Fast operations for a Gabor-frame-based integral equation with equidistant sampling

R.J. Dilz; M.C. van Beurden

doi:10.1109/LAWP.2017.2775702

Fast operations for a Gabor-frame-based integral equation with equidistant sampling

R.J. Dilz, M.C. van Beurden

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

3 Citaten (Scopus)

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We consider the computation time of a three-dimensional Gabor-frame-based spatial–spectral integral equation solver for scattering from dielectric objects embedded in a multilayer medium. Based on the Gabor frame, a new set of basis functions is proposed, together with a set of equidistant Dirac-delta test functions. Using this construction, we approximate the operations of Fourier transformation and pointwise multiplication by a method that is significantly faster than the original method. A numerical example is included where the computation time is reduced by a factor of 15, while preserving accuracy.

Originele taal-2	Engels
Artikelnummer	8115279
Pagina's (van-tot)	82-85
Aantal pagina's	4
Tijdschrift	IEEE Antennas and Wireless Propagation Letters
Volume	17
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1109/LAWP.2017.2775702
Status	Gepubliceerd - 19 jan. 2018

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10.1109/LAWP.2017.2775702

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3 Citaties
2 Tijdschriftartikel
1 Dissertatie 1 (Onderzoek TU/e / Promotie TU/e)

2D TM scattering problem for finite dielectric objects in a dielectric stratified medium employing Gabor frames in a domain integral equation
Dilz, R. J. (Corresponding author), van Kraaij, M. G. M. M. & van Beurden, M. C., 1 aug. 2017, In: Journal of the Optical Society of America A, Optics and Image Science. 34, 8, blz. 1315-1321 7 blz.
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A domain integral equation approach for simulating two dimensional transverse electric scattering in a layered medium with a Gabor frame discretization.
Dilz, R. J. & van Beurden, M. C., 15 sep. 2017, In: Journal of Computational Physics. 345, 1, blz. 528-542 15 blz.
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A spatial spectral domain integral equation solver for electromagnetic scattering in dielectric layered media
Dilz, R. J., 22 nov. 2017, Eindhoven: Technische Universiteit Eindhoven. 230 blz.
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Fast operations for a Gabor-frame-based integral equation with equidistant sampling

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Onderzoekersoutput

2D TM scattering problem for finite dielectric objects in a dielectric stratified medium employing Gabor frames in a domain integral equation

A domain integral equation approach for simulating two dimensional transverse electric scattering in a layered medium with a Gabor frame discretization.

A spatial spectral domain integral equation solver for electromagnetic scattering in dielectric layered media

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