Static eigenfunction approach to the regularization of EFIE for printed antennas

Giuseppe Vecchi; Paola Pirinoli; Ladislau Matekovits; Mario Orefice

doi:10.1109/APS.1996.549592

Static eigenfunction approach to the regularization of EFIE for printed antennas

Giuseppe Vecchi^*, Paola Pirinoli, Ladislau Matekovits, Mario Orefice

^*Corresponding author for this work

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

Abstract

This paper deals with a novel approach for the transformation (regularization) of the first-kind Fredholm EFIE for printed structures into a second kind equation. The first-kind EFIE is recast into two coupled, smaller problems, that exhibit the same singular, static-related behavior, that makes possible the inversion of these singular parts. Here the inversion is done via numerical determination of the eigensystem of the singular operators; the resulting two classes of 'static' eigenfunctions appear to be an extension of the TM and TE modes of a waveguide, coupled by the edge singularities. Examples of application show that the regularized system in this basis has favorable convergence properties, that permit to approximate the solution with a few terms (e.g. 4-5 on a resonant patch), that can be selected a priori via the analysis of frequency-independent terms.

Original language	English
Title of host publication	1996 IEEE Antennas and Propagation Society International Symposium
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	272-275
Number of pages	4
Volume	1
ISBN (Print)	0780332164
DOIs	https://doi.org/10.1109/APS.1996.549592
Publication status	Published - 1996
Externally published	Yes
Event	1996 IEEE Antennas and Propagation-Society Symposium / USNC/URSI National Radio Science Meeting - Baltimore, United States Duration: 21 Jul 1996 → 26 Jul 1996

Conference

Conference	1996 IEEE Antennas and Propagation-Society Symposium / USNC/URSI National Radio Science Meeting
Country/Territory	United States
City	Baltimore
Period	21/07/96 → 26/07/96

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10.1109/APS.1996.549592

Cite this

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title = "Static eigenfunction approach to the regularization of EFIE for printed antennas",

abstract = "This paper deals with a novel approach for the transformation (regularization) of the first-kind Fredholm EFIE for printed structures into a second kind equation. The first-kind EFIE is recast into two coupled, smaller problems, that exhibit the same singular, static-related behavior, that makes possible the inversion of these singular parts. Here the inversion is done via numerical determination of the eigensystem of the singular operators; the resulting two classes of 'static' eigenfunctions appear to be an extension of the TM and TE modes of a waveguide, coupled by the edge singularities. Examples of application show that the regularized system in this basis has favorable convergence properties, that permit to approximate the solution with a few terms (e.g. 4-5 on a resonant patch), that can be selected a priori via the analysis of frequency-independent terms.",

author = "Giuseppe Vecchi and Paola Pirinoli and Ladislau Matekovits and Mario Orefice",

year = "1996",

doi = "10.1109/APS.1996.549592",

language = "English",

isbn = "0780332164",

volume = "1",

pages = "272--275",

booktitle = "1996 IEEE Antennas and Propagation Society International Symposium",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "1996 IEEE Antennas and Propagation-Society Symposium / USNC/URSI National Radio Science Meeting ; Conference date: 21-07-1996 Through 26-07-1996",

}

Vecchi, G, Pirinoli, P, Matekovits, L & Orefice, M 1996, Static eigenfunction approach to the regularization of EFIE for printed antennas. in 1996 IEEE Antennas and Propagation Society International Symposium. vol. 1, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 272-275, 1996 IEEE Antennas and Propagation-Society Symposium / USNC/URSI National Radio Science Meeting, Baltimore, Maryland, United States, 21/07/96. https://doi.org/10.1109/APS.1996.549592

Static eigenfunction approach to the regularization of EFIE for printed antennas. / Vecchi, Giuseppe; Pirinoli, Paola; Matekovits, Ladislau et al.
1996 IEEE Antennas and Propagation Society International Symposium. Vol. 1 Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 1996. p. 272-275.

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

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T1 - Static eigenfunction approach to the regularization of EFIE for printed antennas

AU - Vecchi, Giuseppe

AU - Pirinoli, Paola

AU - Matekovits, Ladislau

AU - Orefice, Mario

PY - 1996

Y1 - 1996

N2 - This paper deals with a novel approach for the transformation (regularization) of the first-kind Fredholm EFIE for printed structures into a second kind equation. The first-kind EFIE is recast into two coupled, smaller problems, that exhibit the same singular, static-related behavior, that makes possible the inversion of these singular parts. Here the inversion is done via numerical determination of the eigensystem of the singular operators; the resulting two classes of 'static' eigenfunctions appear to be an extension of the TM and TE modes of a waveguide, coupled by the edge singularities. Examples of application show that the regularized system in this basis has favorable convergence properties, that permit to approximate the solution with a few terms (e.g. 4-5 on a resonant patch), that can be selected a priori via the analysis of frequency-independent terms.

AB - This paper deals with a novel approach for the transformation (regularization) of the first-kind Fredholm EFIE for printed structures into a second kind equation. The first-kind EFIE is recast into two coupled, smaller problems, that exhibit the same singular, static-related behavior, that makes possible the inversion of these singular parts. Here the inversion is done via numerical determination of the eigensystem of the singular operators; the resulting two classes of 'static' eigenfunctions appear to be an extension of the TM and TE modes of a waveguide, coupled by the edge singularities. Examples of application show that the regularized system in this basis has favorable convergence properties, that permit to approximate the solution with a few terms (e.g. 4-5 on a resonant patch), that can be selected a priori via the analysis of frequency-independent terms.

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M3 - Conference proceeding contribution

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VL - 1

SP - 272

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BT - 1996 IEEE Antennas and Propagation Society International Symposium

PB - Institute of Electrical and Electronics Engineers (IEEE)

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T2 - 1996 IEEE Antennas and Propagation-Society Symposium / USNC/URSI National Radio Science Meeting

Y2 - 21 July 1996 through 26 July 1996

ER -

Static eigenfunction approach to the regularization of EFIE for printed antennas

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