Tdie-Mot Solvers Based On Pmchwt And Muller Equations For Transient Scattering By 2d Dielectric Objects
2013 IEEE INTERNATIONAL CONFERENCE ON MICROWAVE TECHNOLOGY & COMPUTATIONAL ELECTROMAGNETICS (ICMTCE)(2013)
Abstract
An accurate numerical procedure for analyses of transient scattering by two-dimensional dielectric objects by using the Time Domain Integral Equation (TDIE) method based on PMCHWT equations and Muller equations is developed. The Marching On-in Time (MOT) scheme is employed to solve the integral equations. Quadratic B-spline function is used as the temporal basis functions, and closed-form integrals with respect to time are derived to calculate the matrix elements precisely. Numerical results demonstrate that both the PMCHWT and Muller approaches are accurate and stable for a range of relative permittivity in comparisons with the frequency domain results via discrete Fourier transforms. The Muller approach may be preferred to the PMCHWT scheme for small relative permittivity; however, the PMCHWT approach seems more dependable in general cases.
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Key words
Time domain integral equation method,two-dimensional dielectric objects,PMCHWT formulation,Muller formulation,stable solutions
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