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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 3 — Mar. 1, 1977
  • pp: 306–314

The multidither principle in adaptive optics

T. R. O’Meara  »View Author Affiliations


JOSA, Vol. 67, Issue 3, pp. 306-314 (1977)
http://dx.doi.org/10.1364/JOSA.67.000306


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Abstract

Coherent optical adaptive techniques (COAT) offer promise for overcoming the deleterious effects of phase distortions experienced by optical beams propagating through distorting optics or via a turbulent and absorbing atmosphere. The theory of four classes of such systems, which employ similar multidither principles, is explored. Many modes of operating these systems are briefly reviewed and a detailed analysis of the most widely employed—a glint referencing system with sinusoidal dithers—is developed. A servo signal-to-noise analysis indicates how the optimum choice of dither magnitude depends on the system noise.

© 1977 Optical Society of America

Citation
T. R. O’Meara , "The multidither principle in adaptive optics," J. Opt. Soc. Am. 67, 306-314 (1977)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-67-3-306


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References

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  5. T. R. O'Meara, U.S. Patent 3,731,103, "Adaptive Arrays" (May 1, 1973) (unpublished).
  6. T. R. O'Meara, U.S. Patent 3,764,213, "Return-Wave, Phase Controlled Adaptive Array" (October 9, 1973) (U. S. Patent Office, Washington, D. C.).
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  21. Insofar as can be determined by us, the first use of the acronym was in the context "coherent optical array techniques," and the original motivation was for the cophasing of multiple low-power laser oscillators. There has been a tendency in recent years to employ a one-to-one correspondence between specific proprietary adaptive optical systems and acronyms. However, we have always employed the term COAT in the larger or generic sense.
  22. For long-range operation, the phase of the detected signal will be delayed by the round-trip propagation time, and the reference signal must be similarly delayed.
  23. All correctly operating systems ideally introduce the phase conjugate of path distortions. We reserve the term (after microwave terminology) to refer to return-wave systems with heterodyne extraction of phase error information.
  24. T. R. O'Meara, "Stability of an N-loop ensemble-reference phase control system," J. Opt. Soc. Am. 67, 315–318 (1977) (following paper).
  25. The piston elements may be one-dimensional or two-dimensional, commonly square, circular, or hexagonal.
  26. Any tilt component of øen which is common to all elements is assumed to be absorbed in a translation of x′.

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