DAY ON DIFFRACTION'97 INTERNATIONAL SEMINAR Saint Petersburg, June 3-5, 1997 P R O G R A M M E June 3, 1997 (Mathematical Institute, 27 Fontanka quay, St.Petersburg) --------------------------------------------------------------------- 8.30- 9.00 Registration 9.00- 9.20 Opening High frequency technique Chairperson: V.S.Buldyrev ---------------------------------------------------------------------- 9.20-9.50 V.M.Babich, K.D.Cherednichenko Fock's ansatz and its generalizations 9.50-10.20 James Lawry Complex ray analysis of the S wave 10.20-10.50 A.P. Kiselev, Z. M. Rogoff Diffraction by the jump of curvature by k 1-scaling 10.50-11.20 Coffee Break 11.20-11.50 N. Ya. Kirpichnikova The second approximation of the ray method for calculation of the intensity of the wave front in isotropic nonhomogeneous elastic media 11.50-12.20 H. Schanz, H. Primack, I. Ussishkin, U. Smilansky Penumbra diffraction in the quantization of concave billiards 12.20-12.50 E. Akkermans, R. Narevich, D. Spehner Quantum dynamics of an electron in magnetic billiards with hard boundaries Lunch Mathematical Questions Chairperson: V.M.Babich --------------------------------------------------------------------- 14.10-14.40 D. P. Kouzov On the possibility of regularization of contact integrals 14.40-15.10 Armen M. Il'in On the two-time method for the perturbed problem of one- frequent oscillations 15.10-15.40 I. David Abrahams Matrix Wiener-Hopf factorization with application to diffraction of elastic and acoustic waves 15.40-16.10 Habib Ammari, Natacha B‚reux, Jean Claude N‚delec Resonances for Maxwell's equations in a periodic structure 16.10-16.30 Coffee Break Plates & Shells I Chairperson: I.D.Abrahams --------------------------------------------------------------------- 16.30-17.00 Ivan V. Andronov Scattering by a narrow crack in fluid loaded elastic plate 17.00-17.30 V.D. Lukjanov, G.L. Nikitin Scattering of a plane acoustic wave on an elastic plate joined with a periodic set of acoustic resonators 17.30-17.00 G. L. Nikitin Radiation of acoustic waves by the flat waveguide into a half-space through a thin elastic plate June 4, 1997 (Mathematical Institute, 27 Fontanka quay, St.Petersburg) ---------------------------------------------------------------------- Time-Domain Problems Chairperson: A.Hanyga ---------------------------------------------------------------------- 9.00- 9.30 Victor V. Borisov, Irina I. Simonenko Transient electromagnetic waves produced by a source on the expanding circle 9.30-10.00 M.A. Lyalinov Diffraction by a slowly expanding cylinder 10.00-10.30 Olga A. Obrezanova, Vladimir S. Rabinovich Propagation of sound generated by a moving source in an oceanic waveguide with an obstacle 10.30-10.50 Coffee Break 10.50-11.20 V.A.Borovikov Singularities of the Green function for non-strictly hyperbolic equations 11.20-11.50 A.P.Kiselev, M.V.Perel Quasiphotons and nondispersive waves 11.50-12.20 Hiroshi Shirai Transient impulsive response from an interface between two media 12.20-12.50 Victor F. Kravchenko, George A. Nesenenko Mathematical problems of diffraction Lunch Inverse problems & Variational approaches Chairperson: M.Belishev --------------------------------------------------------------------------- 14.10-14.40 Evgeni Korotyaev Inverse problem and the double-side estimates for the Hill operator 14.40-15.10 A.V. Badanin 4 4 On the quasimomentum of the operator d /dx + q(x) with a periodic potential 15.10-15.40 Yurii V. Kiselev, Vladimir N. Troyan Estimation of elastic parameters in diffraction tomography 15.40-16.10 A. S. Starkov The integral equation in multidimensional spectral inverse problem 16.10-16.30 Coffee Break 16.30-17.00 S. A. Titarenko New results and approaches in the inverse spectral problem of "the shape of a drum" 17.00-17.30 Andrzej Hanyga Fermat's principle in anisotropy 17.30-18.00 Sergei Kanaun A variational principle of the electromagnetic wave diffraction problem and its applications June 5, 1997 Parallel session A (Hall 107) (Faculty of Physics, Univ. of St.Petersburg, Petrodvorets) ---------------------------------------------------------- Interfaces Chairperson: V.A. Borovikov --------------------------------------------------------------------- 10.00-10.30 V. V. Zalipaev Plane wave scattering by a step discontinuity in an impedance plane 10.30-11.00 Yu. A. Baloshin, A. V. Kostin Diffraction at perfectly conducting rough surfaces under grazing incidence 11.00-11.30 Alexander G. Alenitsyn Stoneley's double waves, II 11.30-11.50 Coffee Break 11.50-12.20 Matthias Zillmer, Dirk Gajewski, Boris M. Kashtan Plane wave reflection coefficients for two weakly anisotropic halfspaces in welded contact 12.20-12.50 A. A. Lazarev Acoustic wave radiation during relative sliding of two bodies 12.50-13.20 Yu. V. Gotlib Helmholtz equation solutions concentrated near periodical boundary Lunch Plates & Shells II. Chairperson: A.P.Kiselev ------------------------------------------------------------------ 14.10-14.40 A. V. Krotov, P. E. Tovstik Asymptotically double natural frequencies of thin ellipti- cal cylindrical shell vibrations 14.40-15.10 Yu. A. Lavrov On natural frequencies of thin cylindrical shell with free edges 15.10-15.40 G. I. Mikhasev Travelling wave packets in thin elastic shells 15.40-16.00 Coffee Break Resonators Chairperson: A.P.Kiselev ------------------------------------------------------------------ 16.00-16.30 E. V. Chernokozhin, Yu. V. Shestopalov Scattering frequencies of cylindrical slotted resonators 16.30-17.00 Andrey V. Shanin Excitation of wave field in a triangle area 17.00-17.30 A. I. Khizhnyak, L. V. Kreminskaya Interference nature of the transverse mode selection in resonator with sagnac interferometer June 5, 1997 Parallel session B (Hall 108) (Faculty of Physics, Univ. of St.Petersburg, Petrodvorets) ---------------------------------------------------------- Flow Chairperson: T.M.Zaboronkova ----------------------------------------------------------------------- 10.00-10.30 Oleg V. Motygin Trapped modes in the linearized problem of a potential flow about semisubmerged bodies 10.30-11.00 T. I. Khabakhpasheva, I. V. Sturova Diffraction of internal waves by a submerged circular cylinder at forward speed in two-layer fluid 11.00-11.30 I.T.Selezov Modeling heart pulse propagation in jointed blood vessels 11.30-11.50 Coffee Break Diffraction by obstacles Chairperson: I.T.Selezov ----------------------------------------------------------------------- 11.50-12.20 V.S. Buldyrev, N.G.Gelfreikh The Head Waves for the Problem of Diffraction on Obstacles with GIBC on their Surface 12.20-12.50 A. M. Akhmeteli Diffraction of a Gaussian electromagnetic beam on a thin conducting cylinder and an efficient method of heating of small targets 12.50-13.20 A. M. Lerer, S. M. Tsvetkovskaya Method of Regularization in Two-Dimensional Problems of Narrow Electromagnetic Pulse Diffraction Lunch Nonlinear problems Chairperson: V.E.Grikurov, S.Yu. Dobrokhotov -------------------------------------------------------------------------- 14.10-14.40 Serguei Yu. Dobrokhotov Ray method, Hugoniot-Maslov chains for trajectories of point singularities of the "Shallow water" equations, the Hill equation and typhoon eye propagation 14.40-15.10 S.Fedorov, G.Khodova, N.Rosanov, A.Vladimirov Localized structures in active nonlinear waveguides and bistable lasers 15.10-15.40 A. V. Kudrin, E. Yu. Petrov, T. M. Zaboronkova Theory of strip loop antennas in a resonant magnetoplasma 15.40-16.00 Coffee Break 16.00-16.30 E. M. Gromov, V. V. Tutin Frequency modulated stationary waves in a third-order nonlinear Schr”dinger equation 16.30-17.00 A. B. Golovin, A. I. Khizhnyak, L. V. Kreminskaya Diffraction excitation of TEM00 mode of solid state ring laser 17.00-17.30 V.E. Grikurov Perturbation of unstable solitons for generalized NLS with saturating nonlinearity June 5, 1997; (Park, Petrodvorets) 18.00 - Closing & Picnic