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31 August 2017 OAM of beam waves in random inhomogeneous medium
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For paraxial propagation of scalar waves classic electromagnetic theory definitions of transverse linear (TLM) and orbital angular (OAM) momenta of beam waves are simply related to the wave coherence function. This allows the extension of the TLM and OAM density concepts to the case of partially coherent waves. This is also makes possible to use the parabolic equations technique to describe TLM and OAM evolution on propagation. We show that both total TLM and OAM are conserved for the free space propagation, but not for propagation in inhomogeneous medium in general. Under Markov Approximation (MA), in the presence of the random statistically homogeneous medium the total TLM and OAM are conserved in average. Based on the MA parabolic equation for the fourth-order coherence function, we examine for evolution of the total OAM variance. Perturbation solution of this equation shows that the OAM fluctuations in general grow approximately linearly with the propagation path length. However, this growth appears to be slower for the beams with rotation-symmetric irradiance.
Conference Presentation
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Mikhail Charnotskii "OAM of beam waves in random inhomogeneous medium", Proc. SPIE 10408, Laser Communication and Propagation through the Atmosphere and Oceans VI, 104080K (31 August 2017);

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