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# Proceedings of the International Conference Days on Diffraction 2010

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Displaying Results 1 - 25 of 46
• ### [Front cover]

Publication Year: 2010, Page(s): c1
| PDF (31 KB)
• ### [Title page]

Publication Year: 2010, Page(s):2 - 3
| PDF (255 KB) | HTML
• ### Obituary [Vladimir Sergeevitch Buldyrev]

Publication Year: 2010, Page(s): 4
| PDF (335 KB) | HTML
• ### The 80th birthday of V. M. Babich

Publication Year: 2010, Page(s): 5
| PDF (361 KB) | HTML
• ### Contents

Publication Year: 2010, Page(s):6 - 8
| PDF (68 KB)
• ### The diffraction and dispersion of waves in the space-periodic structure with the 2-dimensional electronic gas

Publication Year: 2010, Page(s): 9
| | PDF (196 KB) | HTML

This paper reports on the diffraction and dispersion of waves in the semiconductor space-periodic structure with the 2D electronic gas. The diffraction grating is needed to ensure a radiating mode. The problem of the electromagnetic wave on the semiconductor structure with a diffraction grating is solved in a rigorous formulation method. In addition, the reflection coefficient signal is investigat... View full abstract»

• ### New approach to solution of sine-Gordon equation with variable amplitude

Publication Year: 2010, Page(s):10 - 15
Cited by:  Papers (2)
| | PDF (917 KB) | HTML

Methods of construction of functionally invariant solutions are represented for (3+1) sine-Gordon equation with variant amplitude. The solutions U(x, y, z, t) are expressed through arbitrary function of one f(α) or two f(α, β) ansatzes. Ansatzes (α, β) are defined as roots of the algebraic or mixed (algebraic and the first order differential) equations. The equat... View full abstract»

• ### Transition radiation in a waveguide with semi-bounded cold plasma

Publication Year: 2010, Page(s):16 - 21
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We analyze transition radiation of a charge crossing the boundary between vacuum and cold plasma in a waveguide. We obtain exact and approximate expressions with the steepest descend technique for the field components. It is shown that the electromagnetic field has the different structure in vacuum and cold plasma. We develop an algorithm for computation of the field based on a certain transformat... View full abstract»

• ### Dynamics of convecting elastic solids

Publication Year: 2010, Page(s):22 - 27
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The dynamics of a class of convecting elastic media is considered. The general field equation governing small oscillations is derived variationally. The mathematical structure of the field equation thus derived is examined. The origins of the gyroscopic' and the centrifugal' effects are traced. These can be associated with various terms in the expression for the Lagrangian density. In particular... View full abstract»

• ### Connection between representations of nonstandard and standard Chebyshev oscillators

Publication Year: 2010, Page(s):28 - 34
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We continue consideration the generalized oscillator algebra related to Jacobi matrix which differs from ones for Chebyshev polynomials only by nonzero main diagonal, consisting from periodically repeated set of three numbers {i√(3), -i√(3), 0}. We show that representations of this algebra are connected with representations of three more simple generalized oscillator algebras, relate... View full abstract»

• ### Dynamic equations for an orthotropic plate

Publication Year: 2010, Page(s):35 - 39
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A hierarchy of dynamic plate equations is derived for an orthotropic elastic plate. Using power series expansions in the thickness coordinate for the displacement components, recursion relations are obtained among the expansion functions. Using these in the boundary conditions on the plate surfaces, a set of dynamic equations are derived. These can be truncated to any order and are believed to be ... View full abstract»

• ### Wave dynamics of non-harmonic internal gravity wave in stratified ocean

Publication Year: 2010, Page(s):40 - 41
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The uniform asymptotic form of the internal gravity waves field generated by a source moving above the smoothly varying bottom is constructed. The problem of reconstructing non-harmonic internal gravity wave packets generated by a source moving in a stratified ocean is considered. The solution is proposed in terms of wave modes, propagating independently at the adiabatic approximation, and describ... View full abstract»

• ### Radio coverage simulation for three-dimensional urban environment using physical optics, physical theory of diffraction and the near-to-far-field transformation method

Publication Year: 2010, Page(s):42 - 47
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The objective of this paper is the presentation of a three-dimensional model which simulates the electromagnetic propagation in outdoor urban areas for GSM frequencies (900 - 1800 MHz), through the combination of separate propagation mechanisms. The simulation results of each propagation mechanism are analyzed in order to derive its contribution to the total received field. The simulation program ... View full abstract»

• ### Oscillations of statistical scattering in Rayleigh limit

Publication Year: 2010, Page(s):48 - 54
Cited by:  Papers (1)
| | PDF (1465 KB)

Oscillations of statistical wave scattering in Rayleigh limit are theoretically found. These oscillations are violation of the Rayleigh law of scattering. They are caused by the diffraction of a new form which leads to the different frequency dependencies of the scattering coefficient in the Rayleigh limit and thus violates Rayleigh law of scattering. View full abstract»

• ### Asymptotics of the solution to the mixed boundary elliptic problem

Publication Year: 2010, Page(s):55 - 56
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The following two-dimension problem is considered: equation Δu = f(x) in some domain Ω ∈ ℝ2 with piecewise smooth boundary. The boundary condition is following: the derivative on a normal is equal zero everywhere, except a small segment γ, where function u(x) is given. The length of the segment equal to a small parameter ε. There is a problem to... View full abstract»

• ### Statement of the boundary-contact problems for the shells in acoustics

Publication Year: 2010, Page(s):57 - 62
Cited by:  Papers (2)
| | PDF (1189 KB) | HTML

Shells are the elements of various constructions, particulary partially submerged into the water (see [1], Fig. 1). They are subjected to external forces of different kind. It is important to estimate the level of vibration fields in these composite systems and analyze energy and energy flow in them. Different shell models were considered in [2], [3], [4] for example. The shell models of Timoshenk... View full abstract»

• ### Iterative algorithms for multiple electromagnetic scattering in three dimensions

Publication Year: 2010, Page(s):63 - 68
| | PDF (458 KB) | HTML

We describe and compare two iterative fully discrete high-order algorithms for simulation of electromagnetic scattering by multiple perfectly conducting three dimensional particles. Our hybrid surface integral algorithms use a combination of high-order approximations of the tangential surface current on each particle and iterative schemes to simulate the multiple scattering problem by solving seve... View full abstract»

• ### Trapped-mode, pass- and gap-band effects waveguides with obstacles

Publication Year: 2010, Page(s):69 - 72
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Resonance localization of incident wave energy near obstacles in the form of energy vortices resulting in sharp blocking, known as a trapped mode effect, is under investigation. While resonance response of a single obstacle works as a blocker, for the waveguide with several obstacles it is observed that it becomes opened in narrow vicinities of resonance frequencies. With the increase of defects n... View full abstract»

• ### Spring boundary conditions and modeling of 2D wave propagation in composites with imperfect interfaces

Publication Year: 2010, Page(s):73 - 78
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The possibility of applying spring boundary conditions to model propagation of elastic waves in layered composites with nonperfect contact between layers in studied. The stiffnesses in the spring boundary conditions are determined by the crack density, the effective size of microdefects, and the elastic properties of the materials via the Baik-Thompson and Boström-Wickham approaches. The e... View full abstract»

• ### Seismic data processing in terms of locally supported wavelets

Publication Year: 2010, Page(s):79 - 84
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We develop a mathematical tool which is used for the regularization of a singular integral representation of the Helmholtz equation in a region with non-smooth boundaries with a constant parameter, i.e. in a medium with a constant velocity. The classical perturbation approach is then applied in order to calculate the Helmholtz equation with a variable parameter. Moreover, for media with strong var... View full abstract»

• ### On the extension of the wave based method

Publication Year: 2010, Page(s):85 - 92
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This paper discusses the possibility to apply the ideas of the wave based method, which has been developed for the steady-state acoustic areas, i.e. to solve Helmholtz type boundary value problems in a bounded domain, in non-acoustics areas such as steady-state temperature propagation, calculation of the velocity potential function of a liquid flux, calculation of the light irradience in a liver t... View full abstract»

• ### New analytical WA-systems of Kravchenko functions

Publication Year: 2010, Page(s):93 - 98
Cited by:  Papers (1)
| | PDF (1795 KB) | HTML

In this representation the new class of analytical WA-systems of Kravchenko functions on the basis of the theory of atomic functions (AF) [1-5] are constructed and proof. The all wavelet conditions [3-8, 12-15] are satisfied exact. The constructed wavelets have a compact support and they are infinitely differentiable. New wavelet function using for the analysis of time series on examples of Solar ... View full abstract»

• ### Radial atomic functions in digital signal processing

Publication Year: 2010, Page(s):99 - 101
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The new class of radial basis functions on the basis of the theory of the atomic functions (AF) [1-9] is consider. As it known [2-5, 7-9] that AF are the solutions of functional differential equations with shifted argument with compact support. The important thing is their smoothness and high speed of convergence of their basis. On their basis radial Kravchenko wavelet are constructed. Examples of... View full abstract»

• ### Linearized system of magnetohydrodynamics for the ideal incompressible fluid

Publication Year: 2010, Page(s):102 - 105
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This paper investigates wave propagation in the linearized system of magnetohydrodynamics (MHD). This system has characteristic roots of variable multiplicity. MHD system in incompressible ideal fluid is considered. View full abstract»

• ### Excitation of electromagnetic waves by a pulsed ring current in a magnetoplasma

Publication Year: 2010, Page(s):106 - 112
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Pulsed radiation from a ring current source immersed in a magnetoplasma is studied. An expression for the radiated energy is derived and its distribution over the spatial and frequency spectra of the excited waves as a function of the source parameters is analyzed. Numerical results referring to the case where the frequency spectrum of the current is concentrated in the whistler frequency range ar... View full abstract»