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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 11, Iss. 5 — May. 1, 1994
  • pp: 1674–1679

Optical-field correction with deformable mirrors

Kai-yun Wang, Yu Qi, and Jing-wen Sun  »View Author Affiliations


JOSA A, Vol. 11, Issue 5, pp. 1674-1679 (1994)
http://dx.doi.org/10.1364/JOSAA.11.001674


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Abstract

Optical-field correction with deformable mirrors can be accomplished by correction of both amplitude and phase. As a result of developments over the past 20 years, phase correction with deformable mirrors has become a mature technology. We discuss simply the phase correction when it is concerned with field correction. The basic principle of amplitude correction with deformable mirrors is that if a certain phase distribution is constructed at the deformable mirror, after a vacuum diffraction, a certain amplitude distribution can be obtained. Some algorithms for implementing the principle have been put forward by several researchers [ KarrT. T., Proc. Soc. Photo-Opt. Instrum. Eng. 1221, 26 ( 1990); Kai-yunWang et al., Proc. Soc. Photo-Opt. Instrum. Eng. 1628, 244 ( 1992)]. But there are two problems that need to be solved. The first is that the vacuum path is too long. The second is that the precisions of these algorithms are relatively low. We describe a new algorithm, which not only yields a 1–2 order-of-magnitude reduction in the vacuum distance but also improves the amplitude correction precision.

© 1994 Optical Society of America

History
Original Manuscript: October 20, 1992
Revised Manuscript: October 25, 1993
Manuscript Accepted: October 25, 1993
Published: May 1, 1994

Citation
Kai-yun Wang, Yu Qi, and Jing-wen Sun, "Optical-field correction with deformable mirrors," J. Opt. Soc. Am. A 11, 1674-1679 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-5-1674


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References

  1. T. J. Karr, “Instabilities of atmospheric laser propagation,” in Propagation of High-Energy Laser Beams Through the Earth’s Atmosphere, P. B. Ulrich, L. E. Wilson, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1221, 26–55 (1990) [CrossRef]
  2. Wang Kai-yun, Sun Jin-wen, Zhang Wei, “Paraxial theory of amplitude correction,” in Intense Laser Beams, P. B. Ulrich, R. C. Wade, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1628, 244–252 (1992). [CrossRef]
  3. J. W. Strohbehn, “Modern theories in the propagation of optical waves in a turbulent medium,” in Laser Beam Propagation in the Atmosphere, J. W. Strohbehn, ed. (Springer-VerlagBerlin, 1978). [CrossRef]
  4. D. F. Elliot, K. Ramamohan Rao, Fast Transforms: Algorithms, Analysis, Applications (Academic, New York, 1982), p. 24.

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