scholarly journals NUMERICAL ANALYSIS OF COMBINED FIELD INTEGRAL EQUATION FORMULATIONS FOR ELECTROMAGNETIC SCATTERING BY DIELECTRIC AND COMPOSITE OBJECTS

2008 ◽  
Vol 3 ◽  
pp. 19-43 ◽  
Author(s):  
Pasi Ylä-Oijala
Keyword(s):  
Integral Equation ◽  
Numerical Analysis ◽  
Electromagnetic Scattering ◽  
Composite Objects ◽  
Field Integral

A Modified Hybrid Integral Equation to Electromagnetic Scattering from Composite PEC-Dielectric Objects Containing Closed-Open PEC Junctions

2021 ◽  
Vol 36 (6) ◽  
pp. 642-649
Author(s):  
Jinbo Liu ◽  
Hongyang Chen ◽  
Hui Zhang ◽  
Jin Yuan ◽  
Zengrui Li
Keyword(s):  
Integral Equation ◽  
Electromagnetic Scattering ◽  
Surface Integral ◽  
Electric Conductor ◽  
Electric Field Integral Equation ◽  
Surface Integral Equation ◽  
Hybrid Integral ◽  
Fast Solution ◽  
Dielectric Objects ◽  
Field Integral

To efficiently analyze the electromagnetic scattering from composite perfect electric conductor (PEC)-dielectric objects with coexisting closed-open PEC junctions, a modified hybrid integral equation (HIE) is established as the surface integral equation (SIE) part of the volume surface integral equation (VSIE), which employs the combined field integral equation (CFIE) and the electric field integral equation (EFIE) on the closed and open PEC surfaces, respectively. Different from the traditional HIE modeled for the objects whose closed and open PEC surfaces are strictly separate, the modified HIE can be applied to the objects containing closed-open junctions. A matrix equation is obtained by using the Galerkin’s method of moments (MoM), which is augmented with the spherical harmonics expansion-based multilevel fast multipole algorithm (SE-MLFMA), improved by the mixed-potential representation and the triangle/tetrahedron-based grouping scheme. Because in the improved SE-MLFMA, the memory usage for storing the radiation patterns of basis functions is independent of the SIE type in the VSIE, it is highly appropriate for the fast solution of the VSIE that contains the HIE. Various numerical experiments demonstrate that during the calculation of composite objects containing closed-open PEC junctions, the application of the modified HIE in the VSIE can give reliable results with fast convergence speed.

scholarly journals Parallel Integral Equation-Based Nonoverlapping DDM for Solving Challenging Electromagnetic Scattering Problems of Two Thousand Wavelengths

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Qin Su ◽  
Yingyu Liu ◽  
Xunwang Zhao ◽  
Zongjing Gu ◽  
Chang Zhai ◽  
...  
Keyword(s):  
Integral Equation ◽  
Electromagnetic Scattering ◽  
Domain Decomposition Method ◽  
Near Field ◽  
Limited Resources ◽  
Accurate Analysis ◽  
Scattering Problems ◽  
Fast Multipole Algorithm ◽  
Matrix Vector ◽  
Field Integral

In this paper, a parallel nonoverlapping and nonconformal domain decomposition method (DDM) is proposed for fast and accurate analysis of electrically large objects in the condition of limited resources. The formulation of nonoverlapping DDM for PEC bodies is derived from combined-field integral equation (CFIE), and an explicit boundary condition is applied to ensure the continuity of electric currents across the boundary. A parallel multilevel fast multipole algorithm (MLFMA) is extended to accelerate matrix-vector multiplications of subdomains as well as the coupling between them, and the coupling between different subdomains is computed in the manner of near field to avoid the storage of the mutual impedance. An improved adaptive direction partitioning scheme is applied to the oct-tree of MLFMA to achieve high parallel efficiency. Numerical examples demonstrate that the proposed method is able to simulate realistic problems with a maximum dimension greater than 2000 wavelengths.

Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation

2012 ◽  
Vol 11 (2) ◽  
pp. 383-399 ◽  
Author(s):  
Q. Chen ◽  
P. Monk ◽  
X. Wang ◽  
D. Weile
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Time Domain ◽  
Electromagnetic Scattering ◽  
Optimal Order ◽  
Electric Field Integral Equation ◽  
Optimal Order Of Convergence ◽  
Convolution Quadrature ◽  
The Time Domain ◽  
Field Integral

AbstractWe show how to apply convolution quadrature (CQ) to approximate the time domain electric field integral equation (EFIE) for electromagnetic scattering. By a suitable choice of CQ, we prove that the method is unconditionally stable and has the optimal order of convergence. Surprisingly, the resulting semi discrete EFIE is dispersive and dissipative, and we analyze this phenomena. Finally, we present numerical results supporting and extending our convergence analysis.

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