Physical-density integral equation methods for scattering from multi-dielectric cylinders
(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.
(Less)
- author
- Helsing, Johan LU and Karlsson, Anders LU
- organization
- publishing date
- 2019
- 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
- 2022-04-02 07:19:47
@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}},
keywords = {{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}},
doi = {{10.1016/j.jcp.2019.02.050}},
volume = {{387}},
year = {{2019}},
}