A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures

M.C. Beurden, van; T. Zacharopoulou; A. Roc'h; M.G.M.M. Kraaij, van

doi:10.1109/ICEAA.2015.7297353

A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures

M.C. Beurden, van, T. Zacharopoulou, A. Roc'h, M.G.M.M. Kraaij, van

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

2 Citations (Scopus)

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Abstract

We explore several options to introduce a pseudo-spectral expansion along the longitudinal direction in a spectral-domain integral equation for scattering by periodic dielectric structures. To this end we first simplify the integral equation to the formulation for a one-dimensional dielectric slab and consider the computational efficiency, convergence, and conditioning of several schemes. One scheme has been implemented in the domain integral equation and it exhibits exponential convergence with respect to the number of expansion functions in the longitudinal direction.

Original language	English
Title of host publication	Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), 7-11 September 2015, Torino, Italy
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	1419-1422
ISBN (Print)	978-1-4799-7805-2
DOIs	https://doi.org/10.1109/ICEAA.2015.7297353
Publication status	Published - 2015
Event	17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015 - "Centro Congressi Torino Incontra", Torino, Italy Duration: 7 Sep 2015 → 11 Sep 2015 Conference number: 17

Conference

Conference	17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015
Abbreviated title	ICEAA 2015
Country/Territory	Italy
City	Torino
Period	7/09/15 → 11/09/15
Other

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10.1109/ICEAA.2015.7297353

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Beurden, van, M. C., Zacharopoulou, T., Roc'h, A., & Kraaij, van, M. G. M. M. (2015). A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures. In Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), 7-11 September 2015, Torino, Italy (pp. 1419-1422). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICEAA.2015.7297353

Beurden, van, M.C. ; Zacharopoulou, T. ; Roc'h, A. et al. / A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures. Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), 7-11 September 2015, Torino, Italy. Piscataway : Institute of Electrical and Electronics Engineers, 2015. pp. 1419-1422

@inproceedings{791cc43b03b14f6a99c533f9d6ce55dc,

title = "A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures",

abstract = "We explore several options to introduce a pseudo-spectral expansion along the longitudinal direction in a spectral-domain integral equation for scattering by periodic dielectric structures. To this end we first simplify the integral equation to the formulation for a one-dimensional dielectric slab and consider the computational efficiency, convergence, and conditioning of several schemes. One scheme has been implemented in the domain integral equation and it exhibits exponential convergence with respect to the number of expansion functions in the longitudinal direction.",

author = "{Beurden, van}, M.C. and T. Zacharopoulou and A. Roc'h and {Kraaij, van}, M.G.M.M.",

year = "2015",

doi = "10.1109/ICEAA.2015.7297353",

language = "English",

isbn = "978-1-4799-7805-2",

pages = "1419--1422",

booktitle = "Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), 7-11 September 2015, Torino, Italy",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015, ICEAA 2015 ; Conference date: 07-09-2015 Through 11-09-2015",

}

Beurden, van, MC, Zacharopoulou, T, Roc'h, A & Kraaij, van, MGMM 2015, A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures. in Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), 7-11 September 2015, Torino, Italy. Institute of Electrical and Electronics Engineers, Piscataway, pp. 1419-1422, 17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015, Torino, Italy, 7/09/15. https://doi.org/10.1109/ICEAA.2015.7297353

A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures. / Beurden, van, M.C.; Zacharopoulou, T.; Roc'h, A. et al.

Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), 7-11 September 2015, Torino, Italy. Piscataway : Institute of Electrical and Electronics Engineers, 2015. p. 1419-1422.

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

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T1 - A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures

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AU - Zacharopoulou, T.

AU - Roc'h, A.

AU - Kraaij, van, M.G.M.M.

N1 - Conference code: 17

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N2 - We explore several options to introduce a pseudo-spectral expansion along the longitudinal direction in a spectral-domain integral equation for scattering by periodic dielectric structures. To this end we first simplify the integral equation to the formulation for a one-dimensional dielectric slab and consider the computational efficiency, convergence, and conditioning of several schemes. One scheme has been implemented in the domain integral equation and it exhibits exponential convergence with respect to the number of expansion functions in the longitudinal direction.

AB - We explore several options to introduce a pseudo-spectral expansion along the longitudinal direction in a spectral-domain integral equation for scattering by periodic dielectric structures. To this end we first simplify the integral equation to the formulation for a one-dimensional dielectric slab and consider the computational efficiency, convergence, and conditioning of several schemes. One scheme has been implemented in the domain integral equation and it exhibits exponential convergence with respect to the number of expansion functions in the longitudinal direction.

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DO - 10.1109/ICEAA.2015.7297353

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BT - Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), 7-11 September 2015, Torino, Italy

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Beurden, van MC, Zacharopoulou T, Roc'h A, Kraaij, van MGMM. A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures. In Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA), 7-11 September 2015, Torino, Italy. Piscataway: Institute of Electrical and Electronics Engineers. 2015. p. 1419-1422 doi: 10.1109/ICEAA.2015.7297353

A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures

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