Fluctuations in transmission of waves through disordered slabs

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Abstract
We consider a wave propagating through a disordered slab of thickness L (and infinite in transverse directions). We calculate fluctuations in transmission for an arbitrary width W of the incident beam. Our results demonstrate that one should distinguish between two regimes: L≪W (plane wave) and L≫W (narrow beam). Whereas the average transmission is the same in both regimes, fluctuations in transmission are quite different and have a different dependence on L and W. We also consider long-range correlations in the intensity of the wave.