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2015 | OriginalPaper | Chapter

4. Unconditionally Stable Fundamental Alternating Direction Implicit FDTD Method for Dispersive Media

Authors : Ding Yu Heh, Eng Leong Tan

Published in: Computational Electromagnetics—Retrospective and Outlook

Publisher: Springer Singapore

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Abstract

This chapter presents the formulation of novel unconditionally stable fundamental alternating direction implicit finite-difference time-domain (FADI-FDTD) method for dispersive media. A generalized formulation is provided, which is applicable for various dispersive models, such as Debye, Lorentz, Drude, and complex conjugate pole-residue pair models. The extension for full 3D dispersive media using novel FADI-FDTD method makes the resultant update equations much more concise and simpler than using conventional ADI-FDTD method. To demonstrate the application of novel FADI-FDTD method, the analysis of plasmonic waveguide using FADI-FDTD method is provided. The characteristics of a surface plasmon waveguides with Au (gold) and Ag (silver) metal cladding, modeled as combination of Drude-Lorentz dispersive media are analyzed. Further analysis of plasmonic waveguide grating filter is also considered.

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Title: Unconditionally Stable Fundamental Alternating Direction Implicit FDTD Method for Dispersive Media
Authors: Ding Yu Heh
Eng Leong Tan
Publisher: Springer Singapore
Book: Computational Electromagnetics—Retrospective and Outlook
Print ISBN: 978-981-287-094-0

Electronic ISBN: 978-981-287-095-7

Copyright Year: 2015
DOI: https://doi.org/10.1007/978-981-287-095-7_4