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Physical-density integral equation methods for scattering from multi-dielectric cylinders

Helsing, Johan LU and Karlsson, Anders LU (2019) In Journal of Computational Physics 387. p.14-29
Abstract

An integral equation-based numerical method for scattering from multi-dielectric cylinders is presented. Electromagnetic fields are represented via layer potentials in terms of surface densities with physical interpretations. The existence of null-field representations then adds superior flexibility to the modeling. Local representations are used for fast field evaluation at points away from their sources. Partially global representations, constructed as to reduce the strength of kernel singularities, are used for near-evaluations. A mix of local- and partially global representations is also used to derive the system of integral equations from which the physical densities are solved. Unique solvability is proven for the special case of... (More)

An integral equation-based numerical method for scattering from multi-dielectric cylinders is presented. Electromagnetic fields are represented via layer potentials in terms of surface densities with physical interpretations. The existence of null-field representations then adds superior flexibility to the modeling. Local representations are used for fast field evaluation at points away from their sources. Partially global representations, constructed as to reduce the strength of kernel singularities, are used for near-evaluations. A mix of local- and partially global representations is also used to derive the system of integral equations from which the physical densities are solved. Unique solvability is proven for the special case of scattering from a homogeneous cylinder under rather general conditions. High achievable accuracy is demonstrated for several examples found in the literature.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Corner singularity, Helmholtz equation, Multiple material interface, Scattering, Transmission boundary condition
in
Journal of Computational Physics
volume
387
pages
16 pages
publisher
Elsevier
external identifiers
  • scopus:85062835234
ISSN
0021-9991
DOI
10.1016/j.jcp.2019.02.050
language
English
LU publication?
yes
id
e68b3ba4-2f22-4a96-b6ec-de3db4e88d53
date added to LUP
2019-03-21 08:29:04
date last changed
2019-03-21 08:29:04
@article{e68b3ba4-2f22-4a96-b6ec-de3db4e88d53,
  abstract     = {<p>An integral equation-based numerical method for scattering from multi-dielectric cylinders is presented. Electromagnetic fields are represented via layer potentials in terms of surface densities with physical interpretations. The existence of null-field representations then adds superior flexibility to the modeling. Local representations are used for fast field evaluation at points away from their sources. Partially global representations, constructed as to reduce the strength of kernel singularities, are used for near-evaluations. A mix of local- and partially global representations is also used to derive the system of integral equations from which the physical densities are solved. Unique solvability is proven for the special case of scattering from a homogeneous cylinder under rather general conditions. High achievable accuracy is demonstrated for several examples found in the literature.</p>},
  author       = {Helsing, Johan and Karlsson, Anders},
  issn         = {0021-9991},
  keyword      = {Corner singularity,Helmholtz equation,Multiple material interface,Scattering,Transmission boundary condition},
  language     = {eng},
  pages        = {14--29},
  publisher    = {Elsevier},
  series       = {Journal of Computational Physics},
  title        = {Physical-density integral equation methods for scattering from multi-dielectric cylinders},
  url          = {http://dx.doi.org/10.1016/j.jcp.2019.02.050},
  volume       = {387},
  year         = {2019},
}