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Nonlinear waveguides

Sjöberg, Daniel LU (2000) In Technical Report LUTEDX/(TEAT-7088)/1-26/(2000) TEAT-7088.
Abstract
We investigate the propagation of electromagnetic waves in a waveguide filled

with a nonlinear material. The electromagnetic field is expanded in the usual

eigenmodes of the waveguide, and the coupling between the modes is quanti

fied. We derive the wave equations governing each mode, with special emphasis

on the situation with a dominant TE-mode. The result is a strictly

hyperbolic system of nonlinear partial differential equations for the dominating

mode, whereas the minor modes satisfy hyperbolic systems of linear,

nonstationary, partial differential equations. A growth estimate is given for

the minor modes.
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author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7088)/1-26/(2000)
volume
TEAT-7088
pages
26 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
5eff59b3-57dc-428f-89af-dd1cae20c599 (old id 530572)
date added to LUP
2007-09-12 11:58:15
date last changed
2016-09-30 15:01:01
@techreport{5eff59b3-57dc-428f-89af-dd1cae20c599,
  abstract     = {We investigate the propagation of electromagnetic waves in a waveguide filled<br/><br>
with a nonlinear material. The electromagnetic field is expanded in the usual<br/><br>
eigenmodes of the waveguide, and the coupling between the modes is quanti<br/><br>
fied. We derive the wave equations governing each mode, with special emphasis<br/><br>
on the situation with a dominant TE-mode. The result is a strictly<br/><br>
hyperbolic system of nonlinear partial differential equations for the dominating<br/><br>
mode, whereas the minor modes satisfy hyperbolic systems of linear,<br/><br>
nonstationary, partial differential equations. A growth estimate is given for<br/><br>
the minor modes.},
  author       = {Sjöberg, Daniel},
  institution  = {[Publisher information missing]},
  language     = {eng},
  pages        = {26},
  series       = {Technical Report LUTEDX/(TEAT-7088)/1-26/(2000)},
  title        = {Nonlinear waveguides},
  volume       = {TEAT-7088},
  year         = {2000},
}