Propagation of radiation in time-dependent three-dimensional random media
| Autor: | Mark J. Beran, Alan M. Whitman, Shimshon Frankenthal, Venkatesh Deshmukh |
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| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Waves in Random and Complex Media. 18:435-460 |
| ISSN: | 1745-5049 1745-5030 |
| DOI: | 10.1080/17455030802078429 |
| Popis: | In Ref. [1] (Appendix A) we derived equations governing the frequency and spatial spectrum of radiation propagating in three-dimensional time-dependent random media with randomly varying sound speed c ( x , t). From the spectral equations we determine equations for the energy flux in both the forward and backward directions. We consider media that are spatially homogeneous and isotropic and stationary in time. In order to allow an independence assumption the analysis is restricted to fluctuations that satisfy the conditions τμ ≫ L z /c 0 and τμ ≪ L FS/c 0 where τμ is the characteristic time of the fluctuations, k 0 is the mean radiation wavenumber, L z is the characteristic correlation length of the random fluctuations in the mean propagation direction and L FS is a mean scattering length. We consider various values of γ = (k 0 L z )2/2. When γ ≪ 1 we find the usual radiation transfer equations. When γ ≫ 1, but back-scattering can be neglected, we find the forward-scattering equations. We also consider γ ... |
| Databáze: | OpenAIRE |
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