Numerical solution to Maxwell's equations in singular waveguides

Franck Assous; Patrick Ciarlet

doi:10.1007/978-3-540-72590-9_34

Numerical solution to Maxwell's equations in singular waveguides

Franck Assous, Patrick Ciarlet

Department of Mathematics

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

Abstract

This paper is devoted to the numerical solution of the instationary Maxwell equations in singular waveguides. The geometry is called singular, as its boundary includes reentrant corners or edges, which generate, in their neighborhood, strong electromagnetic fields. We have built a method which allows to compute the time-dependent electromagnetic field, based on a splitting of the spaces of solutions: First, the subspace of regular fields, which coincides with the whole space of solutions, in the case of convex or smooth boundary; Second, a singular subspace, defined and characterized via the singularities of the Laplace operator. Numerical results illustrate the influence of frequency of the ingoing electromagnetic waves in a L-shaped waveguide.

Original language	English
Title of host publication	Computational Science - ICCS 2007 - 7th International Conference, Proceedings
Pages	235-242
Number of pages	8
Edition	PART 4
DOIs	https://doi.org/10.1007/978-3-540-72590-9_34
State	Published - 2007
Event	7th International Conference on Computational Science, ICCS 2007 - Beijing, China Duration: 27 May 2007 → 30 May 2007

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Number	PART 4
Volume	4490 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	7th International Conference on Computational Science, ICCS 2007
Country/Territory	China
City	Beijing
Period	27/05/07 → 30/05/07

Access to Document

10.1007/978-3-540-72590-9_34

Cite this

Assous, F., & Ciarlet, P. (2007). Numerical solution to Maxwell's equations in singular waveguides. In Computational Science - ICCS 2007 - 7th International Conference, Proceedings (PART 4 ed., pp. 235-242). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4490 LNCS, No. PART 4). https://doi.org/10.1007/978-3-540-72590-9_34

@inproceedings{09187a2b3be74f00a5fbcfe30e3e13e7,

title = "Numerical solution to Maxwell's equations in singular waveguides",

abstract = "This paper is devoted to the numerical solution of the instationary Maxwell equations in singular waveguides. The geometry is called singular, as its boundary includes reentrant corners or edges, which generate, in their neighborhood, strong electromagnetic fields. We have built a method which allows to compute the time-dependent electromagnetic field, based on a splitting of the spaces of solutions: First, the subspace of regular fields, which coincides with the whole space of solutions, in the case of convex or smooth boundary; Second, a singular subspace, defined and characterized via the singularities of the Laplace operator. Numerical results illustrate the influence of frequency of the ingoing electromagnetic waves in a L-shaped waveguide.",

author = "Franck Assous and Patrick Ciarlet",

year = "2007",

doi = "10.1007/978-3-540-72590-9_34",

language = "אנגלית",

isbn = "9783540725893",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

number = "PART 4",

pages = "235--242",

booktitle = "Computational Science - ICCS 2007 - 7th International Conference, Proceedings",

edition = "PART 4",

note = "7th International Conference on Computational Science, ICCS 2007 ; Conference date: 27-05-2007 Through 30-05-2007",

}

Assous, F & Ciarlet, P 2007, Numerical solution to Maxwell's equations in singular waveguides. in Computational Science - ICCS 2007 - 7th International Conference, Proceedings. PART 4 edn, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 4, vol. 4490 LNCS, pp. 235-242, 7th International Conference on Computational Science, ICCS 2007, Beijing, China, 27/05/07. https://doi.org/10.1007/978-3-540-72590-9_34

Numerical solution to Maxwell's equations in singular waveguides. / Assous, Franck; Ciarlet, Patrick.
Computational Science - ICCS 2007 - 7th International Conference, Proceedings. PART 4. ed. 2007. p. 235-242 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4490 LNCS, No. PART 4).

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

TY - GEN

T1 - Numerical solution to Maxwell's equations in singular waveguides

AU - Assous, Franck

AU - Ciarlet, Patrick

PY - 2007

Y1 - 2007

N2 - This paper is devoted to the numerical solution of the instationary Maxwell equations in singular waveguides. The geometry is called singular, as its boundary includes reentrant corners or edges, which generate, in their neighborhood, strong electromagnetic fields. We have built a method which allows to compute the time-dependent electromagnetic field, based on a splitting of the spaces of solutions: First, the subspace of regular fields, which coincides with the whole space of solutions, in the case of convex or smooth boundary; Second, a singular subspace, defined and characterized via the singularities of the Laplace operator. Numerical results illustrate the influence of frequency of the ingoing electromagnetic waves in a L-shaped waveguide.

AB - This paper is devoted to the numerical solution of the instationary Maxwell equations in singular waveguides. The geometry is called singular, as its boundary includes reentrant corners or edges, which generate, in their neighborhood, strong electromagnetic fields. We have built a method which allows to compute the time-dependent electromagnetic field, based on a splitting of the spaces of solutions: First, the subspace of regular fields, which coincides with the whole space of solutions, in the case of convex or smooth boundary; Second, a singular subspace, defined and characterized via the singularities of the Laplace operator. Numerical results illustrate the influence of frequency of the ingoing electromagnetic waves in a L-shaped waveguide.

UR - http://www.scopus.com/inward/record.url?scp=38349035888&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-72590-9_34

DO - 10.1007/978-3-540-72590-9_34

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???

AN - SCOPUS:38349035888

SN - 9783540725893

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 235

EP - 242

BT - Computational Science - ICCS 2007 - 7th International Conference, Proceedings

T2 - 7th International Conference on Computational Science, ICCS 2007

Y2 - 27 May 2007 through 30 May 2007

ER -

Assous F, Ciarlet P. Numerical solution to Maxwell's equations in singular waveguides. In Computational Science - ICCS 2007 - 7th International Conference, Proceedings. PART 4 ed. 2007. p. 235-242. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); PART 4). doi: 10.1007/978-3-540-72590-9_34

Numerical solution to Maxwell's equations in singular waveguides

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this