The Method of the Generalised Eikonal

The Method of the Generalised Eikonal New Approaches in the Diffraction Theory - De Gruyter Studies in Mathematical Physics

1st edition

Hardback (30 Jul 2015)

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Publisher's Synopsis

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.

Book information

ISBN: 9783110311129
Publisher: De Gruyter
Imprint: De Gruyter
Pub date:
Edition: 1st edition
Language: English
Number of pages: 212
Weight: 493g
Height: 240mm
Width: 170mm
Spine width: 14mm