Analysis of transient electromagnetic scattering from closed surfaces using a combined field integral equation

Shanker, B.; Ergin, A.A.; Aygün, Kemal; Michielssen, E.

doi:10.1109/8.876325

Cited by 150 publications

(110 citation statements)

References 21 publications

Supporting

Mentioning

104

Contrasting

Order By: Relevance

“…This approach is known to provide accurate results for the EFIE and therefore is also employed for the discretization and solution of the MFIE and CFIE [Hodges and RahmatSamii, 1997;Song et al, 1998;Shanker et al, 2000;Rius et al, 2001]. Unfortunately, compared to the EFIE results, the MFIE results are observed to be plagued with an inaccuracy problem persistent for a wide variety of scattering problems, even for the solution of simple geometries, such as the sphere [Ergül and Gürel, 2006].…”

Section: Introductionmentioning

confidence: 93%

Improving the accuracy of the magnetic field integral equation with the linear‐linear basis functions

Ergül

Gürel

2006

Radio Science

View full text Add to dashboard Cite

[1] Basis functions with linear variations are investigated in terms of the accuracy of the magnetic field integral equation (MFIE) and the combined-field integral equation (CFIE), on the basis of recent reports indicating the inaccuracy of the MFIE. Electromagnetic scattering problems involving conducting targets with arbitrary geometries, closed surfaces, and planar triangulations are considered. Specifically, two functions with linear variations along the triangulation edges in both tangential and normal directions (linear normal and linear tangential (LN-LT) type) are defined. They are compared to the previously employed divergence-conforming Rao-Wilton-Glisson (RWG) and curl-conformingn Â RWG functions. Examples are presented to demonstrate the significant improvement in the accuracy of the MFIE and the CFIE gained by replacing the commonly used RWG functions with the LN-LT type functions.Citation: Ergül, Ö ., and L. Gürel (2006), Improving the accuracy of the magnetic field integral equation with the linear-linear basis functions, Radio Sci., 41, RS4004,

show abstract

Section: Introductionmentioning

confidence: 93%

Improving the accuracy of the magnetic field integral equation with the linear‐linear basis functions

Ergül

Gürel

2006

Radio Science

View full text Add to dashboard Cite

show abstract

“…Since the system is greatly decoupled (hence the size for the deconvolution problem is greatly decreased), marching-on-in-time or time-stepping approach [52] is easy to be applied here. While details are not given in this paper, readers are referred to [43,45] for a more complete description.…”

Section: Marching-on-in-time Solutionmentioning

confidence: 99%

Time-Dependent Lorentz-Mie-Debye Formulation for Electromagnetic Scattering From Dielectric Spheres (Invited Paper)

Shanker²

2015

PIER

View full text Add to dashboard Cite

Abstract-Canonical solutions to frequency domain Maxwell's equations, in the spherical coordinate system, have found extensive use as is evident from citations in the scientific literature. What is conspicuous by its absence is lack of such expressions for transient Maxwell systems. The existence of such expressions or approximations, provide the means to glean interesting physics in a variety of applications as well as validate existing numerical fullwave solvers. However, developing these expressions is beset with challenges; direct inverse Fourier transforms of frequency domain expressions are unstable. Successful approaches that ameliorate this instability are more recent endeavor. In this paper, we generalize our earlier contribution to this effort by exploiting a novel representation of the retarded potential to derive expressions for scattering from a dielectric sphere. Several results are provided that demonstrate the stability and accuracy of the method.

show abstract

“…However, in this paper, we will use the time domain Poggio-Miller-Chang-Harrington-Wu (TD-PMCHW) equations that were found harder to stabilize than the TD-EFIE or the time domain magnetic field integral equation (TD-MFIE) for dielectric bodies [18]. The use of the combined-field type TD-PMCHW equations is important in terms of eliminating the possible spurious solutions near the resonant frequencies, because either TD-EFIE or TD-MFIE for conducting bodies has been found to give wrong results near these frequency points when the data in time domain are transformed to frequency domain [19,20].…”

Section: Introductionmentioning

confidence: 99%

“…Section 2 is dedicated to formulations by employing the induced equivalent polarization and magnetization as unknown functions. In the past, induced equivalent electric and magnetic currents are commonly used as unknown functions, by which extra temporal integrals have to be performed to find the electric and magnetic charges to calculate the scalar potentials [6,16,19]. To avoid doing the integrals, the governing equations, i.e., the boundary conditions, are differentiated with respect to time [7,9,10,14].…”

Section: Introductionmentioning

confidence: 99%

Time Domain Integral Equation Approach for Analysis of Transient Responses by Metallic-Dielectric Composite Bodies

Zhang¹,

Xia²,

Chan³

2008

PIER

View full text Add to dashboard Cite

Abstract-A time domain integral equation approach for analysis of transient responses by 3D composite metallic-dielectric bodies is proposed, which is formulated using the surface equivalent polarization and magnetization as unknown functions. The time domain electric field integral equation is adopted for the metallic part, while the time domain Piggio-Miller-Chang-Harrington-Wu integral equations are adopted for the dielectric part. The spatial and temporal basis functions are the Rao-Wilton-Glisson functions and quadratic Bspline functions, respectively. Numerical examples are provided to demonstrate the stability and accuracy of the proposed method. No late-time instability is encountered, and the results are found in good agreements with analytical or moment method solutions.

show abstract

Analysis of transient electromagnetic scattering from closed surfaces using a combined field integral equation

Cited by 150 publications

References 21 publications

Improving the accuracy of the magnetic field integral equation with the linear‐linear basis functions

Improving the accuracy of the magnetic field integral equation with the linear‐linear basis functions

Time-Dependent Lorentz-Mie-Debye Formulation for Electromagnetic Scattering From Dielectric Spheres (Invited Paper)

Time Domain Integral Equation Approach for Analysis of Transient Responses by Metallic-Dielectric Composite Bodies

Contact Info

Product

Resources

About