On a Helmholtz transmission problem in planar domains with corners

Johan Helsing; Anders Karlsson

doi:10.1016/j.jcp.2018.05.044

On a Helmholtz transmission problem in planar domains with corners

Research output: Contribution to journal › Article › peer-review

Abstract

A particular mix of integral equations and discretization techniques is suggested for the solution of a planar Helmholtz transmission problem with relevance to the study of surface plasmon waves. The transmission problem describes the scattering of a time-harmonic transverse magnetic wave from an infinite dielectric cylinder with complex permittivity and sharp edges. Numerical examples illustrate that the resulting scheme is capable of obtaining total magnetic and electric fields to very high accuracy in the entire computational domain.

Original language	English
Pages (from-to)	315-332
Number of pages	18
Journal	Journal of Computational Physics
Volume	371
DOIs	https://doi.org/10.1016/j.jcp.2018.05.044
Publication status	Published - 2018 Oct 15

Subject classification (UKÄ)

Computational Mathematics
Other Physics Topics

Free keywords

Corner singularity
Helmholtz equation
Nyström discretization
Scattering
Surface plasmon wave

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10.1016/j.jcp.2018.05.044

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abstract = "A particular mix of integral equations and discretization techniques is suggested for the solution of a planar Helmholtz transmission problem with relevance to the study of surface plasmon waves. The transmission problem describes the scattering of a time-harmonic transverse magnetic wave from an infinite dielectric cylinder with complex permittivity and sharp edges. Numerical examples illustrate that the resulting scheme is capable of obtaining total magnetic and electric fields to very high accuracy in the entire computational domain.",

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author = "Johan Helsing and Anders Karlsson",

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doi = "10.1016/j.jcp.2018.05.044",

language = "English",

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AU - Karlsson, Anders

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N2 - A particular mix of integral equations and discretization techniques is suggested for the solution of a planar Helmholtz transmission problem with relevance to the study of surface plasmon waves. The transmission problem describes the scattering of a time-harmonic transverse magnetic wave from an infinite dielectric cylinder with complex permittivity and sharp edges. Numerical examples illustrate that the resulting scheme is capable of obtaining total magnetic and electric fields to very high accuracy in the entire computational domain.

AB - A particular mix of integral equations and discretization techniques is suggested for the solution of a planar Helmholtz transmission problem with relevance to the study of surface plasmon waves. The transmission problem describes the scattering of a time-harmonic transverse magnetic wave from an infinite dielectric cylinder with complex permittivity and sharp edges. Numerical examples illustrate that the resulting scheme is capable of obtaining total magnetic and electric fields to very high accuracy in the entire computational domain.

KW - Corner singularity

KW - Helmholtz equation

KW - Nyström discretization

KW - Scattering

KW - Surface plasmon wave

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DO - 10.1016/j.jcp.2018.05.044

M3 - Article

AN - SCOPUS:85048160202

SN - 0021-9991

VL - 371

SP - 315

EP - 332

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

On a Helmholtz transmission problem in planar domains with corners

Abstract

Subject classification (UKÄ)

Free keywords

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