Advanced

Nonlinear waveguides

Sjöberg, Daniel LU (2003) In Radio Science 38(2). p.8019-8019
Abstract
We investigate the propagation of electromagnetic waves in a cylindrical waveguide with an arbitrary cross section filled with a nonlinear material. The electromagnetic field is expanded in the usual eigenmodes of the waveguide, and the coupling between the modes is quantified. 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, and partial differential equations. A growth estimate is given for the minor modes.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Radio Science
volume
38
issue
2
pages
8019 - 8019
publisher
American Geophysical Union
external identifiers
  • wos:000182595800003
ISSN
0048-6604
DOI
10.1029/2001RS002579
language
English
LU publication?
yes
id
26df4298-5a72-4ac0-b200-525a1a1f577f (old id 143195)
date added to LUP
2007-07-11 09:12:21
date last changed
2018-10-03 12:09:10
@article{26df4298-5a72-4ac0-b200-525a1a1f577f,
  abstract     = {We investigate the propagation of electromagnetic waves in a cylindrical waveguide with an arbitrary cross section filled with a nonlinear material. The electromagnetic field is expanded in the usual eigenmodes of the waveguide, and the coupling between the modes is quantified. 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, and partial differential equations. A growth estimate is given for the minor modes.},
  author       = {Sjöberg, Daniel},
  issn         = {0048-6604},
  language     = {eng},
  number       = {2},
  pages        = {8019--8019},
  publisher    = {American Geophysical Union},
  series       = {Radio Science},
  title        = {Nonlinear waveguides},
  url          = {http://dx.doi.org/10.1029/2001RS002579},
  volume       = {38},
  year         = {2003},
}