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Transport equations for elastic and other waves in random media. (English) Zbl 0954.74533
Summary: We derive and analyze transport equations for the energy density of waves of any kind in a random medium. The equations take account of nonuniformities of the background medium, scattering by random inhomogeneities, polarization effects, coupling of different types of waves, etc. We also show that diffusive behavior occurs on long time and distance scales and we determine the diffusion coefficients. The results are specialized to accoustic, electromagnetic, and elastic waves. The analysis is based on the governing equations of motion and uses the Wigner distribution.

74J99 Waves in solid mechanics
74J10 Bulk waves in solid mechanics
74E35 Random structure in solid mechanics
Full Text: DOI
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