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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 6 — Mar. 19, 2007
  • pp: 3031–3046

Ray aberrations analysis for phase plates illuminated by off-axis collimated beams

Wenzi Zhang, Zi Ye, Yanping Chen, Tingyu Zhao, and Feihong Yu  »View Author Affiliations


Optics Express, Vol. 15, Issue 6, pp. 3031-3046 (2007)
http://dx.doi.org/10.1364/OE.15.003031


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Abstract

Approximate expressions of the ray aberrations for off-axis collimated beams and free form phase plates with a small derivative magnitude are derived with the defocus aberration taken into account. The cubic phase plate, which is one of the most commonly used phase plates in wavefront coding imaging systems, is illustrated as an example. The approximate expressions for the upper and lower boundaries of ray map, and the spot size in the vicinity of the focal plane are derived. The sensitivity to the defocus aberration and the variation of the induced aberrations with respect to the field positions are analyzed with derived approximate expressions as well. Some characteristics unmentioned before are derived, showing a good agreement with the exact aberrations. Finally some useful guidelines are given for the design of imaging systems with phase plates.

© 2007 Optical Society of America

OCIS Codes
(080.1510) Geometric optics : Propagation methods
(220.1010) Optical design and fabrication : Aberrations (global)
(220.1250) Optical design and fabrication : Aspherics

History
Original Manuscript: November 22, 2006
Revised Manuscript: January 17, 2007
Manuscript Accepted: February 20, 2007
Published: March 19, 2007

Citation
Wenzi Zhang, Zi Ye, Yanping Chen, Tingyu Zhao, and Feihong Yu, "Ray aberrations analysis for phase plates illuminated by off-axis collimated beams," Opt. Express 15, 3031-3046 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-6-3031


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