In laser beam projection through the atmosphere under conditions where strong scintillation is present, real zeros can appear in the beacon field. Recent advances in phase reconstruction have enabled phase estimation from phase differences in the presence of branch points, or real zeros, in the beacon field. While it is not possible to perfectly fit a physically realizable deformable mirror to the resulting discontinuous phase, the errors in the deformable mirror figure can be minimized based on knowledge of the locations and general shape of the discontinuities. In this paper we review two approaches to reconstructing phase in the presence of branch points, and compare the performance of these approaches to each other and to a conventional least-squares phase reconstructor in a laser beam projection system.

Date Published: 5 October 1999
PDF: 9 pages
Proc. SPIE 3763, Propagation and Imaging through the Atmosphere III, (5 October 1999); doi: 10.1117/12.363625

Published in SPIE Proceedings Vol. 3763:
Propagation and Imaging through the Atmosphere III
Michael C. Roggemann; Luc R. Bissonnette, Editor(s)