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.

Automated summary

This study investigates a universal formula for the beam quality factor of a partially coherent Airy (PCA) beam in non-Kolmogorov turbulence. Numerical simulation results show that expanding the internal scales of non-Kolmogorov turbulence is beneficial for reducing the beam quality factor of a PCA beam. Another advantage is that reducing the quality factor also leads to a decrease in the generalized structure constant and the outer scales of non-Kolmogorov turbulence. Additionally, the quality factor decreases as the transverse scale of the PCA beam increases. Furthermore, decreasing the coherence length of the laser beam results in the degeneration of the quality factor. Moreover, the beam quality factor reaches its maximum value when the generalized exponent parameter of the turbulence is 3.1.