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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 24 — Aug. 20, 2007
  • pp: 6076–6080

Systematic design of an anastigmatic lens axicon

Alexander V. Goncharov, Anna Burvall, and Christopher Dainty  »View Author Affiliations


Applied Optics, Vol. 46, Issue 24, pp. 6076-6080 (2007)
http://dx.doi.org/10.1364/AO.46.006076


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Abstract

We present an analytical method for systematic optical design of a double-pass axicon that shows almost no astigmatism in oblique illumination compared to a conventional linear axicon. The anastigmatic axicon is a singlet lens with nearly concentric spherical surfaces applied in double pass, making it possible to form a long narrow focal line of uniform width. The front and the back surfaces have reflective coatings in the central and annular zones, respectively, to provide the double pass. Our design method finds the radii of curvatures and axial thickness of the lens for a given angle between the exiting rays and the optical axis. It also finds the optimal position of the reflecting zones for minimal vignetting. This method is based on ray tracing of the real rays at the marginal heights of the aperture and therefore is superior to any paraxial method. We illustrate the efficiency of the method by designing a test axicon with optical parameters used for a prototype axicon, which was manufactured and experimentally tested. We compare the optical characteristics of our test axicon with those of the experimental prototype.

© 2007 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.3620) Geometric optics : Lens system design
(220.2740) Optical design and fabrication : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design

History
Original Manuscript: May 30, 2007
Manuscript Accepted: June 28, 2007
Published: August 10, 2007

Citation
Alexander V. Goncharov, Anna Burvall, and Christopher Dainty, "Systematic design of an anastigmatic lens axicon," Appl. Opt. 46, 6076-6080 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-24-6076

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