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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

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 5 — May. 1, 2008
  • pp: 1064–1074

Analytical optical solution of the extension of the depth of field using cubic-phase wavefront coding. Part II. Design and optimization of the cubic phase

Saeed Bagheri, Paulo E.X. Silveira, Ramkumar Narayanswamy, and Daniela Pucci de Farias  »View Author Affiliations


JOSA A, Vol. 25, Issue 5, pp. 1064-1074 (2008)
http://dx.doi.org/10.1364/JOSAA.25.001064


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Abstract

In this paper we use our derived approximate representation of the modulation transfer function to analytically solve the problem of the extension of the depth of field for two cases of interest: uniform quality imaging and task-based imaging. We derive the optimal result for each case as a function of the problem specifications. We also compare the two different imaging cases and discuss the advantages of using our optimization approach for each case. We also show how the analytical solutions given in this paper can be used as a convenient design tool as opposed to previous lengthy numerical optimizations.

© 2008 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1960) Diffraction and gratings : Diffraction theory
(080.3620) Geometric optics : Lens system design
(110.3000) Imaging systems : Image quality assessment
(110.4100) Imaging systems : Modulation transfer function

ToC Category:
Imaging Systems

History
Original Manuscript: September 26, 2007
Revised Manuscript: January 27, 2008
Manuscript Accepted: January 31, 2008
Published: April 17, 2008

Citation
Saeed Bagheri, Paulo E. X. Silveira, Ramkumar Narayanswamy, and Daniela Pucci de Farias, "Analytical optical solution of the extension of the depth of field using cubic-phase wavefront coding. Part II. Design and optimization of the cubic phase," J. Opt. Soc. Am. A 25, 1064-1074 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-5-1064


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References

  1. S. Bagheri, P. E. X. Silveira, and D. P. de Farias, “Analytical optimal solution of the extension of the depth of field using cubic-phase wavefront coding. Part I. Reduced-complexity approximate representation of the modulation transfer function,” J. Opt. Soc. Am. A 25, 1051-1063 (2008). [CrossRef]
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