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Stabilization of evanescent wave propagation operators

Andersson, Michael LU ; Sjöberg, Daniel LU orcid and Kristensson, Gerhard LU (2022) In Technical Report LUTEDX/(TEAT-7274)/1-35/(2022)
Abstract (Swedish)
This paper presents a stabilized scheme that solves the wave propagation problem in a general bianisotropic, stratified medium. The method utilizes the concept of propagators, i.e., the wave propagation operators that map the total tangential electric and magnetic fields from one plane in the slab to another. The scheme transforms the propagator approach into a scattering matrix form, where a spectral decomposition of the propagator enables separation of the exponentially growing and decaying terms in order to obtain a well-conditioned formulation. Multilayer structures can be handled in a stable manner using the dissipative property of the Redheffer star product for cascading scattering matrices. The reflection and transmission dyadics... (More)
This paper presents a stabilized scheme that solves the wave propagation problem in a general bianisotropic, stratified medium. The method utilizes the concept of propagators, i.e., the wave propagation operators that map the total tangential electric and magnetic fields from one plane in the slab to another. The scheme transforms the propagator approach into a scattering matrix form, where a spectral decomposition of the propagator enables separation of the exponentially growing and decaying terms in order to obtain a well-conditioned formulation. Multilayer structures can be handled in a stable manner using the dissipative property of the Redheffer star product for cascading scattering matrices. The reflection and transmission dyadics for a general bianisotropic medium with an isotropic half space on both sides of the slab are presented in a coordinate-independent dyadic notation, as well as the reflection dyadic for a bianisotropic slab with perfect electric conductor backing (PEC). Several numerical examples that illustrate the performance of the stabilized algorithm are presented. (Less)
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author
; and
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publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7274)/1-35/(2022)
pages
35 pages
publisher
Electromagnetic Theory Department of Electrical and Information Technology Lund University Sweden
report number
7274
language
English
LU publication?
yes
id
10de1033-2db6-4451-a794-a77e6b2b1138
date added to LUP
2023-04-11 11:34:05
date last changed
2023-04-11 14:52:23
@techreport{10de1033-2db6-4451-a794-a77e6b2b1138,
  abstract     = {{This paper presents a stabilized scheme that solves the wave propagation problem in a general bianisotropic, stratified medium. The method utilizes the concept of propagators, i.e., the wave propagation operators that map the total tangential electric and magnetic fields from one plane in the slab to another. The scheme transforms the propagator approach into a scattering matrix form, where a spectral decomposition of the propagator enables separation of the exponentially growing and decaying terms in order to obtain a well-conditioned formulation. Multilayer structures can be handled in a stable manner using the dissipative property of the Redheffer star product for cascading scattering matrices. The reflection and transmission dyadics for a general bianisotropic medium with an isotropic half space on both sides of the slab are presented in a coordinate-independent dyadic notation, as well as the reflection  dyadic for a bianisotropic slab with perfect electric conductor backing (PEC). Several numerical examples that illustrate the performance of the stabilized algorithm are presented.}},
  author       = {{Andersson, Michael and Sjöberg, Daniel and Kristensson, Gerhard}},
  institution  = {{Electromagnetic Theory Department of Electrical and Information Technology Lund University Sweden}},
  language     = {{eng}},
  number       = {{7274}},
  series       = {{Technical Report LUTEDX/(TEAT-7274)/1-35/(2022)}},
  title        = {{Stabilization of evanescent wave propagation operators}},
  url          = {{https://lup.lub.lu.se/search/files/143664708/TEAT_7274.pdf}},
  year         = {{2022}},
}