Abstract
A method of studying the -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 -factor of truncated GSM beams propagating through atmospheric turbulence is derived. It is shown that the -factor decreases as the truncation parameter δ and the coherence parameter α increase. However, the -factor in turbulence is more sensitive to δ than that in free space. On the other hand, the -factor of truncated partially coherent beams with smaller δ is more affected by turbulence. In addition, the effect of turbulence on the -factor of truncated GSM beams is less sensitive to the coherence parameter α than that of nontruncated GSM beams.
© 2011 Optical Society of America
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