Toward Vector Generalized Source Integral Equations

Yossi Dahan; Amir Boag; Yaniv Brick

doi:10.1109/ICEAA61917.2024.10701810

Toward Vector Generalized Source Integral Equations

Yossi Dahan, Amir Boag, Yaniv Brick

School of Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The two-dimensional (2-D) transverse electric (TE) case is used for the development and demonstration of a vector generalized source integral equation (GSIE) formulation for the surface scattering problem, suitable for essentially-convex scatterers. The formulation uses magnetic current wires as sources for auxiliary dyadic components to the free-space Green’s function of point filamentary sources. The auxiliary component is designed to cancel the magnetic field tangential to a (perfect magnetic conductor) convex surface, acting as a shield. The resulting modified Green’s function exhibits a deeps shadow behind the shield, reduces the effective dimensionality of the interactions between large subdomains of the scatterer, and enhances the rank-deficiency of associated moment matrix blocks. The formulation complements the previously presented transverse magnetic (TM) effectively scalar 2-D formulations. As such, its derivation is a stepping stone toward that of three-dimensional GSIEs and vector auxiliary sources.

Original language	English
Title of host publication	International Conference on Electromagnetics in Advanced Applications and IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications, ICEAA-IEEE APWC 2024
Publisher	Institute of Electrical and Electronics Engineers
Pages	142-144
Number of pages	3
Edition	2024
ISBN (Electronic)	9798350360974
DOIs	https://doi.org/10.1109/ICEAA61917.2024.10701810
State	Published - 1 Jan 2024
Event	25th International Conference on Electromagnetics in Advanced Applications, ICEAA 2024 - Lisbon, Portugal Duration: 2 Sep 2024 → 6 Sep 2024

Conference

Conference	25th International Conference on Electromagnetics in Advanced Applications, ICEAA 2024
Country/Territory	Portugal
City	Lisbon
Period	2/09/24 → 6/09/24

Keywords

Moment methods
algebraic compression
direct solvers
fast solvers
integral equations

ASJC Scopus subject areas

Computer Networks and Communications
Electrical and Electronic Engineering
Instrumentation
Radiation

Access to Document

10.1109/ICEAA61917.2024.10701810

Cite this

Dahan, Y., Boag, A., & Brick, Y. (2024). Toward Vector Generalized Source Integral Equations. In International Conference on Electromagnetics in Advanced Applications and IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications, ICEAA-IEEE APWC 2024 (2024 ed., pp. 142-144). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICEAA61917.2024.10701810

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title = "Toward Vector Generalized Source Integral Equations",

abstract = "The two-dimensional (2-D) transverse electric (TE) case is used for the development and demonstration of a vector generalized source integral equation (GSIE) formulation for the surface scattering problem, suitable for essentially-convex scatterers. The formulation uses magnetic current wires as sources for auxiliary dyadic components to the free-space Green{\textquoteright}s function of point filamentary sources. The auxiliary component is designed to cancel the magnetic field tangential to a (perfect magnetic conductor) convex surface, acting as a shield. The resulting modified Green{\textquoteright}s function exhibits a deeps shadow behind the shield, reduces the effective dimensionality of the interactions between large subdomains of the scatterer, and enhances the rank-deficiency of associated moment matrix blocks. The formulation complements the previously presented transverse magnetic (TM) effectively scalar 2-D formulations. As such, its derivation is a stepping stone toward that of three-dimensional GSIEs and vector auxiliary sources.",

keywords = "Moment methods, algebraic compression, direct solvers, fast solvers, integral equations",

author = "Yossi Dahan and Amir Boag and Yaniv Brick",

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Dahan, Y, Boag, A & Brick, Y 2024, Toward Vector Generalized Source Integral Equations. in International Conference on Electromagnetics in Advanced Applications and IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications, ICEAA-IEEE APWC 2024. 2024 edn, Institute of Electrical and Electronics Engineers, pp. 142-144, 25th International Conference on Electromagnetics in Advanced Applications, ICEAA 2024, Lisbon, Portugal, 2/09/24. https://doi.org/10.1109/ICEAA61917.2024.10701810

Toward Vector Generalized Source Integral Equations. / Dahan, Yossi; Boag, Amir; Brick, Yaniv.
International Conference on Electromagnetics in Advanced Applications and IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications, ICEAA-IEEE APWC 2024. 2024. ed. Institute of Electrical and Electronics Engineers, 2024. p. 142-144.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Boag, Amir

AU - Brick, Yaniv

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N2 - The two-dimensional (2-D) transverse electric (TE) case is used for the development and demonstration of a vector generalized source integral equation (GSIE) formulation for the surface scattering problem, suitable for essentially-convex scatterers. The formulation uses magnetic current wires as sources for auxiliary dyadic components to the free-space Green’s function of point filamentary sources. The auxiliary component is designed to cancel the magnetic field tangential to a (perfect magnetic conductor) convex surface, acting as a shield. The resulting modified Green’s function exhibits a deeps shadow behind the shield, reduces the effective dimensionality of the interactions between large subdomains of the scatterer, and enhances the rank-deficiency of associated moment matrix blocks. The formulation complements the previously presented transverse magnetic (TM) effectively scalar 2-D formulations. As such, its derivation is a stepping stone toward that of three-dimensional GSIEs and vector auxiliary sources.

AB - The two-dimensional (2-D) transverse electric (TE) case is used for the development and demonstration of a vector generalized source integral equation (GSIE) formulation for the surface scattering problem, suitable for essentially-convex scatterers. The formulation uses magnetic current wires as sources for auxiliary dyadic components to the free-space Green’s function of point filamentary sources. The auxiliary component is designed to cancel the magnetic field tangential to a (perfect magnetic conductor) convex surface, acting as a shield. The resulting modified Green’s function exhibits a deeps shadow behind the shield, reduces the effective dimensionality of the interactions between large subdomains of the scatterer, and enhances the rank-deficiency of associated moment matrix blocks. The formulation complements the previously presented transverse magnetic (TM) effectively scalar 2-D formulations. As such, its derivation is a stepping stone toward that of three-dimensional GSIEs and vector auxiliary sources.

KW - Moment methods

KW - algebraic compression

KW - direct solvers

KW - fast solvers

KW - integral equations

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BT - International Conference on Electromagnetics in Advanced Applications and IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications, ICEAA-IEEE APWC 2024

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Dahan Y, Boag A, Brick Y. Toward Vector Generalized Source Integral Equations. In International Conference on Electromagnetics in Advanced Applications and IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications, ICEAA-IEEE APWC 2024. 2024 ed. Institute of Electrical and Electronics Engineers. 2024. p. 142-144 doi: 10.1109/ICEAA61917.2024.10701810

Toward Vector Generalized Source Integral Equations

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