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