Wave splitting in the time domain for a radially symmetric geometry
(1990) In Wave Motion 12(3). p.197-211- Abstract
- A decomposition of the field of the wave equation in three dimensions is suggested.
This wave splitting decomposes the field into two components such
that in free space simple propagation properties are obtained. The inhomogeneous
region is assumed to have a phase velocity variation that varies only in
the radial coordinate r from the origin. The suggested wave splitting is a generalization
of the wave splitting concept in one spatial dimension. Specifically,
the propagation properties in free space in the three-dimensional wave splitting
are very analogous to the corresponding propagation properties in free
space in one dimension. The three-dimensional decomposition... (More) - A decomposition of the field of the wave equation in three dimensions is suggested.
This wave splitting decomposes the field into two components such
that in free space simple propagation properties are obtained. The inhomogeneous
region is assumed to have a phase velocity variation that varies only in
the radial coordinate r from the origin. The suggested wave splitting is a generalization
of the wave splitting concept in one spatial dimension. Specifically,
the propagation properties in free space in the three-dimensional wave splitting
are very analogous to the corresponding propagation properties in free
space in one dimension. The three-dimensional decomposition is illustrated
in an example of scattering by a sound-soft sphere of radius a. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/144386
- author
- Karlsson, Anders LU and Kristensson, Gerhard LU
- organization
- publishing date
- 1990
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Wave Motion
- volume
- 12
- issue
- 3
- pages
- 197 - 211
- publisher
- Elsevier
- external identifiers
-
- scopus:38249019341
- ISSN
- 0165-2125
- DOI
- 10.1016/0165-2125(90)90039-7
- language
- English
- LU publication?
- yes
- id
- db9e96db-4732-472f-8a2a-d89515373631 (old id 144386)
- date added to LUP
- 2016-04-01 17:13:50
- date last changed
- 2021-01-03 04:33:35
@article{db9e96db-4732-472f-8a2a-d89515373631,
abstract = {{A decomposition of the field of the wave equation in three dimensions is suggested.<br/><br>
This wave splitting decomposes the field into two components such<br/><br>
that in free space simple propagation properties are obtained. The inhomogeneous<br/><br>
region is assumed to have a phase velocity variation that varies only in<br/><br>
the radial coordinate r from the origin. The suggested wave splitting is a generalization<br/><br>
of the wave splitting concept in one spatial dimension. Specifically,<br/><br>
the propagation properties in free space in the three-dimensional wave splitting<br/><br>
are very analogous to the corresponding propagation properties in free<br/><br>
space in one dimension. The three-dimensional decomposition is illustrated<br/><br>
in an example of scattering by a sound-soft sphere of radius a.}},
author = {{Karlsson, Anders and Kristensson, Gerhard}},
issn = {{0165-2125}},
language = {{eng}},
number = {{3}},
pages = {{197--211}},
publisher = {{Elsevier}},
series = {{Wave Motion}},
title = {{Wave splitting in the time domain for a radially symmetric geometry}},
url = {{http://dx.doi.org/10.1016/0165-2125(90)90039-7}},
doi = {{10.1016/0165-2125(90)90039-7}},
volume = {{12}},
year = {{1990}},
}