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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 117, Pages 192–196 (Mi znsl3975)  
On descreteness of scattering eigenfrequences of periodic cascade

S. V. Sukhinin
Full-text PDF (268 kB)
Abstract: The paper deals with the problem on the plane wave scattering on a periodic structure. A great number of the scattering eigenfre.quences, i. e. the parameter values of the Helmholtz equation, for which there is the solution non-uniqueness, has been proved to be discrete on a certain Riemann surface with the help of analytical Fredholm theorem.
Bibliographic databases:
Document Type: Article
UDC: 517.9: 535.4
Language: Russian
Citation: S. V. Sukhinin, “On descreteness of scattering eigenfrequences of periodic cascade”, Mathematical problems in the theory of wave propagation. Part 12, Zap. Nauchn. Sem. LOMI, 117, "Nauka", Leningrad. Otdel., Leningrad, 1981, 192–196
Citation in format AMSBIB
\Bibitem{Suk81}
\by S.~V.~Sukhinin
\paper On descreteness of scattering eigenfrequences of periodic cascade
\inbook Mathematical problems in the theory of wave propagation. Part~12
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 117
\pages 192--196
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3975}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=647006}
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  • https://www.mathnet.ru/eng/znsl/v117/p192
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