用电磁场算子理论求波导复合系统的本征值
Computation of the eigenvalue of compound waveguide system by electromagnetic operator theory
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摘要: 该文用并矢格林函数方法通过虚拟边界的电场和磁场的耦合求解波导复合结构的本征值，所采用的并矢格林函数没有奇异项，可以用标量格林函数来表示并进行计算，因此不仅可以计算横电与横磁模的基模和高次模式，还可以计算存在两个孪生模式的复合系统。该文同时还对经典场论中常用的一些定理，如面旋度定理进行了探讨。
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关键词:
- 并矢格林函数; 本征值; 面旋度定理
Abstract: The eigenvalues of compound waveguide system are solved by using the method of dyadic Greens function by matching the electric and magnetic field on a virtual boundary. As the chosen dyadic Greens function has no singularity and can be calculated by scalar Greens function, the method can be applied not only in the computation of dominant and higher modes for TE and TM waves, but also in the computation of compound system with twin modes, In addition, some theorems in classical field theory such as rotation theorem on surface are discussed in this paper. -
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