DAY on DIFFRACTION
PROCEEDINGS
May 29 - 31, 2001
St.Petersburg, Russia
Proceedings of the International Seminar "Day on Diffraction in New Millennium''
Edited by: V.S.Buldyrev University of St.Petersburg
V.M.Babich St.Petersburg
Division of Mathematical Institute
I.V.Andronov University of St.Petersburg
V.E.Grikurov University of St.Petersburg
A.P.Kiselev Institute of Mechanical Engineering,
St.Petersburg
The Seminar is sponsored by:
Russian Foundation for Basic Research
St.Petersburg
Government Committee on Science and Education
IEEE
AES/AP/ED/GRS/MTT/NPS East Ukraine Joint Chapter
IEEE ED/MTT/AP St.Petersburg Chapter
(C) Day on Diffraction, Faculty of Physics,
SPbU, 2001
IEEE Catalog Number: 01EX477
ISBN 5-7997-0349-9
Print run 200
E.V.Aksenova, V.P.Romanov, A.Yu.Val'kov
WKB Method in the Problem of Thermal Fluctuations in Anisotropic Media with One-dimensional Periodicity
...............................................................................................................................................................................7
A.V.Aref'ev, V.S.Buldyrev
High frequency quasi-normal waves for nonstationary deep-water waveguide
............................................. 18
Ya.L.Bogomolov, A.D.Yunakovsky
Scattering of Electromagnetic Waves in a Channel with a Step-like Boundary
................................................26
V.V.Borisov
Spherical-harmonic representation of transient waves produced by sources on a superluminal expanding sphere
..............................................................................................................................................................38
V.S.Buldyrev, L.V. Fradkin
Generalized Impedance Boundary Condition Modeling a Thin Elastic Layer Between Two Elastic Halfspaces
...........................................................................................................................................................................44
V.A.Buslov
Quantum dynamics on small stochastic background
............................................................................................49
V.G.Farafonov, A.A.Loskutov, V.B.Il'in
Scattering of a plane electromagnetic wave by perfectly conducting bodies with the axial symmetry
.....80
J.Bruning, V.Geyler
Limiting absorption principle and the particle current conservation for one-dimensional geometric scattering
.............................................................................................................................................................................87
V.E.Grikurov, E.Heikkola, P.Neittaanmaki, B.A.Plamenevskii
Numerical detection of surface waves in diffraction gratings
...............................................................................97
V.V.Gursky, A.M.Samsonov
Symmetries and Exact Solutions to a Nonlinear Doubly Dispersive Equation with Dissipation
...............107
E.Sh.Gutshabash, M.A.Salle
Darboux-type anzats in nonstationary problems of quantum mechanics and kinetics
...............................116
Yu.V.Kiselev, V.N.Troyan
Restoration of Parameters of Viscoelastic Inhomogeneities by Diffraction Tomography
...........................128
V.B.Philippov, N.Ya.Kirpichnikova, A.S.Kirpichnikova
An edge wave diffraction from a line of curvature jump
........................................................................................133
A.P.Kiselev, E.A.Vsemirnova, G.N.Dyakova
Dilatation of S Waves and Rotation of P wave in Weakly Anisotropic Elastic Media
.....................................140
V.A.Kovalev
Matching of asymptotic models in scattering of acoustic waves by elastic shells
........................................144
V.G.Lapin, N.F.Yashina
Three wave interaction analysis in the presence of far-reaching correlations of stochastic
irregularities
.......................................................................................................................................................................151
Yu.A. Lavrov, V.D. Lukyanov
On natural frequencies of the rectangular acoustic resonator with piecewise--homogeneous elastic wall........................................................................................................................................................................................157
V.D.Luk'yanov, G.L.Nikitin
On Oscillations of an Elastic Spherical Shell Contacting with Acoustic Mediums and Arranged in the Top of a Cone
............................................................................................................................................................................162
M.A.Lyalinov, S.V.Polyanskaya
The Depolarization Effect in the Problem of Diffraction on a Grating Consisting of Thin Semi Infinite Chiral Slabs
....................................................................................................................................................................................171
M.A.Lyalinov, A.H.Serbest, T.Ikiz
Perturbation method in the problem of diffraction of an obliquely incident electromagnetic plane wave by an impedance wedge and the diffraction coefficients
...........................................................................................180
L.A.Molotkov
Equations of the effective model of a porous block medium
..............................................................................187
V.L.Oleinik, N.V.Sibirev
Description of low-frequency parts of the spectrum of periodical waveguide with screens
......................194
K.V.Pankrashkin, M.A.Poteryakhin
Short-wavelength asymptotics for the low Landau zones of the two-dimensional magnetic Schrodinger operator
..............................................................................................................................................................................202
V.Yu.Papshev
Analytical and numerical calculation of multipole matrix elements
....................................................................211
A.M.Samsonov, D.V.Shevchenko
On nonlinear elastic waves in a circular plate
..........................................................................................................215
A.V.Shanin, D.A.Mironova
To the problem of diffraction by a half-line or a strip: Diffraction of a cylindrical wave; calculation of the field on the coordinate plane
........................................................................................................................................223
A.V.Shanin, S.V.Chernyshev
Diffraction by two ideal strips
......................................................................................................................................237
I.I.Simonenko
On transient electromagnetic waves produced by a source on collapsing spherical surface 250
A.S.Starkov
Diffraction by dielectric wedge
.....................................................................................................................................256
R.V.Trepkov
One model of profile function for x-ray scattering in thin films............................................................................
267
S.V.Ul'yanov, V.P.Romanov
Mechanical Vibrations of Freely Standing Smectic-A Films 272
Z.A.Yanson
On construction of uniform asymptotics for Love waves near the surface of an anisotropic elastic
body
.....................................................................................................................................................................................281
A.V.Kudrin, M.Yu.Lyakh, T.M.Zaboronkova, C.Krafft
Electromagnetic Wave Excitation by a Modulated Electron Beam Injected in an Anisotropic Plasma Channel
..............................................................................................................................................................................291
A.V.Kudrin, E.Yu.Petrov, T.M.Zaboronkova
Current Distribution on a Perfectly Conducting Insulated Cylinder in a Gyrotropic Medium
......................302
V.Zalipaev, A.Kostin
Scattering of a plane electromagnetic wave by a perfectly conducting disk in the high-frequency approximation
...................................................................................................................................................................311