| 1. |
- Andersson, Michael, et al.
(författare)
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Stabilization of evanescent wave propagation operators
- 2022
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Rapport (övrigt vetenskapligt/konstnärligt)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.
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| 2. |
- Andersson, Michael, et al.
(författare)
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Stabilization of Evanescent Wave Propagation Operators
- 2023
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Ingår i: Progress In Electromagnetics Research B. - 1937-6472. ; 101, s. 17-44
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Tidskriftsartikel (refereegranskat)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 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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| 3. |
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| 4. |
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| 5. |
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| 6. |
- Rikte, Sten, et al.
(författare)
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Homogenization of woven materials
- 1999
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Ingår i: AEÜ - International Journal of Electronics and Communications. - 1618-0399. ; 53:5, s. 261-271
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Tidskriftsartikel (refereegranskat)abstract
- The effective electric and magnetic material properties of a complex (two-component) mixture are addressed. The mixture is periodic in two directions and has a finite thickness in the third direction. Specifically, the explicit problem of finding the effective electric parameters for slab that has been reinforced by a layer (or several layers) of glass fiber is investigated. The homogenization problem is solved by a series expansion (multiple-scale technique), and the numerical solution of the two-dimensional vector-valued problem is found by a FEM formulation. The FEM problem is non-standard due to the periodic boundary conditions of the problem. Several numerical computations show that the most important parameter of the effective permittivity is the volume fraction of the guest material in the host.
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| 7. |
- Rikte, Sten, et al.
(författare)
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Homogenization of woven materials
- 1998
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- The effective electric and magnetic material properties of a complex (twocomponent) mixture are addressed. The mixture is periodic in two directions and has a finite thickness in the third direction. Specifically,the explicit problem of finding the effective electric parameters for slab that has been reinforced by a layer (or several layers) of glass fiber is investigated. The homogenization problem is solved by a series expansion (multiple-scale technique),and the numerical solution of the two-dimensional vector-valued problem is found by a FEM formulation. The FEM problem is non-standard due to the periodic boundary conditions of the problem. Several numerical computations show that the most important parameter of the effective permittivity is the volume fraction of the guest material in the host. The reflection and transmission properties of the homogenized material are also addressed.
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| 8. |
- Rikte, Sten, et al.
(författare)
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Propagation in bianisotropic media-reflection and transmission
- 2001
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Ingår i: IEE Proceedings - Microwaves Antennas and Propagation. - : Institution of Engineering and Technology (IET). - 1350-2417. ; 148:1, s. 29-36
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Tidskriftsartikel (refereegranskat)abstract
- A systematic analysis for solving the wave propagation problem in a general bianisotropic, stratified medium is presented. The method utilises the concept of propagators, and the representation of these operators is simplified by introducing the Cayley-Hamilton theorem. The propagators propagate the total tangential electric and magnetic fields in the slab and only outside the slab do the up- and down-going parts of the fields need to be identified. This procedure makes the physical interpretation of the theory intuitive. The reflection and the transmission dyadics for a general bianisotropic medium with an isotropic (vacuum) half-space on both sides of the slab are presented in a co-ordinate-independent dyadic notation, as well as the reflection dyadic for a bianisotropic slab with perfectly electric backing (PEC). In the latter case the current on the metal backing is also given. Some numerical computations that illustrate the algorithm are presented
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| 9. |
- Rikte, Sten, et al.
(författare)
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Propagation in bianisotropic media - reflection and transmission
- 1998
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- In this paper a systematic analysis that solves the wave propagation problem in a general bianisotropic, stratified media is presented. The method utilizes the concept of propagators, and the representation of these operators is simpli- fied by introducing the Cayley-Hamilton theorem. The propagators propagate the total tangential electric and magnetic fields in the slab and only outside the slab the up/down-going parts of the fields need to be identified. This procedure makes the physical interpretation of the theory intuitive. The re- flection and the transmission dyadics for a general bianisotropic medium with an isotropic (vacuum) 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 perfectly electric backing (PEC). In the latter case the current on the metal backing is also given. Some numerical computations that illustrate the algorithm are presented.
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| 10. |
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