A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations

Remco Stoffer; A. Sopaheluwakan; Manfred Hammer; Embrecht W.C. van Groesen

doi:10.1109/MMET.2008.4580911

A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations

Remco Stoffer, A. Sopaheluwakan, Manfred Hammer, Embrecht W.C. van Groesen

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

250 Downloads (Pure)

Abstract

By combining Dirichlet to Neumann (DtN) operators and Perfectly Matched Layers (PML’s) as boundary conditions on a rectangular domain on which the Helmholtz equation is solved, the disadvantages of both methods are greatly diminished. Due to the DtN operators, light may be accurately fluxed into the domain, while the PML’s absorb light that is reflected from the corners of the domain when only DtN boundaries are used.

Original language	Undefined
Title of host publication	Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08
Place of Publication	Piscataway
Publisher	IEEE
Pages	124-126
Number of pages	3
ISBN (Print)	978-1-4244-2284-5
DOIs	https://doi.org/10.1109/MMET.2008.4580911
Publication status	Published - 2008
Event	12-th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08 - Odesa, Ukraine Duration: 29 Jun 2008 → 2 Jul 2008

Publication series

Name
Publisher	IEEE
Number	Supplement
Volume	IEEE: CFP0

Conference

Conference	12-th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08
Period	29/06/08 → 2/07/08
Other	29 June - 02 July 2008

Keywords

EWI-13423
METIS-251176
IR-64976

Access to Document

10.1109/MMET.2008.4580911

Cite this

Stoffer, R., Sopaheluwakan, A., Hammer, M., & van Groesen, E. W. C. (2008). A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations. In Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08 (pp. 124-126). [10.1109/MMET.2008.4580911] IEEE. https://doi.org/10.1109/MMET.2008.4580911

@inproceedings{6eb02f6a4b86494abc4479f1b4d7116b,

title = "A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations",

abstract = "By combining Dirichlet to Neumann (DtN) operators and Perfectly Matched Layers (PML{\textquoteright}s) as boundary conditions on a rectangular domain on which the Helmholtz equation is solved, the disadvantages of both methods are greatly diminished. Due to the DtN operators, light may be accurately fluxed into the domain, while the PML{\textquoteright}s absorb light that is reflected from the corners of the domain when only DtN boundaries are used.",

keywords = "EWI-13423, METIS-251176, IR-64976",

author = "Remco Stoffer and A. Sopaheluwakan and Manfred Hammer and {van Groesen}, {Embrecht W.C.}",

note = "10.1109/MMET.2008.4580911 ; 12-th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08 ; Conference date: 29-06-2008 Through 02-07-2008",

year = "2008",

doi = "10.1109/MMET.2008.4580911",

language = "Undefined",

isbn = "978-1-4244-2284-5",

publisher = "IEEE",

number = "Supplement",

pages = "124--126",

booktitle = "Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08",

address = "United States",

}

Stoffer, R, Sopaheluwakan, A, Hammer, M & van Groesen, EWC 2008, A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations. in Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08., 10.1109/MMET.2008.4580911, IEEE, Piscataway, pp. 124-126, 12-th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08, 29/06/08. https://doi.org/10.1109/MMET.2008.4580911

A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations. / Stoffer, Remco; Sopaheluwakan, A.; Hammer, Manfred et al.
Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08. Piscataway: IEEE, 2008. p. 124-126 10.1109/MMET.2008.4580911.

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

TY - GEN

T1 - A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations

AU - Stoffer, Remco

AU - Sopaheluwakan, A.

AU - Hammer, Manfred

AU - van Groesen, Embrecht W.C.

N1 - 10.1109/MMET.2008.4580911

PY - 2008

Y1 - 2008

N2 - By combining Dirichlet to Neumann (DtN) operators and Perfectly Matched Layers (PML’s) as boundary conditions on a rectangular domain on which the Helmholtz equation is solved, the disadvantages of both methods are greatly diminished. Due to the DtN operators, light may be accurately fluxed into the domain, while the PML’s absorb light that is reflected from the corners of the domain when only DtN boundaries are used.

AB - By combining Dirichlet to Neumann (DtN) operators and Perfectly Matched Layers (PML’s) as boundary conditions on a rectangular domain on which the Helmholtz equation is solved, the disadvantages of both methods are greatly diminished. Due to the DtN operators, light may be accurately fluxed into the domain, while the PML’s absorb light that is reflected from the corners of the domain when only DtN boundaries are used.

KW - EWI-13423

KW - METIS-251176

KW - IR-64976

U2 - 10.1109/MMET.2008.4580911

DO - 10.1109/MMET.2008.4580911

M3 - Conference contribution

SN - 978-1-4244-2284-5

SP - 124

EP - 126

BT - Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08

PB - IEEE

CY - Piscataway

T2 - 12-th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08

Y2 - 29 June 2008 through 2 July 2008

ER -

Stoffer R, Sopaheluwakan A, Hammer M, van Groesen EWC. A combination of Dirichlet to Neumann operators and perfectly matched layers as boundary conditions for optical finite element simulations. In Proceedings of the 12th International Conference on Mathematical Methods in Electromagnetic Theory, MMET08. Piscataway: IEEE. 2008. p. 124-126. 10.1109/MMET.2008.4580911 doi: 10.1109/MMET.2008.4580911