OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 12 — Apr. 20, 2013
  • pp: 2521–2526

Analytical design of freeform optical elements generating an arbitrary-shape curve

Leonid L. Doskolovich, Anton Y. Dmitriev, Evgeni A. Bezus, and Mikhail A. Moiseev  »View Author Affiliations


Applied Optics, Vol. 52, Issue 12, pp. 2521-2526 (2013)
http://dx.doi.org/10.1364/AO.52.002521


View Full Text Article

Enhanced HTML    Acrobat PDF (615 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A method is proposed for designing refractive optical elements focusing a collimated incident beam into a curve with specified shape. A general relationship for the freeform surface of the optical element is derived as an envelope of a parametric family of hyperboloids of revolution that focuses the incident beam into the points on the curve. Using the thin optical element approximation, the calculation of the hyperboloid parameters providing required irradiance distribution along the curve is reduced to the solution of an explicit first order differential equation. Optical elements generating line segment focus and circular arc focus are designed. The simulation results demonstrate generation of high-quality curves.

© 2013 Optical Society of America

OCIS Codes
(220.0220) Optical design and fabrication : Optical design and fabrication
(220.2945) Optical design and fabrication : Illumination design
(220.4298) Optical design and fabrication : Nonimaging optics

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: January 3, 2013
Revised Manuscript: March 1, 2013
Manuscript Accepted: March 4, 2013
Published: April 11, 2013

Citation
Leonid L. Doskolovich, Anton Y. Dmitriev, Evgeni A. Bezus, and Mikhail A. Moiseev, "Analytical design of freeform optical elements generating an arbitrary-shape curve," Appl. Opt. 52, 2521-2526 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-12-2521

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited