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The T-matrix for acoustic and electromagnetic scattering by circular disks

Kristensson, Gerhard LU and Waterman, Peter C. (1982) In Journal of the Acoustical Society of America 72(5). p.1612-1625
Abstract
The T matrix for scattering of waves by a circular disk is derived. Both the scalar (Dirichlet and Neumann boundary conditions) and the vector (perfectly conducting disk) cases are considered and the use of alternative choices for surface field functions is discussed in detail, and it is found that either type of the surface field representation is equally good for the disk case. Analytic expression of the farfield amplitude and total cross section is given in the low-frequency limit for both plane-wave incidence or a point source. Numerical results are presented for the two scalar cases as well as for the perfectly conducting disk. Finally, we give a computation of scattering from two parallel perfectly conducting disks.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of the Acoustical Society of America
volume
72
issue
5
pages
1612 - 1625
publisher
American Institute of Physics
external identifiers
  • Scopus:0020205097
ISSN
1520-8524
DOI
10.1121/1.388497
language
English
LU publication?
no
id
3a35a2de-3379-48c1-a577-76b887b74404 (old id 1041173)
date added to LUP
2008-03-03 12:19:35
date last changed
2016-11-06 04:28:47
@misc{3a35a2de-3379-48c1-a577-76b887b74404,
  abstract     = {The T matrix for scattering of waves by a circular disk is derived. Both the scalar (Dirichlet and Neumann boundary conditions) and the vector (perfectly conducting disk) cases are considered and the use of alternative choices for surface field functions is discussed in detail, and it is found that either type of the surface field representation is equally good for the disk case. Analytic expression of the farfield amplitude and total cross section is given in the low-frequency limit for both plane-wave incidence or a point source. Numerical results are presented for the two scalar cases as well as for the perfectly conducting disk. Finally, we give a computation of scattering from two parallel perfectly conducting disks.},
  author       = {Kristensson, Gerhard and Waterman, Peter C.},
  issn         = {1520-8524},
  language     = {eng},
  number       = {5},
  pages        = {1612--1625},
  publisher    = {ARRAY(0x84054f8)},
  series       = {Journal of the Acoustical Society of America},
  title        = {The T-matrix for acoustic and electromagnetic scattering by circular disks},
  url          = {http://dx.doi.org/10.1121/1.388497},
  volume       = {72},
  year         = {1982},
}