Efficient parallel analysis of transient plane wave scattering from nonplanar doubly periodic structures

[摘要] This paper presents a fast scheme for solving a time-domain electric field integral equation pertinent to the analysis of transient plane wave scattering from nonplanar doubly periodic structures. The proposed scheme efficiently evaluates scattered fields from periodic structures by decomposing the sources that produce them into present and past components. The fields radiated by present sources are evaluated classically. In contrast, fields generated by past sources are expanded into time domain Floquet waves with modal amplitudes that are evolved in both space and time using a spectral time-stepping scheme complemented by Huygens' principle based boundary conditions. The kernel equations and efficient parallel evaluation associated with the scattered fields generated by past sources are validated and effectiveness of the resulting algorithm are demonstrated by a number of examples.

[发布机构] Department of Communications Engineering, Yuan Ze University, Jhongli; 320, Taiwan^1

[效力级别] 数学

[关键词] Huygens' principle;Parallel analysis;Parallel evaluation;Plane-wave scattering;Scattered field;Space and time;Time domain electric field integral equation;Time-stepping schemes