A Compact 2-D Finite-Difference Frequency-Domain Method for Dispersion Characteristics Analysis of Trapezoidal-Ridge Waveguides |
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| Authors: | Jia-Xiao Niu Qi Zhang Xi-Lang Zhou and Zhi-Yong Shan |
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| Institution: | (1) Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, 200240, PR China |
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| Abstract: | A compact two-dimension (2-D) finite-difference frequency-domain (FDFD) method is used to analyze the dispersion characteristics
of single and double trapezoidal-ridge waveguides. The general 2-D FDFD formulation under orthogonal curvilinear coordinate
system is derived from the difference form of Maxwell’s equations, and modified difference formulas at the trapezoidal-ridge
section are built. After implementing the boundary conditions, the 2-D FDFD formulation is concluded as an eigen equation
and then constructed by a highly sparse matrix. By solving the matrix-eigen equation, the dispersion characteristics of the
ridged waveguides can be obtained. Computed results are in good agreements with the previously published and simulated ones,
which prove the correctness of the method. |
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| Keywords: | 2-D FDFD Trapezoidal-ridge waveguide Dispersion characteristics |
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