Effective radius of curvature of Hermite-Gaussian beams propagating through non-Kolmogorov turbulence

By using the extended Huykens-Fresnel principle and non-Kolmogorov spectrum, the analytical expression for the effective radius of curvature of Hermite-Gaussian (H-G) beams propagating through non-Kolmogorov turbulence is derived. It is shown that the effective radius of curvature of H-G beams in non-Kolmogorov turbulence depends on the generalized exponent parameter a, inner scale l(0), outer scale L-0, and propagation distance z. The effective radius of curvature of H-G beams increases with decreasing outer scale L-0 for 3.6 < alpha < 4 and the increasing inner scale l(0), but dose not monotonously vary with increasing exponent parameter a and propagation distance z. The results are interpreted physically. (C) 2011 Elsevier GmbH. All rights reserved.