An attempt is made to survey the most significant physical effects in wave propagation and scattering in random media that has been predicted or observed during the last two decades. The list of such effects includes, first, the phenomena of light propagation through a turbulent atmosphere: effects of intermittent turbulence, different phenomena in the region of strong fluctuations, and of the optical resolution improvement phenomena. The second important class under consideration consists of enhanced backscattering and the related effects of double passage through the turbulent atmosphere, including enhancement of intensity fluctuations, partial reversal of the wave front in turbulent media, superfocusing, the magic-cap effect, and the diversity of other effects. Finally, new effects that are due to multiple scattering are discussed: memory effects, enhanced translucency, etc.
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