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Sommerfeld-type integrals for discrete diffraction problems

Wave motion, 2020-09, Vol.97, p.102606, Article 102606

2020

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Embedding formulae for diffraction by rational wedge and angular geometries

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2005-07, Vol.461 (2059), p.2227-2242

2005

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Diffraction by an elongated body of revolution. A boundary integral equation based on the parabolic equation

Wave motion, 2019-01, Vol.85, p.176-190

2019

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Riemann surface of dispersion diagram of a multilayer acoustical waveguide

Wave motion, 2018-12, Vol.83, p.148-172

2018

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Diffraction of a High-Frequency Grazing Wave by a Grating With a Complicated Period

Journal of mathematical sciences (New York, N.Y.), 2013-10, Vol.194 (1), p.117-131

Shanin, A. V.

2013

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Diffraction of a mode close to its cut-off by a transversal screen in a planar waveguide

Wave motion, 2017-01, Vol.68, p.218-241

2017

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Asymptotics of waves diffracted by a cone and diffraction series on a sphere

Journal of mathematical sciences (New York, N.Y.), 2012-09, Vol.185 (4), p.644-657

Shanin, A. V.

2012

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The Parabolic Equation Method and the Fresnel Approximation in the Application to Weinstein’s Problems

Journal of mathematical sciences (New York, N.Y.), 2016-04, Vol.214 (3), p.302-321

2016

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Diffraction by a Grating Consisting of Absorbing Screens of Different Height. New Equations

Journal of mathematical sciences (New York, N.Y.), 2015-04, Vol.206 (3), p.270-287

2015

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Trapped modes in angular joints of 2D waveguides

Applicable analysis, 2014-03, Vol.93 (3), p.572-582

2014

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Pseudo-differential operators for embedding formulae

Journal of computational and applied mathematics, 2010-07, Vol.234 (6), p.1637-1646

2010

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Embedding formulae for scattering by three-dimensional structures

Wave motion, 2010-09, Vol.47 (5), p.299-317

2010

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Modified Smyshlyaev’s formulae for the problem of diffraction of a plane wave by an ideal quarter-plane

Wave motion, 2005, Vol.41 (1), p.79-93

Shanin, A.V.

2005

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A generalization of the separation of variables method for some 2D diffraction problems

Wave motion, 2003-03, Vol.37 (3), p.241-256

Shanin, A.V.

2003

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Theoretical and experimental study of diffraction by a thin cone

2018 Days on Diffraction (DD), 2018, p.33-37

2018

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Wave modes in periodic systems of thin tubes

2008 Proceedings of the International Conference Days on Diffraction, 2008, p.163-168

2008

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Numerical estimation of acoustic properties in enclosures of simple shape

2007 International Conference - Days on Diffraction, 2007, p.125-130

2007

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Application of the theories of representations to the problems of the excitation and reflection of wedge waves

Journal of applied mathematics and mechanics, 1994, Vol.58 (3), p.531-537

Shanin, A.V.

1994

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Derivation of the boundary conditions for the equation of the vibrations of a thin plate by the method of generalized functions

Journal of applied mathematics and mechanics, 1993, Vol.57 (2), p.389-392

Shanin, A.V.

1993

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Necessary condition of commutative factorization of algebraic matrices

Proceedings of the International Conference Days on Diffraction-2005, 2005, p.245-255

2005

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To the problem of diffraction by an ideal flat cone (quarter-plane)

International Seminar Day on Diffraction, 2003. Proceedings, 2003, p.203-220

Shanin, A.V.

2003

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Further progress in the coordinate equations theory

International Seminar Day on Diffraction, 2002. Proceedings, 2002, p.111-121

Shanin, A.V.

2002

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To the problem of diffraction on a slit: some properties of Schwarzschild's series

International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450), 2000, p.143-155

Shanin, A.V.

2000

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An extension of Wiener-Hopf method: ordinary differential equations associated with diffraction problems

International Seminar. Day on Diffraction. Proceedings (IEEE Cat. No.99EX367), 1999, p.176-182

Shanin, A.V.

1999

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Diffraction by two ideal strips

International Seminar. Day on Diffraction '2001. Proceedings (IEEE Cat.No.01EX477), 2001, p.237-249

2001

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Sommerfeld-type integrals for discrete diffraction problems

Embedding formulae for diffraction by rational wedge and angular geometries

Diffraction by an elongated body of revolution. A boundary integral equation based on the parabolic equation

Riemann surface of dispersion diagram of a multilayer acoustical waveguide

Diffraction of a High-Frequency Grazing Wave by a Grating With a Complicated Period

Diffraction of a mode close to its cut-off by a transversal screen in a planar waveguide

Asymptotics of waves diffracted by a cone and diffraction series on a sphere

The Parabolic Equation Method and the Fresnel Approximation in the Application to Weinstein’s Problems

Diffraction by a Grating Consisting of Absorbing Screens of Different Height. New Equations

Trapped modes in angular joints of 2D waveguides

Pseudo-differential operators for embedding formulae

Embedding formulae for scattering by three-dimensional structures

Modified Smyshlyaev’s formulae for the problem of diffraction of a plane wave by an ideal quarter-plane

A generalization of the separation of variables method for some 2D diffraction problems

Theoretical and experimental study of diffraction by a thin cone

Wave modes in periodic systems of thin tubes

Numerical estimation of acoustic properties in enclosures of simple shape

Application of the theories of representations to the problems of the excitation and reflection of wedge waves

Derivation of the boundary conditions for the equation of the vibrations of a thin plate by the method of generalized functions

Necessary condition of commutative factorization of algebraic matrices

To the problem of diffraction by an ideal flat cone (quarter-plane)

Further progress in the coordinate equations theory

To the problem of diffraction on a slit: some properties of Schwarzschild's series

An extension of Wiener-Hopf method: ordinary differential equations associated with diffraction problems

Diffraction by two ideal strips

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