Formulation of Surface-Volume-Surface-EFIE for Solution of Three-Dimensional Scattering Problems on Composite Dielectric Objects

Chen, Zhuotong; Gholami, Reza; Mojolagbe, Jamiu

doi:10.1109/lawp.2018.2830349

Cited by 15 publications

(2 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Various single-source (SS) formulations, such as the surface integral equation (SIE) with the differential surface admittance operator (DSAO) [19]- [25], the single-source surface-volumesurface (SS-SVS) formulation [26]- [29], with only electric current density are developed. Those formulations show efficiency improvement in terms of CPU time and memory consumption compared with their dual source counterparts.…”

Section: Introductionmentioning

confidence: 99%

Single-Source SIE for Two-Dimensional Arbitrarily Connected Penetrable and PEC Objects with Nonconformal Meshes

Zhu,

Sun,

Zhou

et al. 2021

Preprint

View full text Add to dashboard Cite

We proposed a simple and efficient modular singlesource surface integral equation (SS-SIE) formulation for electromagnetic analysis of arbitrarily connected penetrable and perfectly electrical conductor (PEC) objects. In this formulation, a modular equivalent model for each penetrable object consisting of the composite structure is first independently constructed through replacing it by the background medium, no matter whether it is surrounded by the background medium, other media, or partially connected objects, and enforcing an equivalent electric current density on the boundary to remain fields in the exterior region unchanged. Then, by combining all the modular models and any possible PEC objects together, an equivalent model for the composite structure can be derived. The troublesome junction handling techniques are not needed and non-conformal meshes are intrinsically supported. The proposed SS-SIE formulation is simple to implement, efficient, and flexible, which shows significant performance improvement in terms of CPU time compared with the original SS-SIE formulation and the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation. Several numerical examples including the coated dielectric cuboid, the large lossy objects, the planar layered dielectric structure, and the partially connected dielectric and PEC structure are carried out to validate its accuracy, efficiency and robustness.

show abstract

Section: Introductionmentioning

confidence: 99%

Single-Source SIE for Two-Dimensional Arbitrarily Connected Penetrable and PEC Objects with Nonconformal Meshes

Zhu,

Sun,

Zhou

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In this work, we develop a hierarchical (H-) matrix based MoM frameworks [31,32] for solution of the Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE) which we recently introduced for analysis of the scattering problems on dielectric objects [39][40][41][42][43]. The SVS-EFIE is a class of Single-Source Surface Integral Equations (SSSIE) [44,45] which reduces the number of unknowns by half compared to the traditional surface integral-equation formulations [46,47].…”

Section: Introductionmentioning

confidence: 99%

H-Matrix Arithmetic for Fast Direct and Iterative Method of Moment Solution of Surface-Volume-Surface Efie for 3-D Radiation Problems

Gholami¹,

Mojolagbe²,

Menshov³

et al. 2018

PIER B

Self Cite

View full text Add to dashboard Cite

Hierarchical (H-) matrix based fast direct and iterative algorithms are presented for acceleration of the Method of Moment (MoM) solution of the Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE) formulated for scattering and radiation problems on homogeneous dielectric objects. As the SVS-EFIE features the product of the integral operator mapping the tangential equivalent electric current on the surface of the scatterer to the volume polarization current and the integral operator mapping the volume polarization current to the tangential component of the scattered electric field, its MoM discretization produces the product of non-square matrices. Formation of the non-square H-matrices for the MoM discretized integral operators is described. The algorithms for arithmetics pertinent to the product of the non-square H-matrices are explained. The memory and CPU time complexity scaling of the required H-matrix operations are analyzed in details and verified numerically. The numerical validation of the proposed algorithm is provided for both the lowloss dielectric objects as well as for the high-loss biological tissues found in the bioelectromagnetics applications. The numerical experiments demonstrate a significant reduction of memory usage and a considerable speedup for CPU time compared to naïve MoM, thus, enabling solution of the large-scale scattering and radiation problems with the SVS-EFIE.

show abstract

On the Error Study of Surface-Volume-Surface EFIE for solving the 3-D Scattering Problems on Composite Dielectric Objects

Gholami

Chen

2018

2018 18th International Symposium on Antenna Technology and Applied Electromagnetics (ANTEM)

View full text Add to dashboard Cite

Formulation of Surface-Volume-Surface-EFIE for Solution of Three-Dimensional Scattering Problems on Composite Dielectric Objects

Cited by 15 publications

References 8 publications

Single-Source SIE for Two-Dimensional Arbitrarily Connected Penetrable and PEC Objects with Nonconformal Meshes

Single-Source SIE for Two-Dimensional Arbitrarily Connected Penetrable and PEC Objects with Nonconformal Meshes

H-Matrix Arithmetic for Fast Direct and Iterative Method of Moment Solution of Surface-Volume-Surface Efie for 3-D Radiation Problems

On the Error Study of Surface-Volume-Surface EFIE for solving the 3-D Scattering Problems on Composite Dielectric Objects

Contact Info

Product

Resources

About