Propagation of classical waves in random media

Journal Article · Tue Feb 01 04:00:00 EST 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.49.3800· OSTI ID:5315028

Soukoulis, C M; Datta, S ^[1]; Economou, E N ^[2]

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1. Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011 (United States)
2. Research Center of Crete/FORTH and Department of Physics, University of Crete, Heraklio, Crete (Greece)

An extension of the well-known coherent-potential approximation is developed for the study of various properties of random arrangements of spherical dielectric scatterers. Some of the short-range order is taken into account by considering a coated sphere as the basic scattering unit. A generalization of the energy-transport velocity is obtained. The validity of our approach is checked by comparison with experimental results, as well as with numerical calculations. Results for the long-wavelength effective dielectric constant, phase velocity, energy-transport velocity, mean free path, and diffusion coefficient are presented and compared with experiments on scattering from dielectric spheres. In addition, our findings suggest that the positions of the band gaps in periodic dielectric structures are closely related with the range of localized states in random dielectric media.

• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 5315028
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 49:6; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIELECTRIC MATERIALS
DIFFUSION
ELECTROMAGNETIC FIELDS
ENERGY TRANSFER
MATERIALS
MEAN FREE PATH
PHASE VELOCITY
RANDOMNESS
SPHERES
VELOCITY
WAVE PROPAGATION