Three-Dimensional Generalized Sources for Integral Equation Solvers

Dor Zvulun; Yaniv Brick; Amir Boag

doi:10.23919/AT-AP-RASC54737.2022.9814365

Three-Dimensional Generalized Sources for Integral Equation Solvers

Dor Zvulun, Yaniv Brick^*, Amir Boag

^*Corresponding author for this work

School of Electrical Engineering

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

2 Scopus citations

Abstract

To enable the development of low-rank compressible generalized sources integral equations, a modified three-dimensional source is presented. Its design is an extension of a two-dimensional generalized source, composed of an elemental source and an auxiliary absorbing shield. On the shield, equivalent sources are defined to approximately cancel the broadside radiation in the direction of potential observers on an essentially convex geometry. The design principles are discussed and means for the efficient computation of the generalized source's modified Green's function, from tabulated samples using non-uniform grids, are described.

Original language	English
Title of host publication	2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9789463968058
DOIs	https://doi.org/10.23919/AT-AP-RASC54737.2022.9814365
State	Published - 2022
Event	3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022 - Gran Canaria, Spain Duration: 30 May 2022 → 4 Jun 2022

Publication series

Name	2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022

Conference

Conference	3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022
Country/Territory	Spain
City	Gran Canaria
Period	30/05/22 → 4/06/22

Keywords

Green's function
Integral equations
direct solvers
fast methods

Access to Document

10.23919/AT-AP-RASC54737.2022.9814365

Cite this

Zvulun, D., Brick, Y., & Boag, A. (2022). Three-Dimensional Generalized Sources for Integral Equation Solvers. In 2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022 (2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/AT-AP-RASC54737.2022.9814365

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title = "Three-Dimensional Generalized Sources for Integral Equation Solvers",

abstract = "To enable the development of low-rank compressible generalized sources integral equations, a modified three-dimensional source is presented. Its design is an extension of a two-dimensional generalized source, composed of an elemental source and an auxiliary absorbing shield. On the shield, equivalent sources are defined to approximately cancel the broadside radiation in the direction of potential observers on an essentially convex geometry. The design principles are discussed and means for the efficient computation of the generalized source's modified Green's function, from tabulated samples using non-uniform grids, are described.",

keywords = "Green's function, Integral equations, direct solvers, fast methods",

author = "Dor Zvulun and Yaniv Brick and Amir Boag",

note = "Publisher Copyright: {\textcopyright} 2022 URSI.; 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022 ; Conference date: 30-05-2022 Through 04-06-2022",

year = "2022",

doi = "10.23919/AT-AP-RASC54737.2022.9814365",

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Zvulun, D, Brick, Y & Boag, A 2022, Three-Dimensional Generalized Sources for Integral Equation Solvers. in 2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022. 2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022, Institute of Electrical and Electronics Engineers Inc., 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022, Gran Canaria, Spain, 30/05/22. https://doi.org/10.23919/AT-AP-RASC54737.2022.9814365

Three-Dimensional Generalized Sources for Integral Equation Solvers. / Zvulun, Dor; Brick, Yaniv; Boag, Amir.
2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022. Institute of Electrical and Electronics Engineers Inc., 2022. (2022 3rd URSI Atlantic and Asia Pacific Radio Science Meeting, AT-AP-RASC 2022).

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

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AU - Boag, Amir

PY - 2022

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N2 - To enable the development of low-rank compressible generalized sources integral equations, a modified three-dimensional source is presented. Its design is an extension of a two-dimensional generalized source, composed of an elemental source and an auxiliary absorbing shield. On the shield, equivalent sources are defined to approximately cancel the broadside radiation in the direction of potential observers on an essentially convex geometry. The design principles are discussed and means for the efficient computation of the generalized source's modified Green's function, from tabulated samples using non-uniform grids, are described.

AB - To enable the development of low-rank compressible generalized sources integral equations, a modified three-dimensional source is presented. Its design is an extension of a two-dimensional generalized source, composed of an elemental source and an auxiliary absorbing shield. On the shield, equivalent sources are defined to approximately cancel the broadside radiation in the direction of potential observers on an essentially convex geometry. The design principles are discussed and means for the efficient computation of the generalized source's modified Green's function, from tabulated samples using non-uniform grids, are described.

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KW - Integral equations

KW - direct solvers

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PB - Institute of Electrical and Electronics Engineers Inc.

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Three-Dimensional Generalized Sources for Integral Equation Solvers

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