Abstract
Using a non-Kolmogorov power spectrum, analytical expressions for the beam width, angular spread and M
2-factor of elegant Hermite–Gaussian (EHG) beams through non-Kolmogorov turbulence are derived. It is shown that the beam-width spreading, angular spread and M
2-factor of EHG beams through non-Kolmogorov turbulence depend on the non-Kolmogorov turbulence, i.e. on the generalised exponent parameter, , the inner scale, l
0, and the outer scale, L
0, at a sufficient propagation distance. They increase with increasing outer scale for 3.6<
<4, and with decreasing inner scale. Only at a shorter propagation distance is the effect of turbulence on the beam-width spreading and M
2-factor negligible. The results are interpreted physically.
Acknowledgements
This work is supported by Science Foundation of Sichuan Provincial Education Department under Grant No. 10ZC032, and the Natural Science Foundation of Yibin University under Grant No. 2010B14.