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Matematicheskie Zametki, 2008, Volume 84, Issue 3, Pages 348–364
DOI: https://doi.org/10.4213/mzm5539 (Mi mzm5539) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Change of the Ray Propagation Mode in Smoothly Irregular Waveguides

I. V. Gorelysheva, A. I. Neishtadtab

a Space Research Institute, Russian Academy of Sciences
b Department of Mathematical Sciences, Loughborough University
Full-text PDF (536 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm5539
Abstract: We study the ray propagation path in a plane smoothly irregular waveguide. The following two modes of ray propagation are possible: with reflections and without reflections from the waveguide walls. In each of these modes, the problem has an adiabatic invariant. We obtain an asymptotic formula for the value of the adiabatic invariant jump as the propagation mode changes.
Keywords: geometrical optics, ray propagation, plane irregular waveguide, adiabatic invariant, action variable, separatrix, quasi-random jump.
Received: 17.12.2007
Revised: 04.02.2008
English version:
Mathematical Notes, 2008, Volume 84, Issue 3, Pages 328–341
DOI: https://doi.org/10.1134/S0001434608090034
Bibliographic databases:
UDC: 51-73, 535.31
Language: Russian
Citation: I. V. Gorelyshev, A. I. Neishtadt, “Change of the Ray Propagation Mode in Smoothly Irregular Waveguides”, Mat. Zametki, 84:3 (2008), 348–364; Math. Notes, 84:3 (2008), 328–341
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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