Stabilization of evanescent wave propagation operators
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/10de1033-2db6-4451-a794-a77e6b2b1138
- author
- Andersson, Michael LU ; Sjöberg, Daniel LU and Kristensson, Gerhard LU
- organization
- publishing date
- 2022
- 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}}, }