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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 173–179 (Mi znsl1006)  
This article is cited in 4 scientific papers (total in 4 papers)

Resonant phenomena in slowly irregular rectangular waveguides

A. P. Itin, A. I. Neishtadt, A. A. Vasil'ev

Space Research Institute, Russian Academy of Sciences
Full-text PDF (139 kB) Citations (4)
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Abstract: The waveguide with a rectangular cross section of size and orientation slowly changing along the waveguide's length is considered. Methods of the canonical perturbation theory to describe the ray dynamics in the waveguide are used. As the size and orientation of cross section slowly changes along the ray trajectory, certain resonance conditions can be satisfied. The phenomena of scattering on a resonance and capture into a resonance is studied. These phenomena lead to destruction of adiabatic invariance in the system.
Received: 30.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2778–2781
DOI: https://doi.org/10.1007/s10958-005-0230-z
Bibliographic databases:
UDC: 531.36 : 534.1+621.372.8
Language: English
Citation: A. P. Itin, A. I. Neishtadt, A. A. Vasil'ev, “Resonant phenomena in slowly irregular rectangular waveguides”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 173–179; J. Math. Sci. (N. Y.), 128:2 (2005), 2778–2781
Citation in format AMSBIB
\Bibitem{ItiNeiVas03}
\by A.~P.~Itin, A.~I.~Neishtadt, A.~A.~Vasil'ev
\paper Resonant phenomena in slowly irregular rectangular waveguides
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 173--179
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1006}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1993035}
\zmath{https://zbmath.org/?q=an:1117.78321}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2778--2781
\crossref{https://doi.org/10.1007/s10958-005-0230-z}
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  • https://www.mathnet.ru/eng/znsl/v300/p173
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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