Abstract
A high-order compact two-dimensional finite-difference frequency-domain (2D FDFD) method is proposed for the analysis of the dispersion characteristics of waveguides. A surface impedance boundary condition (SIBC) for the high-order compact 2D FDFD method is also given to model lossy metal waveguides. Four transverse field components are involved in the final eigenequation. Numerical examples are given, which show that this high-order compact 2D FDFD method is more efficient than the low-order compact 2D FDFD method and has a less storage cost.
Highlights
IntroductionIt is very important to accurately and efficiently analyze the dispersion characteristics of waveguides
In practical engineering designs, it is very important to accurately and efficiently analyze the dispersion characteristics of waveguides
A compact 2D FDFD method was brought forward later in which only four transverse field components are involved in the final eigenequation [2]
Summary
It is very important to accurately and efficiently analyze the dispersion characteristics of waveguides. Unlike in two-dimensional finite-difference time-domain (2D FDTD) methods [3, 4], in 2D FDFD methods the complex propagation constant can be found at a given frequency directly and there is no need of the discrete Fourier transform. Another advantage of 2D FDFD methods is that the dispersion characteristics of several modes at a given frequency can be analyzed at the same time. The numerical results show that under the same accuracy, the number of the meshes in the high order compact 2D FDFD method is much less than in the low-order compact 2D FDFD method Both the computational time and the number of nonzero elements largely decrease in the former, and the burdens of computation and storage are reduced
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