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Nonlinear waveguides

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Author

Summary, in English

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.

Publishing year

2000

Language

English

Publication/Series

Technical Report LUTEDX/(TEAT-7088)/1-26/(2000)

Document type

Report

Publisher

[Publisher information missing]

Topic

  • Other Electrical Engineering, Electronic Engineering, Information Engineering
  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Report number

TEAT-7088

Research group

  • Electromagnetic theory