Radiative transfer limit of two-frequency Wigner distribution for random parabolic waves: An exact solution

نویسندگان

  • Albert C. Fannjiang
  • Jacques Villain
چکیده

The present Note establishes the self-averaging, radiative transfer limit for the two-frequency Wigner distribution for classical waves in random media. Depending on the ratio of the wavelength to the correlation length the limiting equation is either a Boltzmann-like integral equation or a Fokker–Planck-like differential equation in the phase space. The limiting equation is used to estimate three physical parameters: the spatial spread, the coherence length and the coherence bandwidth. In the longitudinal case, the Fokker–Planck-like equation can be solved exactly. To cite this article: A.C. Fannjiang, C. R. Physique ••• (••••). © 2007 Published by Elsevier Masson SAS on behalf of Académie des sciences. Résumé Limite du transfert radiatif de la distribution de Wigner à deux fréquences pour des ondes paraboliques aléatoires : une solution exacte. Dans cette Note nous établissons la limite auto-moyennante dans le regime du transfert radiatif pour la distribution de Wigner á deux fréquences dans le cas classique d’ondes en milieu aléatoires. Suivant le rapport de la longueur d’onde à la longueur de corrélation l’équation limite est soit une équation intégrale de type Boltzmann soit une équation différentielle de type Fokker–Planck dans l’espace des phases. L’équation limite est utilisée pour estimer trois paramètres physiques : l’étalement spatial, la longueur de cohérence et la largeur de bande cohérente. Dans le cas longitudinal l’équation de type Fokker–Planck admet une solution exacte. Pour citer cet article : A.C. Fannjiang, C. R. Physique ••• (••••). © 2007 Published by Elsevier Masson SAS on behalf of Académie des sciences.

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تاریخ انتشار 2006