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, 2014, Volume 422, Pages 62–89 (Mi znsl5764)  
This article is cited in 7 scientific papers (total in 7 papers)

Diffraction by grating consisting of screens with different height: new equations

A. I. Korol'kov, A. V. Shanin

Lomonosov Moscow State University, Faculty of Physics, Moscow, Russia
Full-text PDF (433 kB) Citations (7)
References:
PDF
HTML
Abstract: A 2D problem of diffraction of a plane wave by a grating consisting of screens of different heights is studied. The incident wave travels at a grazing incidence angle. The consideration is held in the parabolic approximation. Screens are supposed to be perfectly absorbing. Edge Green's functions of the problem are introduced. Embedding formula and a spectral equation are proven. An OE-equation for the unknown coefficient of spectral equation is derived. An evolution equation which describes dependence of the edge Green's functions on geometrical parameter of problem(screen height) is derived. An asymptotic estimation of the reflection coefficient is obtained by using the evolution equation.
Key words and phrases: diffraction grating, absorbing screens, parabolic equation.
Received: 08.12.2013
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 206, Issue 3, Pages 270–287
DOI: https://doi.org/10.1007/s10958-015-2311-y
Bibliographic databases:
Document Type: Article
UDC: 534.26
Language: Russian
Citation: A. I. Korol'kov, A. V. Shanin, “Diffraction by grating consisting of screens with different height: new equations”, Mathematical problems in the theory of wave propagation. Part 43, Zap. Nauchn. Sem. POMI, 422, POMI, St. Petersburg, 2014, 62–89; J. Math. Sci. (N. Y.), 206:3 (2015), 270–287
Citation in format AMSBIB
\Bibitem{KorSha14}
\by A.~I.~Korol'kov, A.~V.~Shanin
\paper Diffraction by grating consisting of screens with different height: new equations
\inbook Mathematical problems in the theory of wave propagation. Part~43
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 422
\pages 62--89
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5764}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 206
\issue 3
\pages 270--287
\crossref{https://doi.org/10.1007/s10958-015-2311-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84953354779}
Linking options:
  • https://www.mathnet.ru/eng/znsl5764
  • https://www.mathnet.ru/eng/znsl/v422/p62
    • This publication is cited in the following 7 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:244
    Full-text PDF :62
    References:44
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024