Beam Quality Factor of Partially Coherent Airy Beam in Non-Kolmogorov Turbulence

A universal formula of the beam quality factor for a partially coherent Airy (PCA) beam in non-Kolmogorov turbulence has been investigated. Results of numerical simulation display that expanding the internal scales of non-Kolmogorov turbulence is good for decreasing the beam quality factor of a PCA beam. Another benefit of reducing the beam quality factor is decreasing the generalized structure constant and the outer scales of non-Kolmogorov turbulence. Similarly, the quality factor decreases with increasing transverse scale of a PCA beam. In the meantime, decreasing a laser beam’s coherence length also leads to the quality factor’s degeneration. What is more, the beam quality factor reaches the maximum value as the generalized exponent parameter of the turbulence is 3.1.