Transparent-influx boundary conditions for FEM based modelling of 2D Helmholtz problems in optics

J.B. Nicolau; Embrecht W.C. van Groesen; Manfred Hammer

Transparent-influx boundary conditions for FEM based modelling of 2D Helmholtz problems in optics

J.B. Nicolau, Embrecht W.C. van Groesen, Manfred Hammer

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

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Abstract

A numerical method for the analysis of the 2D Helmholtz equation is presented, which incorporates Transparent-Influx Boundary Conditions into a variational formulation of the Helmholtz problem. For rectangular geometries, the non-locality of those boundaries can be efficiently handled by using Fourier decomposition. The Finite Element Method is used to discretize the interior and the nonlocal Dirichlet-to-Neumann operators arising from the formulation of Transparent-Influx Boundary Conditions.

Original language	Undefined
Title of host publication	Proceedings of the 12th International Workshop on Optical Waveguide Theory and Numerical Modelling (OWTNM)
Place of Publication	Ghent
Publisher	Ghent University
Pages	26-26
Number of pages	1
ISBN (Print)	9076546037
Publication status	Published - Mar 2004
Event	12th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2004 - Ghent, Belgium Duration: 22 Mar 2004 → 23 Mar 2004 Conference number: 12 https://www.owtnm-workshop.org/

Conference

Conference	12th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2004
Abbreviated title	OWTNM
Country/Territory	Belgium
City	Ghent
Period	22/03/04 → 23/03/04
Internet address	https://www.owtnm-workshop.org/

Keywords

Dirichlet-to-Neumann operator
IR-47540
Helmholtz problems
EWI-13948
METIS-218095
TIBCs
FEM

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Cite this

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title = "Transparent-influx boundary conditions for FEM based modelling of 2D Helmholtz problems in optics",

abstract = "A numerical method for the analysis of the 2D Helmholtz equation is presented, which incorporates Transparent-Influx Boundary Conditions into a variational formulation of the Helmholtz problem. For rectangular geometries, the non-locality of those boundaries can be efficiently handled by using Fourier decomposition. The Finite Element Method is used to discretize the interior and the nonlocal Dirichlet-to-Neumann operators arising from the formulation of Transparent-Influx Boundary Conditions.",

keywords = "Dirichlet-to-Neumann operator, IR-47540, Helmholtz problems, EWI-13948, METIS-218095, TIBCs, FEM",

author = "J.B. Nicolau and {van Groesen}, {Embrecht W.C.} and Manfred Hammer",

year = "2004",

month = mar,

language = "Undefined",

isbn = "9076546037",

pages = "26--26",

booktitle = "Proceedings of the 12th International Workshop on Optical Waveguide Theory and Numerical Modelling (OWTNM)",

publisher = "Ghent University",

address = "Belgium",

note = "12th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2004 ; Conference date: 22-03-2004 Through 23-03-2004",

url = "https://www.owtnm-workshop.org/",

}

Nicolau, JB, van Groesen, EWC & Hammer, M 2004, Transparent-influx boundary conditions for FEM based modelling of 2D Helmholtz problems in optics. in Proceedings of the 12th International Workshop on Optical Waveguide Theory and Numerical Modelling (OWTNM). Ghent University, Ghent, pp. 26-26, 12th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2004, Ghent, Belgium, 22/03/04.

Transparent-influx boundary conditions for FEM based modelling of 2D Helmholtz problems in optics. / Nicolau, J.B.; van Groesen, Embrecht W.C.; Hammer, Manfred.
Proceedings of the 12th International Workshop on Optical Waveguide Theory and Numerical Modelling (OWTNM). Ghent: Ghent University, 2004. p. 26-26.

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

TY - GEN

T1 - Transparent-influx boundary conditions for FEM based modelling of 2D Helmholtz problems in optics

AU - Nicolau, J.B.

AU - van Groesen, Embrecht W.C.

AU - Hammer, Manfred

N1 - Conference code: 12

PY - 2004/3

Y1 - 2004/3

N2 - A numerical method for the analysis of the 2D Helmholtz equation is presented, which incorporates Transparent-Influx Boundary Conditions into a variational formulation of the Helmholtz problem. For rectangular geometries, the non-locality of those boundaries can be efficiently handled by using Fourier decomposition. The Finite Element Method is used to discretize the interior and the nonlocal Dirichlet-to-Neumann operators arising from the formulation of Transparent-Influx Boundary Conditions.

AB - A numerical method for the analysis of the 2D Helmholtz equation is presented, which incorporates Transparent-Influx Boundary Conditions into a variational formulation of the Helmholtz problem. For rectangular geometries, the non-locality of those boundaries can be efficiently handled by using Fourier decomposition. The Finite Element Method is used to discretize the interior and the nonlocal Dirichlet-to-Neumann operators arising from the formulation of Transparent-Influx Boundary Conditions.

KW - Dirichlet-to-Neumann operator

KW - IR-47540

KW - Helmholtz problems

KW - EWI-13948

KW - METIS-218095

KW - TIBCs

KW - FEM

M3 - Conference contribution

SN - 9076546037

SP - 26

EP - 26

BT - Proceedings of the 12th International Workshop on Optical Waveguide Theory and Numerical Modelling (OWTNM)

PB - Ghent University

CY - Ghent

T2 - 12th International Workshop on Optical Waveguide Theory and Numerical Modelling, OWTNM 2004

Y2 - 22 March 2004 through 23 March 2004

ER -