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BEAM PROPAGATION FACTOR OF PARTIALLY COHERENT LAGUERRE --- GAUSSIAN BEAMS IN NON-KOLMOGOROV TURBULENCE

By H. Luo, H. Xu, Z. Cui, and J. Qu

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Abstract:
In order to study beam-propagation factor (M2-factor) of partially coherent Laguerre-Gaussian (PCLG) beams in non-Kolmogorov turbulence, a generalized exponent and a generalized amplitude factor are introduced. Based on the extended Huygens-Fresnel principle and second-order moments of the Wigner distribution function (WDF), the analytical formula of M2-factor for PCLG beams in non-Kolmogorov turbulence is derived. The corresponding numerical results are also calculated. Results show that for PCLG beams propagating in non-Kolmogorov turbulence, the bigger the beam order or outer scale is, or the smaller the correlation length, C2n, or inner scale is, the smaller the value of the normalized M2-factor is. Furthermore, the normalized M2-factor of PLG beams increases with the increasing of α until it reaches the maximum point, then it gradually decreases with the increasing of α. 2

Citation:
H. Luo, H. Xu, Z. Cui, and J. Qu, "Beam Propagation Factor of Partially Coherent Laguerre --- Gaussian Beams in Non-Kolmogorov Turbulence," Progress In Electromagnetics Research M, Vol. 22, 205-218, 2012.
doi:10.2528/PIERM11102203

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