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Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Alan E. Willner
  • Vol. 38, Iss. 18 — Sep. 15, 2013
  • pp: 3546–3549

Exact solution to simultaneous intensity and phase encryption with a single phase-only hologram

Eliot Bolduc, Nicolas Bent, Enrico Santamato, Ebrahim Karimi, and Robert W. Boyd  »View Author Affiliations


Optics Letters, Vol. 38, Issue 18, pp. 3546-3549 (2013)
http://dx.doi.org/10.1364/OL.38.003546


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Abstract

A phase-only hologram applies a modal transformation to an optical transverse spatial mode via phase encoding and intensity masking. Accurate control of the optical field crucially depends on the method employed to encode the hologram. In this Letter, we present a method to encode the amplitude and the phase of an optical field into a phase-only hologram, which allows the exact control of spatial transverse modes. Any intensity masking method modulates the amplitude and alters the phase of the optical field. Our method consists in correcting for this unwanted phase alteration by modifying the phase encryption accordingly. We experimentally verify the accuracy of our method by applying it to the generation and detection of transverse spatial modes in mutually unbiased bases of dimension two and three.

© 2013 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(090.1760) Holography : Computer holography
(100.5090) Image processing : Phase-only filters
(270.5568) Quantum optics : Quantum cryptography
(260.6042) Physical optics : Singular optics

ToC Category:
Holography

History
Original Manuscript: July 19, 2013
Revised Manuscript: August 12, 2013
Manuscript Accepted: August 13, 2013
Published: September 5, 2013

Citation
Eliot Bolduc, Nicolas Bent, Enrico Santamato, Ebrahim Karimi, and Robert W. Boyd, "Exact solution to simultaneous intensity and phase encryption with a single phase-only hologram," Opt. Lett. 38, 3546-3549 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-18-3546


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References

  1. W. S. Hell, Science 316, 1153 (2007). [CrossRef]
  2. H. He, N. R. Heckenberg, and H. Rubinsztein-Dunlop, J. Mod. Opt. 42, 217 (1995). [CrossRef]
  3. L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001). [CrossRef]
  4. G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pasko, S. M. Barnett, and S. Franke-Arnold, Opt. Express 12, 5448 (2004). [CrossRef]
  5. S. Franke-Arnold, L. Allen, and M. Padgett, Laser Photon. Rev. 2, 299 (2008). [CrossRef]
  6. J. A. Neff, R. A. Athale, and S. H. Lee, Proc. IEEE 78, 826 (1990). [CrossRef]
  7. V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 39, 985 (1992). [CrossRef]
  8. V. A. Soifer, eds., Methods for Computer Design of Diffractive Optical Elements (Wiley, 2002).
  9. J. P. Kirk and A. L. Jones, J. Opt. Soc. Am. 61, 1023 (1971). [CrossRef]
  10. J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, Appl. Opt. 38, 5004 (1999). [CrossRef]
  11. J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, New J. Phys. 7, 55 (2005). [CrossRef]
  12. V. Arrizón, U. Ruiz, R. Carrada, and L. A. González, J. Opt. Soc. Am. A 24, 3500 (2007). [CrossRef]
  13. T. Ando, Y. Ohtake, N. Matsumoto, T. Inoue, and N. Fukuchi, Opt. Lett. 34, 34 (2009). [CrossRef]
  14. W. K. Wootters and B. D. Fields, Ann. Phys. 191, 363 (1989). [CrossRef]
  15. M. J. Padgett and J. Courtial, Opt. Lett. 24, 430 (1999). [CrossRef]
  16. M. Wieśniak, T. Paterek, and A. Zeilinger, New J. Phys. 13, 053047 (2011). [CrossRef]
  17. V. D’Ambrosio, F. Cardano, E. Karimi, E. Nagali, E. Santamato, L. Marrucci, and F. Sciarrino, arXiv:1304.4081.
  18. The similarity is defined as S=((∑i,jPijPij′)2/∑i,jPij∑i,jPij′), where P and P′ stand for experimental and expected theoretical projection matrix.

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