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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 64, Iss. 4 — Apr. 1, 1974
  • pp: 453–458

Degrees of freedom of images from point-like-element pupils

F. Gori and G. Guattari  »View Author Affiliations


JOSA, Vol. 64, Issue 4, pp. 453-458 (1974)
http://dx.doi.org/10.1364/JOSA.64.000453


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Abstract

The eigenfunctions of the integral equation describing the image-formation process are used for studying the degrees of freedom of coherent images from point-like-element pupils. The possibility of determining the number of effective degrees of freedom without solving the integral equation is demonstrated for an important class of cases. Finally, the number of effective degrees of freedom is explicitly calculated for cases of practical interest.

Citation
F. Gori and G. Guattari, "Degrees of freedom of images from point-like-element pupils," J. Opt. Soc. Am. 64, 453-458 (1974)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-64-4-453


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References

  1. F. Gori and G. Guattari, J. Opt. Soc. Am. 61, 36 (1971).
  2. G. Toraldo di Francia, J. Opt. Soc. Am. 59, 799 (1969).
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  15. The function R(x) can be considered as a solution of Eq. (3) corresponding to the eigenvalue λ = 0. In what follows, however, we will mean by eigenvalues only the λ's that differ from zero.
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