Beam propagation in a Randomly Inhomogeneous Medium
Aleksander Stanislavsky
TL;DR
This paper analyzes how beams propagate in a medium with random inhomogeneities, deriving equations that describe beam behavior and revealing wave localization effects that generalize the known '3/2 law'.
Contribution
It introduces an integro-differential equation modeling angular distribution in random media and extends the '3/2 law' to account for wave localization effects.
Findings
Beams experience trapping due to wave localization.
Derived expressions for mean square deviation generalize the '3/2 law'.
Provided a new mathematical framework for beam propagation in random media.
Abstract
An integro-differential equation describing the angular distribution of beams is analyzed for a medium with random inhomogeneities. Beams are trapped because inhomogeneities give rise to wave localization at random locations and random times. The expressions obtained for the mean square deviation from the initial direction of beam propagation generalize the "3/2 law".
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