Characteristic distances of truncated Airy beams in turbulent atmosphere

Xuecong Ma; Youquan Dan; Hua Wu; Yangli Ai; Wenjing Du

doi:10.1117/12.2606957

24 November 2021 Characteristic distances of truncated Airy beams in turbulent atmosphere

Xuecong Ma, Youquan Dan, Hua Wu, Yangli Ai, Wenjing Du

Proceedings Volume 12064, AOPC 2021: Optical Spectroscopy and Imaging; 120640N (2021) https://doi.org/10.1117/12.2606957
Event: Applied Optics and Photonics China 2021, 2021, Beijing, China

Abstract

The propagation characteristics, including beam propagation factor (i.e., M²-factor) and characteristic distances, of truncated Airy (TA) beams is studied in atmospheric turbulence. Based on the extended Huygens-Fresnel principle and the second moments of the Wigner distribution function (WDF), the analytical expressions of the M²-factor of the TA beam in a turbulent atmosphere are derived. By using Andrews spectrum as the atmospheric turbulence model, numerical examples of M²-factor, relative M²-factor, turbulent Rayleigh distance and turbulence distance are given. The results show that the M²-factor, which depends on the truncation factor and the initial first lobe width, decreases with the decrease of the structure constant of turbulence, and with the increase of the inner scale of turbulence. The relative M²-factor decreases with decreasing structure constant of turbulence and truncation factor and with increasing the inner scale. There exists an optimum initial first lobe width which corresponds the minimum of the M^2-factor. The turbulent Rayleigh range increases with decreasing truncation factor and inner scale. The turbulence distance increases with decreasing truncation factor and increasing inner scale.

Citation Download Citation

Xuecong Ma, Youquan Dan, Hua Wu, Yangli Ai, and Wenjing Du "Characteristic distances of truncated Airy beams in turbulent atmosphere", Proc. SPIE 12064, AOPC 2021: Optical Spectroscopy and Imaging, 120640N (24 November 2021); https://doi.org/10.1117/12.2606957

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