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Unconditionally Stable Fundamental Alternating Direction Implicit FDTD Method for Dispersive Media

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Computational Electromagnetics—Retrospective and Outlook

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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Authors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, S2.2-B2-24 50, Nanyang Avenue, Singapore, 639798, Singapore

    Ding Yu Heh & Eng Leong Tan

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  1. Ding Yu Heh
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  2. Eng Leong Tan
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Correspondence to Eng Leong Tan .

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Editors and Affiliations

  1. Wireline and Perforating Services, Halliburton Far East Pte Ltd, Singapore, Singapore

    Iftikhar Ahmed

  2. Department of Electrical and Computer Engineering, Dalhousie University Halifax, Halifax, Nova Scotia, Canada

    Zhizhang (David) Chen

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Heh, D.Y., Tan, E.L. (2015). Unconditionally Stable Fundamental Alternating Direction Implicit FDTD Method for Dispersive Media. In: Ahmed, I., Chen, Z. (eds) Computational Electromagnetics—Retrospective and Outlook. Springer, Singapore. https://doi.org/10.1007/978-981-287-095-7_4

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  • DOI: https://doi.org/10.1007/978-981-287-095-7_4

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