Self-averaging Scaling Limits of Two-frequency Wigner Distribution for Random Parabolic Waves
نویسنده
چکیده
The present paper establishes the self-averaging, radiative transfer limit for the twofrequency Wigner distribution for random classical waves in the paraxial approximation. Depending on the ratio of the wavelength to the correlation length the limiting equation is either a Boltzmannlike integral equation or a Fokker-Planck-like differential equation in the phase space. When the longitudinal fluctuation is dominant, the Fokker-Planck-like equation can be solved exactly. The scaling limit of the two-frequency Wigner distribution contains the asymptotic of cross-frequency correlation which determines pulse propagation in the radiative transfer regime.
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