Stationary Diffraction by Wedges, Alexander Komech; Anatoli Merzon

Автор: Vasili M. Babic; Edward F. Kuester; Vladimir S. Bu
Название: Short-Wavelength Diffraction Theory
ISBN: 3642834612 ISBN-13(EAN): 9783642834615
Издательство: Springer
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Цена: 65290.00 T
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Описание: In the study of short-wave diffraction problems, asymptotic methods - the ray method, the parabolic equation method, and its further development as the "etalon" (model) problem method - play an important role.

Автор: I. David Abrahams; Paul A Martin; Michael J. Simon
Название: IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity
ISBN: 9048160103 ISBN-13(EAN): 9789048160105
Издательство: Springer
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Цена: 204040.00 T
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Описание: Proceedings of the IUTAM Symposium held in Manchester, United Kingdom, 16-20 July 2000

Автор: Jean-Pierre Croisille; Gilles Lebeau
Название: Diffraction by an Immersed Elastic Wedge
ISBN: 3540668101 ISBN-13(EAN): 9783540668107
Издательство: Springer
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Цена: 27910.00 T
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Автор: Michael V. Vesnik
Название: The Method of the Generalised Eikonal: New Approaches in the Diffraction Theory
ISBN: 3110311127 ISBN-13(EAN): 9783110311129
Издательство: Walter de Gruyter
Цена: 223090.00 T
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Описание: Diffraction theory describes scattering mechanisms for waves of various physical nature, scattered by objects of different shapes and materials. This book proposes new methods to account for the contour shape, edge profile and boundary conditions of three-dimensional scatterers (in particularly, flat polygons and polyhedrals). A standard method to refine the physical optics approximation (PO) is the heuristic method of edge waves (MEW). In comparison with MEW, the presented approaches simplify the solving and refining the PO approximation without solving a corresponding two-dimensional problem. Furthermore these methods allow to take into account the field perturbation in the vicinity of vertices. While the analytical formulas obtained by using these new approaches are as simple as in the PO case, the accuracy can be even higher than for MEW. On the basis of the developed methods construction of solutions for wave propagation in urban area and elastic wave diffraction (including seismic waves) are proposed. The book is useful for specialists who solve scientific and engineering problems in wave propagation and for students and postgraduate students.

Автор: Calvin H. Wilcox
Название: Scattering Theory for Diffraction Gratings
ISBN: 0387909249 ISBN-13(EAN): 9780387909240
Издательство: Springer
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Цена: 88500.00 T
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Описание: The scattering of acoustic and electromagnetic waves by periodic sur- faces plays a role in many areas of applied physics and engineering. Trains of surface waves on the oceans are natural diffraction gratings which influence the scattering of electromagnetic waves and underwater sound.

Автор: Igor T. Selezov; Yuriy G. Kryvonos; Ivan S. Gandzh
Название: Wave Propagation and Diffraction
ISBN: 9811352674 ISBN-13(EAN): 9789811352676
Издательство: Springer
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Цена: 130430.00 T
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Описание: This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method.Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surface gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves.Lastly, it provides insights into directions for further developing the wave diffraction theory.

Автор: Shih-Lin Chang
Название: X-Ray Multiple-Wave Diffraction
ISBN: 3642059473 ISBN-13(EAN): 9783642059476
Издательство: Springer
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Цена: 174130.00 T
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Описание: X-ray multiple-wave diffraction, sometimes called multiple diffraction or N-beam diffraction, results from the scattering of X-rays from periodic two- or higher-dimensional structures, like 2-d and 3-d crystals and even quasi- crystals.

Автор: Guy Chavent; Pierre C. Sabatier
Название: Inverse Problems of Wave Propagation and Diffraction
ISBN: 366214154X ISBN-13(EAN): 9783662141540
Издательство: Springer
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Цена: 74530.00 T
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Описание: This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.

Автор: Sumbatyan, Mezhlum A. , Scalia, Antonio
Название: Equations of Mathematical Diffraction Theory
ISBN: 0367393808 ISBN-13(EAN): 9780367393809
Издательство: Taylor&Francis
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Цена: 65320.00 T
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Описание:

Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic solutions of boundary integral equations in mathematical diffraction theory for the high-frequency case.

Clearly demonstrating the close connection between heuristic and rigorous methods in mathematical diffraction theory, this valuable book provides you with the differential and integral equations that can easily be used in practical applications.

Автор: Peter Lindqvist
Название: Notes on the Stationary p-Laplace Equation
ISBN: 303014500X ISBN-13(EAN): 9783030145002
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book in the BCAM SpringerBriefs series is a treatise on the p-Laplace equation. It is based on lectures by the author that were originally delivered at the Summer School in Jyv?skyl?, Finland, in August 2005 and have since been updated and extended to cover various new topics, including viscosity solutions and asymptotic mean values. The p-Laplace equation is a far-reaching generalization of the ordinary Laplace equation, but it is non-linear and degenerate (p>2) or singular (p<2). Thus it requires advanced methods. Many fascinating properties of the Laplace equation are, in some modified version, extended to the p-Laplace equation. Nowadays the theory is almost complete, although some challenging problems remain open.