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Scattering computations using a rotationally symmetric solver implemented in open source finite elements

Sjöberg, Daniel LU orcid (2025) In Technical Report
Abstract
We summarize the theory and implementation of an open source solver for rotationally symmetric scatterers. The purpose of the code is to compute reference solutions for electrically large radome problems. The rotational symmetry decouples the azimuthal modes, enabling the three-dimensional problem to be broken down into a sequence of decoupled two-dimensional problems which require much less memory than the original problem. The code is based on the open source finite elements code FEniCSx, which also supports parallelization using MPI, allowing further scaling of the problem size. The developed code can handle excitation as incident plane waves or a transmitting antenna, and can output near field data for visualization as well as far... (More)
We summarize the theory and implementation of an open source solver for rotationally symmetric scatterers. The purpose of the code is to compute reference solutions for electrically large radome problems. The rotational symmetry decouples the azimuthal modes, enabling the three-dimensional problem to be broken down into a sequence of decoupled two-dimensional problems which require much less memory than the original problem. The code is based on the open source finite elements code FEniCSx, which also supports parallelization using MPI, allowing further scaling of the problem size. The developed code can handle excitation as incident plane waves or a transmitting antenna, and can output near field data for visualization as well as far field data in cuts or projected on spherical vector wave expansions for further post processing. The performance is verified for Mie scattering agains metal and dielectric spheres, and a realistic radome geometry is simulated and discussed. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report
pages
32 pages
publisher
Electromagnetic Theory Department of Electrical and Information Technology Lund University Sweden
report number
TEAT-7284
ISSN
1101-3931
language
English
LU publication?
yes
additional info
This is an author produced preprint version as part of a technical report series from the Electromagnetic Theory group at Lund University, Sweden. Homepage https://www.eit.lth.se and https://portal.research.lu.se
id
53a476eb-2a27-465b-b7ec-e6035240af51
date added to LUP
2025-08-11 11:35:25
date last changed
2025-09-24 14:23:29
@techreport{53a476eb-2a27-465b-b7ec-e6035240af51,
  abstract     = {{We summarize the theory and implementation of an open source solver for rotationally symmetric scatterers. The purpose of the code is to compute reference solutions for electrically large radome problems. The rotational symmetry decouples the azimuthal modes, enabling the three-dimensional problem to be broken down into a sequence of decoupled two-dimensional problems which require much less memory than the original problem. The code is based on the open source finite elements code FEniCSx, which also supports parallelization using MPI, allowing further scaling of the problem size. The developed code can handle excitation as incident plane waves or a transmitting antenna, and can output near field data for visualization as well as far field data in cuts or projected on spherical vector wave expansions for further post processing. The performance is verified for Mie scattering agains metal and dielectric spheres, and a realistic radome geometry is simulated and discussed.}},
  author       = {{Sjöberg, Daniel}},
  institution  = {{Electromagnetic Theory Department of Electrical and Information Technology Lund University Sweden}},
  issn         = {{1101-3931}},
  language     = {{eng}},
  month        = {{07}},
  number       = {{TEAT-7284}},
  series       = {{Technical Report}},
  title        = {{Scattering computations using a rotationally symmetric solver implemented in open source finite elements}},
  url          = {{https://lup.lub.lu.se/search/files/225138439/TEAT-7284.pdf}},
  year         = {{2025}},
}