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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 275, Pages 105–131 (Mi znsl1396)  
The matrix of the transforming of vibration waves

D. P. Kouzova, G. L. Nikitinb, V. G. Yakovlevac

a State Marine Technical University of St. Petersburg
b Military Technical University
c Chuvash State University
Full-text PDF (294 kB)
Abstract: Scattering of the linear vibration waves on a nodal junction of elastic plates is considered. For description of transforming (transmission, reflection, refraction and transformation into other types) of such waves we use the transformation matrix. We have proved for this matrix some usual properties related with the reciprocity principle and with conservation of energy. In the case when a source of field is evanescent wave we have found a new property of the generalized scattering matrix. This property reflects the conservation of energy at such process.
Received: 03.12.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 117, Issue 2, Pages 3948–3962
DOI: https://doi.org/10.1023/A:1024670909456
Bibliographic databases:
UDC: 534.1+534.26
Language: Russian
Citation: D. P. Kouzov, G. L. Nikitin, V. G. Yakovleva, “The matrix of the transforming of vibration waves”, Mathematical problems in the theory of wave propagation. Part 30, Zap. Nauchn. Sem. POMI, 275, POMI, St. Petersburg, 2001, 105–131; J. Math. Sci. (N. Y.), 117:2 (2003), 3948–3962
Citation in format AMSBIB
\Bibitem{KouNikYak01}
\by D.~P.~Kouzov, G.~L.~Nikitin, V.~G.~Yakovleva
\paper The matrix of the transforming of vibration waves
\inbook Mathematical problems in the theory of wave propagation. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 275
\pages 105--131
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1396}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1854505}
\zmath{https://zbmath.org/?q=an:1062.74559}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 117
\issue 2
\pages 3948--3962
\crossref{https://doi.org/10.1023/A:1024670909456}
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