Abstract

An algorithm is proposed for implementation of the matrix method for the problem of the incidence of two counterpropagating waves on a stepped multilayer waveguide structure. An algorithm for calculation of the resulting matrix in which the next matrix elements are sequentially obtained from the previous ones is based on the equivalent circuit of a multilayer structure in the form of a two-port circuit. The application of the proposed algorithm in the problem of the wave reflection from and propagation through a linearly increasing barrier with variable length is considered. The dependences of the reflection and transmission coefficients on the barrier length are obtained, and their monotonic or oscillating type determined by the relationship of the wavelength and the geometrical parameters of the structure is revealed. The interference nature of the phenomena under consideration is noted, and recommendations for solving of practical problems are proposed.

中文翻译：

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计算两个反向传播波在多层结构上的入射反射和透射系数的矩阵算法

摘要

针对两个反向传播波在阶梯式多层波导结构上的入射问题，提出了一种实现矩阵法的算法。一种用于计算结果矩阵的算法，其中从先前的矩阵元素顺序地获得下一个矩阵元素，其基于双端口电路形式的多层结构的等效电路。考虑了所提出的算法在波从线性增加的可变长度屏障的反射和传播问题中的应用。得到了反射和透射系数对势垒长度的依赖关系，揭示了由波长与结构几何参数的关系决定的单调或振荡类型。