Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media

Ricardo Weder (Autor)

Buch | Hardcover

190 Seiten

1990
Springer-Verlag New York Inc.
978-0-387-97357-9 (ISBN)

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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.

1. Introduction.- 2. Propagation of Acoustic Waves.- §1. The Unperturbed Acoustic Propagator.- §2. The Limiting Absorption Principle for the Unperturbed Acoustic Propagator.- §3. The Perturbed Acoustic Propagator.- §4. The Essential Spectrum of the Perturbed Acoustic Propagator.- §5. Absence of Positive Eigenvalues.- §6. The Limiting Absorption Principle for the Perturbed Acoustic Propagator.- §7. The Generalized Fourier Maps and Acoustic Scattering Theory.- 3. Propagation of Electromagnetic Waves ..- §1. The Unperturbed Electromagnetic Propagator.- §2. The Limiting Absorption Principle for the Unperturbed Electromagnetic Propagator.- §3. The Limiting Absorption Principle for the Perturbed Electromagnetic Propagator.- §4. The Generalized Fourier Maps and Electromagnetic Scattering Theory.- Appendix 1.- Appendix 2.- Notes.- References.

Reihe/Serie	Applied Mathematical Sciences ; 87
Zusatzinfo	VIII, 190 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	156 x 234 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
ISBN-10	0-387-97357-5 / 0387973575
ISBN-13	978-0-387-97357-9 / 9780387973579
Zustand	Neuware