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Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media (Hardcover, 1991 ed.)
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Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media (Hardcover, 1991 ed.)
Series: Applied Mathematical Sciences, 87
Expected to ship within 10 - 15 working days
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The propagation of acoustic and electromagnetic waves in stratified
media is a subject that has profound implications in many areas of
applied physics and in engineering, just to mention a few, in ocean
acoustics, integrated optics, and wave guides. See for example
Tolstoy and Clay 1966, Marcuse 1974, and Brekhovskikh 1980. As is
well known, stratified media, that is to say media whose physical
properties depend on a single coordinate, can produce guided waves
that propagate in directions orthogonal to that of stratification,
in addition to the free waves that propagate as in homogeneous
media. When the stratified media are perturbed, that is to say when
locally the physical properties of the media depend upon all of the
coordinates, the free and guided waves are no longer solutions to
the appropriate wave equations, and this leads to a rich pattern of
wave propagation that involves the scattering of the free and
guided waves among each other, and with the perturbation. These
phenomena have many implications in applied physics and
engineering, such as in the transmission and reflexion of guided
waves by the perturbation, interference between guided waves, and
energy losses in open wave guides due to radiation. The subject
matter of this monograph is the study of these phenomena.
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