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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 1 — Jan. 1, 1980
  • pp: 28–35

Least-squares wave front errors of minimum norm

Jan Herrmann  »View Author Affiliations


JOSA, Vol. 70, Issue 1, pp. 28-35 (1980)
http://dx.doi.org/10.1364/JOSA.70.000028


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Abstract

Requirements for adaptive optics and compensating imaging systems lead to wave front reconstruction problems which we formulate as generalized least-squares problems. For a given array of phase-difference measurements, we construct explicit and exact solutions for the least-squares wave front error. Of particular interest are solutions with minimum norm. Two different discretizations for the gradient are used and the reasons for the different results are given.

© 1980 Optical Society of America

Citation
Jan Herrmann, "Least-squares wave front errors of minimum norm," J. Opt. Soc. Am. 70, 28-35 (1980)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-70-1-28


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References

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  2. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1961), Chap. 15.
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  10. W. H. Kim and H. E. Meadows, Jr., Modern Network Analysis (Wiley, New York, 1971), Chap. 3.

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