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Wave splitting in the time domain for a radially symmetric geometry

Karlsson, Anders LU and Kristensson, Gerhard LU (1989) In Technical Report LUTEDX/(TEAT-7004)/1-19/(1989) TEAT-7004.
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:
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organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7004)/1-19/(1989)
volume
TEAT-7004
pages
19 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
865f5963-0bec-4319-b9f5-298f30f0b2df (old id 530165)
date added to LUP
2007-09-07 10:43:23
date last changed
2016-10-11 09:03:04
@misc{865f5963-0bec-4319-b9f5-298f30f0b2df,
  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},
  language     = {eng},
  pages        = {19},
  publisher    = {ARRAY(0x99ee8b0)},
  series       = {Technical Report LUTEDX/(TEAT-7004)/1-19/(1989)},
  title        = {Wave splitting in the time domain for a radially symmetric geometry},
  volume       = {TEAT-7004},
  year         = {1989},
}