The vulume intesral equation and Fourier transform are applied to solve thetransient response of a dielectric square cylinder. if the dielectric square cylinderis only two-dimensional inhoniogeneous and the source is ...The vulume intesral equation and Fourier transform are applied to solve thetransient response of a dielectric square cylinder. if the dielectric square cylinderis only two-dimensional inhoniogeneous and the source is three-dimensional,Fourier transformation is used to reduce the three-dimensional source into thesuperposition of two diniensional source.展开更多
This paper is concerned with stable solutions of time domain integral equation （TDIE） methods for transient scattering problems with 3D conducting objects. We use the quadratic B-spline function as temporal basis fu...This paper is concerned with stable solutions of time domain integral equation （TDIE） methods for transient scattering problems with 3D conducting objects. We use the quadratic B-spline function as temporal basis functions, which permits both the induced currents and induced charges to be properly approximated in terms of completeness. Because the B-spline function has the least support width among all polynomial basis functions of the same order, the resulting system matrices seem to be the sparsest. The TDIE formula-tions using induced electric polarizations as unknown function are adopted and justified. Numerical results demonstrate that the proposed approach is accurate and efficient, and no late-time instability is observed.展开更多
文摘The vulume intesral equation and Fourier transform are applied to solve thetransient response of a dielectric square cylinder. if the dielectric square cylinderis only two-dimensional inhoniogeneous and the source is three-dimensional,Fourier transformation is used to reduce the three-dimensional source into thesuperposition of two diniensional source.
文摘This paper is concerned with stable solutions of time domain integral equation （TDIE） methods for transient scattering problems with 3D conducting objects. We use the quadratic B-spline function as temporal basis functions, which permits both the induced currents and induced charges to be properly approximated in terms of completeness. Because the B-spline function has the least support width among all polynomial basis functions of the same order, the resulting system matrices seem to be the sparsest. The TDIE formula-tions using induced electric polarizations as unknown function are adopted and justified. Numerical results demonstrate that the proposed approach is accurate and efficient, and no late-time instability is observed.
