OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 3 — Mar. 1, 2010
  • pp: 598–601

Reflecting profiles that produce a given phase distribution of light

C. Criado and N. Alamo  »View Author Affiliations


JOSA A, Vol. 27, Issue 3, pp. 598-601 (2010)
http://dx.doi.org/10.1364/JOSAA.27.000598


View Full Text Article

Enhanced HTML    Acrobat PDF (112 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We give a method to construct, for a given surface and a point source, a one-parametric family of reflecting profiles, each of them with the characteristic property of producing a predetermined phase distribution of light that from the point source is incident on that surface after reflection at the profile. The profiles are constructed as the envelopes of specific families of ellipsoids of revolution. We also study the singularities of these profiles.

© 2010 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design
(080.4035) Geometric optics : Mirror system design

History
Original Manuscript: September 2, 2009
Revised Manuscript: January 11, 2010
Manuscript Accepted: January 22, 2010
Published: February 25, 2010

Citation
C. Criado and N. Alamo, "Reflecting profiles that produce a given phase distribution of light," J. Opt. Soc. Am. A 27, 598-601 (2010)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-3-598


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. C. Criado and N. Alamo, “Optical properties of conics: a method for obtaining reflecting and focusing profiles,” Opt. Commun. 167, 83-88 (1999). [CrossRef]
  2. V. I. Oliker, “On reconstructing a reflecting surface from the scattering data in the geometric optics approximation,” Inverse Probl. 5, 51-65 (1989). [CrossRef]
  3. S. A. Kochengin and V. I. Oliker, “Determination of reflector surfaces from near-field scattering data,” Inverse Probl. 13, 363-373 (1997). [CrossRef]
  4. P. Benítez, J. C. Miñano, J. Blen, R. Mohedano, J. Chaves, O. Dross, M. Hernández, and W. Falicoff “Simultaneous multiple surface optical design method in three dimensions,” Opt. Eng. 43, 1489-1502 (2004). [CrossRef]
  5. R. Courant, Differential and Integral Calculus (Wiley-Interscience, 1968), p. 181.
  6. E. Goursat, A Course in Mathematical Analysis, Vol. I (Dover, 1959), p. 220.
  7. D. J. Struik, Lectures on Classical Differential Geometry (Dover, 1988), p. 75.
  8. V. I. Arnold, Catastrophe Theory (Springer-Verlag, 1983), p. 33.
  9. V. I. Arnold and A. B. Givental, “Simplectic geometry,” in Dynamical Systems IV (Springer-Verlag, 1990), p. 85.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited