Fundamentals of the Physical Theory of Diffraction
This book is the first complete and comprehensive description of the modern Physical Theory of Diffraction (PTD) based on the concept of elementary edge waves (EEWs). The theory is demonstrated with the example of the diffraction of acoustic and electromagnetic waves at perfectly reflecting objects. The derived analytic expressions clearly explain the physical structure of the scattered field and describe in detail all of the reflected and diffracted rays and beams, as well as the fields in the vicinity of caustics and foci. Shadow radiation, a new fundamental component of the field, is introduced and proven to contain half of the total scattered power.
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basic notions in acoustic & electromagnetic diffraction problems; wedge diffraction: exact solution & asymptotics; wedge diffraction: physical optics field; wedge diffraction: radiation by nonuniform component of surface sources; first-order diffraction at strips & polygonal cylinders; axially symmetric scattering of acoustic waves at bodies of revolution; elementary acoustic & electromagnetic edge waves; ray & caustics asymptotics for edge diffracted waves; multiple diffraction of edge waves: grazing incidence & slope diffraction; diffraction interaction of neighboring edges on a ruled surface; focusing of multiple acoustic edge waves diffracted at a convex body of revolution with a flat base; focusing of multiple edge waves diffracted at a disk; backscattering at a finite-length cylinder; bistatic scattering at a finite-length cylinder