Time-domain wave splitting of Maxwell's equations
(1991) In Technical Report LUTEDX/(TEAT-7016)/1-25/(1991)- Abstract
- Wave splitting of the time dependent Maxwell's equations
in three dimensions with and without dispersive terms in the constitutive
equation is treated. The procedure is similar to the method developed for
the scalar wave equation except as follows. The up-and down-going wave
condition is expressed in terms of a linear relation between the tangential
components of E and H. The resulting system of
differential-integral equations for the up-and down-going waves is directly
obtained from Maxwell's equations. This splitting (arising from the
principal part of Maxwell's equations) is applied to the case where there
is dispersion. A formal derivation of the imbedding... (More) - Wave splitting of the time dependent Maxwell's equations
in three dimensions with and without dispersive terms in the constitutive
equation is treated. The procedure is similar to the method developed for
the scalar wave equation except as follows. The up-and down-going wave
condition is expressed in terms of a linear relation between the tangential
components of E and H. The resulting system of
differential-integral equations for the up-and down-going waves is directly
obtained from Maxwell's equations. This splitting (arising from the
principal part of Maxwell's equations) is applied to the case where there
is dispersion. A formal derivation of the imbedding equation for the
reflection operator in a medium with no dispersion is obtained. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1659218
- author
- Weston, Vaughan H LU
- organization
- publishing date
- 1991
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7016)/1-25/(1991)
- pages
- 25 pages
- publisher
- [Publisher information missing]
- report number
- TEAT-7016
- language
- English
- LU publication?
- yes
- additional info
- Published version: J. Math. Phys., 34(4), 1370-1359, 1993.
- id
- 2fe569b7-074d-42aa-a2b2-2b53d4732abe (old id 1659218)
- date added to LUP
- 2016-04-04 12:53:37
- date last changed
- 2018-11-21 21:11:16
@techreport{2fe569b7-074d-42aa-a2b2-2b53d4732abe,
abstract = {{Wave splitting of the time dependent Maxwell's equations<br/><br>
in three dimensions with and without dispersive terms in the constitutive<br/><br>
equation is treated. The procedure is similar to the method developed for<br/><br>
the scalar wave equation except as follows. The up-and down-going wave<br/><br>
condition is expressed in terms of a linear relation between the tangential<br/><br>
components of E and H. The resulting system of<br/><br>
differential-integral equations for the up-and down-going waves is directly<br/><br>
obtained from Maxwell's equations. This splitting (arising from the<br/><br>
principal part of Maxwell's equations) is applied to the case where there<br/><br>
is dispersion. A formal derivation of the imbedding equation for the<br/><br>
reflection operator in a medium with no dispersion is obtained.}},
author = {{Weston, Vaughan H}},
institution = {{[Publisher information missing]}},
language = {{eng}},
number = {{TEAT-7016}},
series = {{Technical Report LUTEDX/(TEAT-7016)/1-25/(1991)}},
title = {{Time-domain wave splitting of Maxwell's equations}},
url = {{https://lup.lub.lu.se/search/files/6016263/1659225.pdf}},
year = {{1991}},
}