Scattering by a biisotropic obstacle and the properties of the Beltrami spherical vector waves
(2024) In Mathematical Methods in the Applied Sciences- Abstract
- In this paper, we take a fresh look at the determination of the transition matrix for a homogeneous, biisotropic particle employing the Null-field approach. The condition for passivity of the material is discussed. In particular, we focus on some previously unproved properties of the Beltrami spherical vector waves, such as completeness, orthogonality, and linear independence, which are all instrumental in the analysis of the scattering problem with the Null-field approach. Some numerical examples illustrate the approach.
- Abstract (Swedish)
In this paper, we take a fresh look at the determination of the transition matrix
for a homogeneous, biisotropic particle employing the Null-field approach. The
condition for passivity of the material is discussed. In particular, we focus on
some previously unproved properties of the Beltrami spherical vector waves,
such as completeness, orthogonality, and linear independence, which are all
instrumental in the analysis of the scattering problem with the Null-field
approach. Some numerical examples illustrate the approach.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/bfad4c1c-fb36-4a55-b259-595836d25c76
- author
- Kristensson, Gerhard LU
- organization
- publishing date
- 2024
- type
- Contribution to journal
- publication status
- epub
- subject
- in
- Mathematical Methods in the Applied Sciences
- pages
- 18 pages
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- scopus:85186909085
- ISSN
- 1099-1476
- DOI
- 10.1002/mma.9966
- language
- English
- LU publication?
- yes
- id
- bfad4c1c-fb36-4a55-b259-595836d25c76
- date added to LUP
- 2024-02-29 13:26:44
- date last changed
- 2024-04-09 14:53:58
@article{bfad4c1c-fb36-4a55-b259-595836d25c76, abstract = {{In this paper, we take a fresh look at the determination of the transition matrix for a homogeneous, biisotropic particle employing the Null-field approach. The condition for passivity of the material is discussed. In particular, we focus on some previously unproved properties of the Beltrami spherical vector waves, such as completeness, orthogonality, and linear independence, which are all instrumental in the analysis of the scattering problem with the Null-field approach. Some numerical examples illustrate the approach.<br/><br/>}}, author = {{Kristensson, Gerhard}}, issn = {{1099-1476}}, language = {{eng}}, publisher = {{John Wiley & Sons Inc.}}, series = {{Mathematical Methods in the Applied Sciences}}, title = {{Scattering by a biisotropic obstacle and the properties of the Beltrami spherical vector waves}}, url = {{http://dx.doi.org/10.1002/mma.9966}}, doi = {{10.1002/mma.9966}}, year = {{2024}}, }