The method of constrained iteration is used to deconvolve measured histograms of intensity fluctuations of a laser beam propagated through atmospheric turbulence. The histograms are blurred by noise and background contributions in consequence of the combination law of probability-density functions. The deconvolution is applied first without constraint and then with the physical condition of positivity of the counting values. A criterion for properly stopping the iteration is also presented. The results are checked by evaluating the moments and comparing them with those previously obtained from direct noise and background removal.
© 1993 Optical Society of America
Original Manuscript: November 30, 1992
Revised Manuscript: March 29, 1993
Manuscript Accepted: March 30, 1993
Published: September 1, 1993
F. Cochetti and A. Consortini, "Deconvolution of noise by a numerical method in laser atmospheric scintillation," J. Opt. Soc. Am. A 10, 1984-1988 (1993)