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Integral Equation Approach for the Propagation of TE-Waves in a Nonlinear Dielectric Cylindrical Waveguide
2004 (English)In: J. Nonlin. Math. PhysArticle in journal (Refereed)
Abstract [en]

The propagation of TE-polarized electromagnetic

waves along a Kerr-type nonlinear dielectric, nonabsorbing, nonmagnetic, and isotropic (circular) cylindrical waveguide is investigated. For axially (azimuthal) symmetric solutions the problem is reduced to a cubic-nonlinear integral equation that is solved by iteration leading to a sequence uniformly convergent to

the solution of the integral equation.

The dispersion relations associated to the exact and iterate solutions, respectively, are derived and solved. The roots of the exact dispersion relation are approximated by the roots of the dispersion relations

generated by the iterate solutions.

The existence of both exact and approsimate solutions is proved using contraction.

and convergence

Place, publisher, year, edition, pages
2004.
Keywords [en]
cubic-nonlinear integral equation, Kerr-type dielectric medium, waveguide
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-20434OAI: oai:DiVA.org:kau-20434DiVA, id: diva2:594094
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2016-06-09

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Other links

http://www.sm.luth.se/math/JNMPhttp://www.sm.luth.se/~norbert/home_journal/electronic/112art8.pdf

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Shestopalov, Youri

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