Abstract

The resolution of images formed from turbulence-degraded lensless Fourier-transform holograms is analyzed for gaussian and exponential refractive-index structure function models, first by a geometrical-optics method and then by Schmeltzer’s series-expansion method, under the assumption that the random log-amplitude and phase perturbations across the entrance pupil of the recording apparatus are locally stationary processes with gaussian statistics. Both long and short exposures are treated.

The resolution of turbulence-degraded holographic images is governed primarily by a function m2(r1), for which analytical expressions are derived and results of experimental measurements are given. The analytical results obtained for m2(r1) by the geometrical-optics method are identical with those obtained by Schmeltzer’s series-expansion method. The measurements were made by an interferometric technique for horizontal atmospheric propagation paths of 86 and 542 m. In addition, holographic images of an extended object were obtained for the 86-m path.

© 1969 Optical Society of America

Full Article  |  PDF Article
Related Articles
Estimation of the adaptive optics long-exposure point-spread function using control loop data

Jean-Pierre Véran, François Rigaut, Henri Maı̂tre, and Daniel Rouan
J. Opt. Soc. Am. A 14(11) 3057-3069 (1997)

Optical propagation in laboratory-generated turbulence

Richard A. Elliott, J. Richard Kerr, and Philip A. Pincus
Appl. Opt. 18(19) 3315-3323 (1979)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (14)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (52)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription