Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2000, Volume 264, Pages 7–21 (Mi znsl1149)  
This article is cited in 4 scientific papers (total in 5 papers)

Scattering of a highfrequency wave by the vertex of an arbitrary cone. (Singular directions.)

V. M. Babicha, D. B. Dement'evb, B. A. Samokishb, V. P. Smyshlyaeva

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (241 kB) Citations (5)
Abstract: A new approach to the obtaining of the analytical expression for the wave scattered by an arbitrary cone vertex in the singular directions is considered. The spherical front of the wave, propagating from the vertex of the cone tangents the front of the wave, reflected by the cone surface in this “singular” directions. The wave field is expressed in the terms of the parabolic cylinder functions.
Received: 09.09.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 111, Issue 4, Pages 3623–3631
DOI: https://doi.org/10.1023/A:1016316406102
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: V. M. Babich, D. B. Dement'ev, B. A. Samokish, V. P. Smyshlyaev, “Scattering of a highfrequency wave by the vertex of an arbitrary cone. (Singular directions.)”, Mathematical problems in the theory of wave propagation. Part 29, Zap. Nauchn. Sem. POMI, 264, POMI, St. Petersburg, 2000, 7–21; J. Math. Sci. (New York), 111:4 (2002), 3623–3631
Citation in format AMSBIB
\Bibitem{BabDemSam00}
\by V.~M.~Babich, D.~B.~Dement'ev, B.~A.~Samokish, V.~P.~Smyshlyaev
\paper Scattering of a highfrequency wave by the vertex of an arbitrary cone. (Singular directions.)
\inbook Mathematical problems in the theory of wave propagation. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 264
\pages 7--21
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1149}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1797000}
\zmath{https://zbmath.org/?q=an:1003.78006}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 111
\issue 4
\pages 3623--3631
\crossref{https://doi.org/10.1023/A:1016316406102}
Linking options:
  • https://www.mathnet.ru/eng/znsl1149
  • https://www.mathnet.ru/eng/znsl/v264/p7
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:339
    Full-text PDF :100
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024