Boundary-Layer Method in Diffraction Problems

Autor: V. M. Babic, N. Y. Kirpicnikova

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Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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It has become almost a cliche to preface one's remarks about asymptotic tech niques with the stateme...

Informații despre carte

Autor

V. M. Babic, N. Y. Kirpicnikova

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2012

Pagini

140

EAN

9783642883934

ISBN

3642883931

Enbook ID

06882809

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

242

Dimensiuni

155 x 235 x 9

Descriere completă

It has become almost a cliche to preface one's remarks about asymptotic tech niques with the statement that only a very few special problems in diffrac tion theory (be it electromagnetic, acoustic, elastic or other phenomena) are possessed of closed form solutions, but as with many cliches, this is because it is true. One only has to scan the literature to see the large amount of effort (both human and computer) expended to solve diffraction problems involving complicated geometries which do not permit such simplifications as separation of variables, It was a desire for techniques more straightforward than frontal numerical assaults, as well as for a theory \~hich \~ould explain the basic physical phenomena involved, which stimulated research into asymptot ic methods. Geometrical optics (GO) and, now, even Keller's geometrical theory of dif fraction (GTD) have been with us for some time, and have become standard tools in the analysis of high-frequency wave phenomena, Of course, it was always recognized that these approaches broke down in certain regions: GO in the shadow region; GTD along shadow boundaries and caustics. One remedy for these defects is to construct an expansion, based upon a more general ansatz than GO or GTD, which is made to be valid in one or more of the areas where GO or GTD break down.

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Boundary-Layer Method in Diffraction Problems

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