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An Accurate Solution of Time-Domain Magnetic Integral Equation Using Higher Vector Order Basis Function

Yanwen Zhao, Zaiping Nie, Jianhua Xu, WU Sheng-bo, Xi Luo

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Abstract

The time domain integral equation (TDIE) method for transient scattering analysis has received considerable attention in the past few years. In this work, the high order vector basis function in Kang et al. (2001) is used for solving three-dimensional time-domain magnetic integral equations (TDMFIE), and thus the tedious evaluation of the space-time integrals in the method-of-moments of the time-domain integral equations is greatly simplified and accelerated. The point matching methods in space and time are implemented for the solution of TDMFIE. Two numerical results are presented to demonstrate the accuracy and efficiency of this method.

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What this paper is about

The time domain integral equation (TDIE) method for transient scattering analysis has received considerable attention in the past few years. In this work, the high order vector basis function in Kang et al. (2001) is used for solving three-dimensional time-domain magnetic integral equations (TDMFIE), and thus the tedious evaluation of the space-time integrals in the method-of-moments of the time-domain integral equations is greatly simplified and accelerated. The point matching methods in space and time are implemented for the solution of TDMFIE. Two numerical results are presented to demonstrate the accuracy and efficiency of this method.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The time domain integral equation (TDIE) method for transient scattering analysis has received considerable attention in the past few years. In this work, the high order vector basis function in Kang et al. (2001) is used for solving three-dimensional time-domain magnetic integral equations (TDMFIE), and thus the tedious evaluation of the space-time integrals in the method-of-moments of the time-domain integral equations is greatly simplified and accelerated. The point matching methods in space and time are implemented for the solution of TDMFIE. Two numerical results are presented to demonstrate the accuracy and efficiency of this method.

Key concepts: Integral equation, Basis function, Electric-field integral equation, Time domain, Mathematical analysis, Basis (linear algebra), Domain (mathematical analysis), Mathematics

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