Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Scattering by a biisotropic obstacle and the properties of the Beltrami spherical vector waves

Kristensson, Gerhard LU (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:
author
organization
publishing date
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}},
}