title: M2-factor of truncated partially coherent beams propagating through atmospheric turbulence.
abstract: A method of studying the M2-factor of truncated partially coherent beams both in free space and in turbulence is proposed, i.e., the method of the window function being expanded into a finite sum of complex-valued Gaussian functions. Taking the Gaussian Schell-model (GSM) beam as a typical example of partially coherent beams, the analytical formula of the M2-factor of truncated GSM beams propagating through atmospheric turbulence is derived. It is shown that the M2-factor decreases as the truncation parameter δ and the coherence parameter α increase. However, the M2-factor in turbulence is more sensitive to δ than that in free space. On the other hand, the M2-factor of truncated partially coherent beams with smaller δ is more affected by turbulence. In addition, the effect of turbulence on the M2-factor of truncated GSM beams is less sensitive to the coherence parameter α than that of nontruncated GSM beams.
authors.affiliation: Department of Physics, Sichuan Normal University, Chengdu 610068, China. jiXL100@163.com
authors.forename: Xiaoling
authors.initials: X
authors.lastname: Ji
authors.forename: Xiaoqing
authors.initials: X
authors.lastname: Li