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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 26 — Sep. 10, 2009
  • pp: 4893–4898

Fourier transform pupil functions for modifying the depth of focus of optical imaging systems

Jeffrey A. Davis, B. Melvin L. Pascoguin, C. Stewart Tuvey, and Don M. Cottrell  »View Author Affiliations


Applied Optics, Vol. 48, Issue 26, pp. 4893-4898 (2009)
http://dx.doi.org/10.1364/AO.48.004893


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Abstract

We use a Fourier transform approach to design pupil functions that modify the axial depth of focus for an optical system. We extend previous research in several ways. We first extend the depth of focus to 4 cm for a 38 cm focal length lens. We show that the transverse size of the focused beam is the same as for an open pupil. We then multiply the pupil function by a circular harmonic window function. The entire depth of focus is now characterized by a vortex beam. Finally we multiply our original pupil function by an edge-enhancing window function. Now the pupil function produces two sharp focus spots at the locations corresponding to the edges of the rectangle function.

© 2009 Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(110.2990) Imaging systems : Image formation theory
(230.6120) Optical devices : Spatial light modulators
(050.4865) Diffraction and gratings : Optical vortices

ToC Category:
Imaging Systems

History
Original Manuscript: May 18, 2009
Manuscript Accepted: August 12, 2009
Published: September 1, 2009

Citation
Jeffrey A. Davis, B. Melvin L. Pascoguin, C. Stewart Tuvey, and Don M. Cottrell, "Fourier transform pupil functions for modifying the depth of focus of optical imaging systems," Appl. Opt. 48, 4893-4898 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-26-4893

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