Computation of the eigenvalue of compound waveguide system by electromagnetic operator theory
用电磁场算子理论求波导复合系统的本征值

The eigenvalues of compound waveguide system are solved by using the method of dyadic Green's function by matching the electric and magnetic field on a virtual boundary. As the chosen dyadic Green's function has no singularity and can be calculated by scalar Green's 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.