Single integral equation for electromagnetic scattering by three-dimensional homogeneous dielectric objects

1999 ◽  
Vol 47 (10) ◽  
pp. 1615-1622 ◽  
Author(s):  
M.S. Yeung
Keyword(s):  
Integral Equation ◽  
Electromagnetic Scattering ◽  
Three Dimensional ◽  
Single Integral ◽  
Dielectric Objects

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 SURFACE INTEGRAL EQUATION FORMULATION FOR THE ANALYSIS OF SINGLE AND MULTI-LAYER DIELECTRIC ANTENNAS

2020 ◽  
Author(s):  
John Stevenson
Keyword(s):  
Integral Equation ◽  
Electromagnetic Scattering ◽  
Fast Multipole Method ◽  
Three Dimensional ◽  
Dielectric Materials ◽  
Layered Composite ◽  
Surface Integral ◽  
Dielectric Resonator Antennas ◽  
Surface Integral Equation ◽  
Integral Equation Formulation

This article studies numerically the electromagnetic scattering properties of three dimensional (3D), arbitrary shaped dielectric resonator antennas which are composed of single and multi-layered (composite) dielectric materials. Using the equivalence principle and the integral equation techniques, we first derive a surface integral equation (SIE) formulation which produces well-conditioned matrix equation. We then develop an algorithm to speed up the matrix-vector multiplications by employing the well-known method of moments (MoM) and the multilevel fast multipole method (MLFMM) on personal computer (PC) clusters. To solve the obtained integral equations, we apply a Galerkin scheme and choose the basis and testing functions as Rao-Wilton-Glisson (RWG) defined on planar patches. Finally, we present some 3D numerical examples to demonstrate the validity and accuracy of the proposed approach.

scholarly journals P-FFT Accelerated EFIE with a Novel Diagonal Perturbed ILUT Preconditioner for Electromagnetic Scattering by Conducting Objects in Half Space

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Lan-Wei Guo ◽  
Yongpin Chen ◽  
Jun Hu ◽  
Joshua Le-Wei Li
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Half Space ◽  
Electromagnetic Scattering ◽  
High Performance ◽  
Three Dimensional ◽  
Scattering Problems ◽  
Geometrical Structures ◽  
Incomplete Lu Factorization ◽  
Field Integral

A highly efficient and robust scheme is proposed for analyzing electromagnetic scattering from electrically large arbitrary shaped conductors in a half space. This scheme is based on the electric field integral equation (EFIE) with a half-space Green’s function. The precorrected fast Fourier transform (p-FFT) is first extended to a half space for general three-dimensional scattering problems. A novel enhanced dual threshold incomplete LU factorization (ILUT) is then constructed as an effective preconditioner to improve the convergence of the half-space EFIE. Inspired by the idea of the improved electric field integral operator (IEFIO), the geometrical-optics current/principle value term of the magnetic field integral equation is used as a physical perturbation to stabilize the traditional ILUT perconditioning matrix. The high accuracy of EFIE is maintained, yet good calculating efficiency comparable to the combined field integral equation (CFIE) can be achieved. Furthermore, this approach can be applied to arbitrary geometrical structures including open surfaces and requires no extra types of Sommerfeld integrals needed in the half-space CFIE. Numerical examples are presented to demonstrate the high performance of the proposed solver among several other approaches in typical half-space problems.

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