Near-threshold effects of the scattering of waves in a distorted elastic two-dimensional waveguide. / Nazarov, S. A.
In: Journal of Applied Mathematics and Mechanics, Vol. 79, No. 4, 01.01.2015, p. 374-387.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Near-threshold effects of the scattering of waves in a distorted elastic two-dimensional waveguide
AU - Nazarov, S. A.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - Near-threshold effects of the almost total reflection or transmission of elastic waves in a two-dimensional strip-waveguide with a locally perturbed rigidly clamped surface are described using an asymptotic analysis. The quantitative characteristics of the scattering depend on a unitary and symmetric scattering matrix at the threshold and, in particular, are determined by the presence or absence of bounded solutions at the cutoff frequency.
AB - Near-threshold effects of the almost total reflection or transmission of elastic waves in a two-dimensional strip-waveguide with a locally perturbed rigidly clamped surface are described using an asymptotic analysis. The quantitative characteristics of the scattering depend on a unitary and symmetric scattering matrix at the threshold and, in particular, are determined by the presence or absence of bounded solutions at the cutoff frequency.
UR - http://www.scopus.com/inward/record.url?scp=84956860117&partnerID=8YFLogxK
U2 - 10.1016/j.jappmathmech.2016.01.008
DO - 10.1016/j.jappmathmech.2016.01.008
M3 - Article
AN - SCOPUS:84956860117
VL - 79
SP - 374
EP - 387
JO - Journal of Applied Mathematics and Mechanics
JF - Journal of Applied Mathematics and Mechanics
SN - 0021-8928
IS - 4
ER -
ID: 41035842