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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 5 — Mar. 5, 2007
  • pp: 2219–2233

On the analysis of rotational symmetric microstructured surfaces

Pablo Benítez, Juan C. Miñano, Asunción Santamaría, and Maikel Hernández  »View Author Affiliations


Optics Express, Vol. 15, Issue 5, pp. 2219-2233 (2007)
http://dx.doi.org/10.1364/OE.15.002219


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Abstract

A previous paper [2] presented an analysis of a class of microstructured optical surfaces in two dimensions, in which a classification of the microstructures was obtained (regular and anomalous) and a concept of 2D ideal microstructures was introduced. In this paper the study of those microstructured optical surfaces is extended to three dimensions with rotational symmetry. As a starting point, non-microstructured rotational optical systems in the First Order Approximation are also classified as point-spot type and ring-spot type, with remarkable perfect particular cases. This classification is also extended to the case in which ideal microstructured rotational surfaces are used, for both regular and anomalous type. The case of perfect ring-spot type system with an odd number of rotational, anomalous, ideal microstructures enables the definition of an anomalous aplanatic system that has direct application for mixing spatially and angularly the light emitted by several sources.

© 2007 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2720) Geometric optics : Mathematical methods (general)

History
Original Manuscript: November 21, 2006
Revised Manuscript: February 9, 2007
Manuscript Accepted: February 10, 2007
Published: March 5, 2007

Citation
Pablo Benítez, Juan C. Miñano, Asunción Santamaría, and Maikel Hernández, "On the analysis of rotational symmetric microstructured surfaces," Opt. Express 15, 2219-2233 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-5-2219


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References

  1. R. Winston, J. C. Miñano, P. Benítez, Nonimaging Optics (Elsevier, 2005).
  2. P. Benítez, J. C. Miñano, and A. Santamaría, "Analysis of microstructured surfaces in two dimensions," Opt. Express 14, 8561-8567 (2006). http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-19-8561 [CrossRef] [PubMed]
  3. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, 1975).
  4. W. A. Parkyn and D. Pelka, "Compact non-imaging lens with totally internal reflecting facets," in Nonimaging Optics: Maximum Efficiency Light Transfer, R. Winston, ed., Proc. SPIE 1528, 70-81 (1991). [CrossRef]
  5. R. K. Luneburg, Mathematical theory of Optics (U. California, Berkeley, 1964), Chap. 4.
  6. D. Korsch, Reflective Optics, (Academic, New York, 1999) pg. 27.

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