Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{GorNei08}
\by I.~V.~Gorelyshev, A.~I.~Neishtadt
\paper Change of the Ray Propagation Mode in Smoothly Irregular Waveguides
\jour Mat. Zametki
\yr 2008
\vol 84
\issue 3
\pages 348--364
\mathnet{http://mi.mathnet.ru/mzm5539}
\crossref{https://doi.org/10.4213/mzm5539}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2473752}
\zmath{https://zbmath.org/?q=an:1157.78301}
\elib{https://elibrary.ru/item.asp?id=11161439}
\transl
\jour Math. Notes
\yr 2008
\vol 84
\issue 3
\pages 328--341
\crossref{https://doi.org/10.1134/S0001434608090034}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000260516700003}
\elib{https://elibrary.ru/item.asp?id=13595366}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55149091200}
Linking options:
  • https://www.mathnet.ru/eng/mzm5539
  • https://doi.org/10.4213/mzm5539
  • https://www.mathnet.ru/eng/mzm/v84/i3/p348
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024