Computation of Gabor coefficients for objects with polygonal cross section

Ligang Sun; Stefan Eijsvogel; Fahimeh Sepehripour; Roeland Dilz; Martijn C. van Beurden

doi:10.1109/ICEAA52647.2021.9539818

Computation of Gabor coefficients for objects with polygonal cross section

Ligang Sun, Stefan Eijsvogel, Fahimeh Sepehripour, Roeland Dilz, Martijn C. van Beurden

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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The Gabor transformation connects the spectral and spatial domain in a recently developed spatial spectral Maxwell solver. A key step involves computing the Gabor coefficients of the characteristic function of dielectric scattering objects. Therefore, computing Gabor coefficients accurately and efficiently is significant in the further development of this Maxwell solver. We discuss a method to numerically calculate the integrals involved in computing the Gabor coefficients, based on Gauss’s theorem and recurrence relations.

Originele taal-2	Engels
Titel	2021 International Conference on Electromagnetics in Advanced Applications, ICEAA 2021
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	72-77
Aantal pagina's	6
ISBN van elektronische versie	978-1-6654-1386-2
DOI's	https://doi.org/10.1109/ICEAA52647.2021.9539818
Status	Gepubliceerd - 21 sep. 2021
Evenement	22nd International Conference on Electromagnetics in Advanced Applications, ICEAA 2021 - Honolulu, Verenigde Staten van Amerika Duur: 9 aug. 2021 → 13 aug. 2021 https://www.iceaa-offshore.org/j3/

Congres

Congres	22nd International Conference on Electromagnetics in Advanced Applications, ICEAA 2021
Land/Regio	Verenigde Staten van Amerika
Stad	Honolulu
Periode	9/08/21 → 13/08/21
Internet adres	https://www.iceaa-offshore.org/j3/

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10.1109/ICEAA52647.2021.9539818

358_Paper_2021033517Finale auteursversie , 1,47 MB

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Sun, L., Eijsvogel, S., Sepehripour, F., Dilz, R., & van Beurden, M. C. (2021). Computation of Gabor coefficients for objects with polygonal cross section. In 2021 International Conference on Electromagnetics in Advanced Applications, ICEAA 2021 (blz. 72-77). Artikel 9539818 Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICEAA52647.2021.9539818

@inproceedings{d9c5a83171434270a0e9abaf8c52b12e,

title = "Computation of Gabor coefficients for objects with polygonal cross section",

abstract = "The Gabor transformation connects the spectral and spatial domain in a recently developed spatial spectral Maxwell solver. A key step involves computing the Gabor coefficients of the characteristic function of dielectric scattering objects. Therefore, computing Gabor coefficients accurately and efficiently is significant in the further development of this Maxwell solver. We discuss a method to numerically calculate the integrals involved in computing the Gabor coefficients, based on Gauss{\textquoteright}s theorem and recurrence relations.",

keywords = "Maxwell solver, Gabor transformation, polygonal object, recurrence relation, Olver{\textquoteright}s algorithm, Olver's algorithm",

author = "Ligang Sun and Stefan Eijsvogel and Fahimeh Sepehripour and Roeland Dilz and {van Beurden}, {Martijn C.}",

year = "2021",

month = sep,

day = "21",

doi = "10.1109/ICEAA52647.2021.9539818",

language = "English",

pages = "72--77",

booktitle = "2021 International Conference on Electromagnetics in Advanced Applications, ICEAA 2021",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "22nd International Conference on Electromagnetics in Advanced Applications, ICEAA 2021 ; Conference date: 09-08-2021 Through 13-08-2021",

url = "https://www.iceaa-offshore.org/j3/",

}

Sun, L, Eijsvogel, S , Sepehripour, F , Dilz, R & van Beurden, MC 2021, Computation of Gabor coefficients for objects with polygonal cross section. in 2021 International Conference on Electromagnetics in Advanced Applications, ICEAA 2021., 9539818, Institute of Electrical and Electronics Engineers, blz. 72-77, 22nd International Conference on Electromagnetics in Advanced Applications, ICEAA 2021, Honolulu, Hawaï, Verenigde Staten van Amerika, 9/08/21. https://doi.org/10.1109/ICEAA52647.2021.9539818

Computation of Gabor coefficients for objects with polygonal cross section. / Sun, Ligang; Eijsvogel, Stefan ; Sepehripour, Fahimeh et al.
2021 International Conference on Electromagnetics in Advanced Applications, ICEAA 2021. Institute of Electrical and Electronics Engineers, 2021. blz. 72-77 9539818.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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T1 - Computation of Gabor coefficients for objects with polygonal cross section

AU - Sun, Ligang

AU - Eijsvogel, Stefan

AU - Sepehripour, Fahimeh

AU - Dilz, Roeland

AU - van Beurden, Martijn C.

PY - 2021/9/21

Y1 - 2021/9/21

N2 - The Gabor transformation connects the spectral and spatial domain in a recently developed spatial spectral Maxwell solver. A key step involves computing the Gabor coefficients of the characteristic function of dielectric scattering objects. Therefore, computing Gabor coefficients accurately and efficiently is significant in the further development of this Maxwell solver. We discuss a method to numerically calculate the integrals involved in computing the Gabor coefficients, based on Gauss’s theorem and recurrence relations.

AB - The Gabor transformation connects the spectral and spatial domain in a recently developed spatial spectral Maxwell solver. A key step involves computing the Gabor coefficients of the characteristic function of dielectric scattering objects. Therefore, computing Gabor coefficients accurately and efficiently is significant in the further development of this Maxwell solver. We discuss a method to numerically calculate the integrals involved in computing the Gabor coefficients, based on Gauss’s theorem and recurrence relations.

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KW - Gabor transformation

KW - polygonal object

KW - recurrence relation

KW - Olver’s algorithm

KW - Olver's algorithm

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Y2 - 9 August 2021 through 13 August 2021

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Computation of Gabor coefficients for objects with polygonal cross section

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