volume | PIER Journals

2019-07-15

A General ADE -FDTD with Crank-Nicolson Scheme for the Simulation of Dispersive Structures

Shi-Yu Long,

Dr. Shi-Yu Long

School of Information Engineering

Lingnan Normal University

China

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Wei-Jun Chen,

Dr. Wei-Jun Chen

School of Information Engineering

Lingnan Normal University

China

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Qi-Wen Liang,

Dr. Qi-Wen Liang

School of Information Engineering

Lingnan Normal University

China

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Min Zhao

Dr. Min Zhao

School of Information Engineering

Lingnan Normal University

China

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Progress In Electromagnetics Research Letters, Vol. 86, 1-6, 2019

doi:10.2528/PIERL19040801

Abstract

A general auxiliary differential equation (ADE) finite difference time-domain (FDTD) method with Crank-Nicolson (CN) scheme is proposed to model electromagnetic wave propagation in dispersive materials in this paper. The proposed method introduces an ADE technique that establishes the relationship between the electric displacement vector and electric field intensity with a differential equation in dispersive media. The CN scheme applies only to Faraday's law, resulting in reduced memory usage and computing time. To validate the advantages of the proposed approach, two examples with plane wave propagation in dispersive media are calculated. Compared with the conventional ADE-CN-FDTD method, the results from our proposed method show its accuracy and efficiency for dispersive media simulation.

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Shi-Yu Long, Wei-Jun Chen, Qi-Wen Liang, and Min Zhao, "A General ADE -FDTD with Crank-Nicolson Scheme for the Simulation of Dispersive Structures," Progress In Electromagnetics Research Letters, Vol. 86, 1-6, 2019.
doi:10.2528/PIERL19040801

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