Transverse spectra of waves in random media
| Autor: | Shimshon Frankenthal, Mark J. Beran |
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| Rok vydání: | 1997 |
| Předmět: | |
| Zdroj: | Waves in Random Media. 7:257-282 |
| ISSN: | 1361-6676 0959-7174 |
| DOI: | 10.1088/0959-7174/7/2/007 |
| Popis: | We consider the statistics of the transverse spectra of forward-propagating waves in a stationary random medium. A short-range perturbation solution is used to derive the difference equations that govern the long-range evolution of the ensemble-averaged transverse wave spectrum and coherence. The conditions under which these equations may be approximated by differential and integro-differential equations are given, and it is shown that the approximation is valid for the treatment of beam propagation provided that the transverse dimension of the beam is sufficiently large, and at ranges where the transverse coherence length of the beam remains larger than a wavelength. The equations that are derived are not limited by the parabolic approximation, and are amenable to numerical solution by marching techniques. We use the equation that governs the spectral density of the total energy flux, and also the propagation of waves which are statistically homogeneous in transverse planes, to show the conditio... |
| Databáze: | OpenAIRE |
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