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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 6 — Jun. 1, 1983
  • pp: 860–861

Strehl ratio for primary aberrations in terms of their aberration variance

Virendra N. Mahajan  »View Author Affiliations


JOSA, Vol. 73, Issue 6, pp. 860-861 (1983)
http://dx.doi.org/10.1364/JOSA.73.000860


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Abstract

The Strehl ratio for imaging systems with circular and annular pupils aberrated by primary aberrations is considered in terms of the variance σΦ2, of the phase aberration across the pupil. Classical as well as balanced (Zernike) aberrations are considered. By comparing the actual numerical results with the approximate ones, we find that exp(-σΦ2) gives a better approximation for the Strehl ratio than does the Maréchal formula. Whereas the Maréchal formula underestimates the Strehl ratio, exp(-σΦ2) generally overestimates it, especially for annular pupils with a large obscuration.

© 1983 Optical Society of America

Citation
Virendra N. Mahajan, "Strehl ratio for primary aberrations in terms of their aberration variance," J. Opt. Soc. Am. 73, 860-861 (1983)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-73-6-860

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