Localization of Classical Waves I: Acoustic Waves.

Localization of Classical Waves I: Acoustic Waves. (1996)

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by Alexander Figotin , Abel Klein

Venue:	Commun. Math. Phys
Citations:	26 - 0 self

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Datum	Value	Source
TITLE	Localization of Classical Waves I: Acoustic Waves.	user correction - Legacy Corrections
AUTHOR NAME	Alexander Figotin	SVM HeaderParse 0.1
AUTHOR AFFIL	Department of Mathematics; University of North Carolina at Charlotte	SVM HeaderParse 0.2
AUTHOR ADDR	Charlotte, NC 28223	SVM HeaderParse 0.1
AUTHOR NAME	Abel Klein	SVM HeaderParse 0.1
AUTHOR AFFIL	; y; Department of Mathematics; University of California, Irvine; %0 (x); 1; %(x)	SVM HeaderParse 0.2
AUTHOR ADDR	; Irvine, CA 92717-3875	SVM HeaderParse 0.1
ABSTRACT	We consider classical acoustic waves in a medium described by a position dependent mass density %(x). We assume that %(x) is a random perturbation of a periodic function % 0 (x) and that the periodic acoustic operator A 0 = \Gammar \Delta 1 %0 (x) r has a gap in the spectrum. We prove the existence of localized waves, i.e., finite energy solutions of the acoustic equations with the property that almost all of the wave's energy remains in a fixed bounded region of space at all times, with probability one. Localization of acoustic waves is a consequence of Anderson localization for the self-adjoint operators A = \Gammar \Delta 1 %(x) r on L 2 (R d ). We prove that, in the random medium described by %(x), the random operator A exhibits Anderson localization inside the gap in the spectrum of A 0 . This is shown even in situations when the gap is totally filled by the spectrum of the random operator; we can prescribe random environments that ensure localization in almost the wh...	user correction - Legacy Corrections
YEAR	1996	INFERENCE
VENUE	Commun. Math. Phys	INFERENCE
VENUE TYPE	JOURNAL	INFERENCE
PAGES	439--482	INFERENCE
VOLUME	180	INFERENCE
CITATIONS	29 found	ParsCit 1.0