Magnetic Field Integral Equation for Electromagnetic Scattering by Conducting Bodies of Revolution in Layered Media

Mohsen, A.; Abdelmageed, Alaa K.

doi:10.2528/pier98122202

Cited by 6 publications

(10 citation statements)

References 9 publications

(15 reference statements)

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“…The factors and are chosen such that the Euclidean norm of each function is unity on a unit square patch. Equation (12) incorporates the necessary modifications to enforce continuity of the normal component of the surface current across patch edges while maintaining almost perfect orthogonality of the basis functions.…”

Section: Discretization Schemementioning

confidence: 99%

“…According to (12), the expansion order of the current density on each patch is defined by four parameters and for , and and for . Basically, these parameters can be selected independently.…”

Section: E Selection Of the Expansion Ordermentioning

confidence: 99%

“…The problem of applying MFIE for scattering by PEC objects in layered media was addressed in [12], but only for the special case of bodies of revolution (MFIE-BOR method). Here, we consider a general problem of arbitrary closed PEC objects in layered media.…”

Section: Introductionmentioning

confidence: 99%

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Higher order hierarchical discretization scheme for surface integral equations for layered media

Jørgensen

Kim

Meincke

et al. 2004

IEEE Trans. Geosci. Remote Sensing

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Abstract-This paper presents an efficient technique for the analysis of electromagnetic scattering by arbitrarily shaped perfectly conducting objects in layered media. The technique is based on a higher order method of moments (MoM) solution of the electric field, magnetic field, or combined-field integral equation. This higher order MoM solution comprises higher order curved patches for the geometry modeling and higher order hierarchical basis functions for expansion of the electric surface current density. Due to the hierarchical property of the basis functions, the order of the expansion can be selected separately on each patch depending on the wavelength in the layer in which the patch is located and the size of the patch. In this way, a significant reduction of the number of unknowns is achieved and the same surface mesh can be reused in a wide frequency band. It is shown that even for fairly large problems, the higher order hierarchical MoM requires less memory than existing fast multipole method (FMM) or multilevel FMM implementations.Index Terms-Combined-field integral equation (CFIE), electromagnetic scattering, higher order hierarchical vector basis functions, layered media, Legendre polynomial, method of moments (MoM), perfectly conducting (PEC) object.

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Section: Discretization Schemementioning

confidence: 99%

Section: E Selection Of the Expansion Ordermentioning

confidence: 99%

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Higher order hierarchical discretization scheme for surface integral equations for layered media

Jørgensen

Kim

Meincke

et al. 2004

IEEE Trans. Geosci. Remote Sensing

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“…1) have been developed in [20] and [21]. The solution of these integral equations is not unique if the corresponding homogeneous equations have non-trivial solutions.…”

Section: Uniqueness Of the Solutionmentioning

confidence: 99%

“…Very recently Abdelmageed et al [20] have developed an electric field integral equation for conducting bodies of revolution (EFIE-BOR) in layered media. Also, Mohsen and Abdelmageed [21] have developed the magnetic field integral equation formulation for the same problem (MFIE-BOR). The uniqueness of both the EFIE-BOR and MFIE-BOR formulations are studied here.…”

Section: Introductionmentioning

confidence: 99%

The Uniqueness Problem of the Surface Integral Equations of a Conducting Body in a Layered Medium

Mohsen¹,

Abdelmageed²

1999

PIER

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Multi-Mode Analysis of Scattering by Bodies of Revolutions via the Combined-Field Integral Equation

Sepehripour

Hon

Beurden

2023

IEEE J. Multiscale Multiphys. Comput. Tech.

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Magnetic Field Integral Equation for Electromagnetic Scattering by Conducting Bodies of Revolution in Layered Media

Cited by 6 publications

References 9 publications

Higher order hierarchical discretization scheme for surface integral equations for layered media

Higher order hierarchical discretization scheme for surface integral equations for layered media

The Uniqueness Problem of the Surface Integral Equations of a Conducting Body in a Layered Medium

Multi-Mode Analysis of Scattering by Bodies of Revolutions via the Combined-Field Integral Equation

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