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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 5 — Feb. 27, 2012
  • pp: 5576–5585

Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles

Fabian Duerr, Pablo Benítez, Juan C. Miñano, Youri Meuret, and Hugo Thienpont  »View Author Affiliations


Optics Express, Vol. 20, Issue 5, pp. 5576-5585 (2012)
http://dx.doi.org/10.1364/OE.20.005576


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Abstract

In this work, a new two-dimensional optics design method is proposed that enables the coupling of three ray sets with two lens surfaces. The method is especially important for optical systems designed for wide field of view and with clearly separated optical surfaces. Fermat’s principle is used to deduce a set of functional differential equations fully describing the entire optical system. The presented general analytic solution makes it possible to calculate the lens profiles. Ray tracing results for calculated 15th order Taylor polynomials describing the lens profiles demonstrate excellent imaging performance and the versatility of this new analytic design method.

© 2012 OSA

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design

History
Original Manuscript: December 9, 2011
Revised Manuscript: February 9, 2012
Manuscript Accepted: February 15, 2012
Published: February 22, 2012

Citation
Fabian Duerr, Pablo Benítez, Juan C. Miñano, Youri Meuret, and Hugo Thienpont, "Analytic design method for optimal imaging: coupling three ray sets using two free-form lens profiles," Opt. Express 20, 5576-5585 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-5-5576


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References

  1. M. Born and E. Wolf, Principles of Optics (Pergamon Press, 1986).
  2. P. Mouroulis and J. Macdonald, Geometrical Optics and Optical Design (Oxford University Press, USA, 1997).
  3. J. Chaves, Introduction to Nonimaging Optics (CRC, 2008). [CrossRef]
  4. D. Grabovičkić, P. Benítez, and J.C. Miñano, “Aspheric V-groove reflector design with the SMS method in two dimensions,” Opt. Express18, 2515–2521 (2010). [CrossRef]
  5. J.C. Miñano, P. Benítez, W. Lin, J. Infante, F. Muñoz, and A. Santamaría, “An application of the SMS method for imaging designs,” Opt. Express17, 24036–24044 (2009). [CrossRef]
  6. A. Friedman and J.B. McLeod, “Optimal design of an optical lens,” Arch. Rational Mech. Anal.99, 147–164 (1987). [CrossRef]
  7. A. Friedman and J.B. McLeod, “An optical lens for focusing two pairs of points,” Arch. Rational Mech. Anal.101, 57–83 (1988). [CrossRef]
  8. J.C.W. Rogers, “Existence, uniqueness and construction of the solution of a system of ordinary functional differential equations with applications to the design of a perfectly focusing symmetric lens,” IMA J. Appl. Math.41, 105–134 (1988). [CrossRef]
  9. B. van Brunt and J.R. Ockendon, “A lens focusing light at two different wavelengths,” J. Math. Anal. App.165, 156–179 (1992). [CrossRef]
  10. B. van Brunt, “Mathematical possibility of certain systems in geometrical optics,” J. Opt. Soc. Am. A11, 2905–2914 (1994). [CrossRef]

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