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Stabilization of Evanescent Wave Propagation Operators

Andersson, Michael LU ; Sjoberg, Daniel LU orcid and Kristensson, Gerhard LU (2023) In Progress In Electromagnetics Research B 101. p.17-44
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 re ection 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 re ection 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 re ection dyadic for a bianisotropic slab with perfect electric conductor backing (PEC). Several numerical examples that illustrate the performance of the stabilized algorithm are presented.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Progress In Electromagnetics Research B
volume
101
pages
28 pages
publisher
Electromagnetics Academy
external identifiers
  • scopus:85167866904
ISSN
1937-6472
DOI
10.2528/PIERB23041602
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2023, Progress In Electromagnetics Research B. All Rights Reserved.
id
324e2c3c-ac14-494f-8298-2c75e8fa8984
date added to LUP
2023-09-28 13:05:35
date last changed
2023-10-12 10:18:19
@article{324e2c3c-ac14-494f-8298-2c75e8fa8984,
  abstract     = {{<p>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 re ection 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 re ection dyadic for a bianisotropic slab with perfect electric conductor backing (PEC). Several numerical examples that illustrate the performance of the stabilized algorithm are presented.</p>}},
  author       = {{Andersson, Michael and Sjoberg, Daniel and Kristensson, Gerhard}},
  issn         = {{1937-6472}},
  language     = {{eng}},
  pages        = {{17--44}},
  publisher    = {{Electromagnetics Academy}},
  series       = {{Progress In Electromagnetics Research B}},
  title        = {{Stabilization of Evanescent Wave Propagation Operators}},
  url          = {{http://dx.doi.org/10.2528/PIERB23041602}},
  doi          = {{10.2528/PIERB23041602}},
  volume       = {{101}},
  year         = {{2023}},
}