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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2019-04-27
Flexible Compact High-Order FD-FD Algorithm for Computing Mode Fields of Microwave Waveguides with Regular and Reentrant Corners
By
Sin-Yuan Mu,

    Dr. Sin-Yuan Mu

    Institute of Electro-optical Engineering and Department of Photonics

    National Sun Yat-sen University

    Taiwan

    Homepage

Hung-Wen Chang

    Prof. Hung-Wen Chang

    Department of Photonics

    National Sun Yat-sen University

    Taiwan, ROC

    Homepage

Progress In Electromagnetics Research C, Vol. 92, 151-164, 2019
doi:10.2528/PIERC19021802 | Google Scholar

Abstract
We present a highly accurate frequency-domain finite-difference algorithm for computing mode field solutions of microwave waveguides with regular and reentrant corners. Based on FBS (Fourier-Bessel series)-derived 3-by-3 compact coefficients, our method allows for a flexible layout of the 2-D uniform grids so that distance from the waveguide boundaries to the adjacent unknowns can be arbitrary. Fourth to sixth-order convergent rates of the proposed coefficients are verified by resonance-frequency error analysis for rectangular microwave waveguides for both TE/TM polarizations. We also study the first four Neumann/Dirichlet eigenvalues of the L-shaped MW-WGs calculated by the flexible scheme, and the Neumann results are reported for the first time. Although our results achieve sixth-order accuracy for analytic modes, the order of accuracy is about one and a third for both fundamental TE and TM modes due to singularity around the reentrant corner.
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Citation
Sin-Yuan Mu, and Hung-Wen Chang, "Flexible Compact High-Order FD-FD Algorithm for Computing Mode Fields of Microwave Waveguides with Regular and Reentrant Corners," Progress In Electromagnetics Research C, Vol. 92, 151-164, 2019.
doi:10.2528/PIERC19021802
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