sommerfeld diffraction integral formula and the reciprocity theorem of the antenna principle, the coupling characteristics of two non-contact planar optical waveguides in the coupler are described. Based on this, Such as the principle of optical field superposition of multi-beam interference with unequal optical path difference amplitude, the analytic function expressions of the spectral response efficiency of the novel arrayed waveguide grating wavelength division multiplexer / demultiplexer are deduced. These expressions can be used for fast and accurate analysis Array waveguide grating wavelength division multiplexer / demultiplexer.Furthermore, an example of calculating the characteristics of arrayed waveguide grating wavelength division multiplexer / demultiplexer is given, and its spectral responsivity and signal channel crosstalk .