Method of the Generalised Eikonal

£205.00

Method of the Generalised Eikonal

New Approaches in the Diffraction Theory

Applied mathematics Optical physics Mathematical physics Topics in philosophy

Author: Michael V. Vesnik

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Collection: De Gruyter Studies in Mathematical Physics

Language: English

Published by: De Gruyter

Published on: 31st July 2015

Format: LCP-protected ePub

Size: 212 pages

ISBN: 9783110383010


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).

Edge wave methods

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.

Applications

On the basis of the developed methods, construction of solutions for wave propagation in urban areas and elastic wave diffraction (including seismic waves) are proposed.

Intended audience

The book is useful for specialists who solve scientific and engineering problems in wave propagation and for students and postgraduate students.

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