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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2009-09-16
Dispersion Analysis of FDTD Schemes for Doubly Lossy Media
By
Ding Yu Heh,

    Dr. Ding Yu Heh

    School of Electrical and Electronic Engineering

    Nanyang Technological University

    Singapore

    Homepage

Eng Leong Tan

    Dr. Eng Leong Tan

    School of Electrical and Electronic Engineering

    Nanyang Technological University

    Singapore

    Homepage

Progress In Electromagnetics Research B, Vol. 17, 327-342, 2009
doi:10.2528/PIERB09082802 | Google Scholar

Abstract
This paper presents the 3-D dispersion analysis of finite-difference time-domain (FDTD) schemes for doubly lossy media, where both electric and magnetic conductivities are nonzero. Among the FDTD schemes presented are time-average (TA), time-forward (TF), time-backward (TB) and exponential time differencing (ETD). It is first shown that, unlike in electrically lossy media, the attenuation constant in doubly lossy media can be larger than its phase constant. This further calls for careful choice of cell size such that both wavelength and skin depth of the doubly lossy media are properly resolved. From the dispersion analysis, TF generally displays higher phase velocity and attenuation errors due to its first-order temporal accuracy nature compared to second-order ETD and TA. Although both have second-order temporal accuracy, ETD has generally lower phase velocity and attenuation errors than TA. This may be attributed to its closer resemblance to the solution of first-order differential equation. Numerical FDTD simulations in 1-D and 3-D further confirm these findings.
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Citation
Ding Yu Heh, and Eng Leong Tan, "Dispersion Analysis of FDTD Schemes for Doubly Lossy Media," Progress In Electromagnetics Research B, Vol. 17, 327-342, 2009.
doi:10.2528/PIERB09082802
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