Localization of classical waves in a random medium: A self-consistent theory
- Institut fuer Theorie der Kondensierten Materie, Universitaet Karlsruhe, D-7500 Karlsruhe 1 (Germany)
- Ames Laboratory and Department of Physics, Iowa State University, Ames, Iowa, 50011 (United States)
We study localization of classical waves in a model of point scatterers, idealizing a random arrangement of dielectric spheres ([epsilon]=1+[Delta][epsilon]) of volume [ital V][sub [ital s]] and mean spacing [ital a] in a matrix ([epsilon]=1). At distances [much gt][ital a] energy transport is diffusive. A self-consistent equation for the frequency-dependent diffusion coefficient is obtained and evaluated in the approximation where noncritical quantities are calculated in the coherent potential approximation. The velocity of energy transport and the phase velocity are renormalized in a similar way, even for finite-size scatterers. We find localization for [ital d]=3 dimensions in a frequency window centered at [omega][congruent]2[pi]/[ital a], and for values of the average change in the dielectric constant [Delta][bar [epsilon]]=([ital V][sub [ital s]a][sup [minus]3])[Delta][epsilon] exceeding [similar to]1.7.
- OSTI ID:
- 6609284
- Journal Information:
- Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 47:17; ISSN PRBMDO; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
665000* -- Physics of Condensed Matter-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIELECTRIC PROPERTIES
DIFFUSION
ELECTRICAL PROPERTIES
ELECTROMAGNETIC RADIATION
FREQUENCY DEPENDENCE
PHYSICAL PROPERTIES
RADIATIONS
RENORMALIZATION
SELF-CONSISTENT FIELD
SPHERES
WAVE PROPAGATION