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Time-domain wave splitting of Maxwell's equations

Weston, Vaughan H LU (1991) In Technical Report LUTEDX/(TEAT-7016)/1-25/(1991) TEAT-7016.
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)
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in
Technical Report LUTEDX/(TEAT-7016)/1-25/(1991)
volume
TEAT-7016
pages
25 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
2fe569b7-074d-42aa-a2b2-2b53d4732abe (old id 1659218)
date added to LUP
2010-08-24 13:57:12
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2016-04-16 10:37:46
@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},
  pages        = {25},
  series       = {Technical Report LUTEDX/(TEAT-7016)/1-25/(1991)},
  title        = {Time-domain wave splitting of Maxwell's equations},
  volume       = {TEAT-7016},
  year         = {1991},
}