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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 5 — Mar. 3, 2008
  • pp: 3484–3489

High-efficiency rotating point spread functions

Sri Rama Prasanna Pavani and Rafael Piestun  »View Author Affiliations

Optics Express, Vol. 16, Issue 5, pp. 3484-3489 (2008)

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Rotating point spread functions (PSFs) present invariant features that continuously rotate with defocus and are important in diverse applications such as computational imaging and atom/particle trapping. However, their transfer function efficiency is typically very low. We generate highly efficient rotating PSFs by tailoring the range of invariant rotation to the specific application. The PSF design involves an optimization procedure that applies constraints in the Gauss-Laguerre modal plane, the spatial domain, and the Fourier domain. We observed over thirty times improvement in transfer function efficiency. Experiments with a phase-only spatial light modulator demonstrate the potential of high-efficiency rotating PSFs.

© 2008 Optical Society of America

OCIS Codes
(110.4850) Imaging systems : Optical transfer functions
(110.6880) Imaging systems : Three-dimensional image acquisition
(150.5670) Machine vision : Range finding
(110.1758) Imaging systems : Computational imaging
(350.4855) Other areas of optics : Optical tweezers or optical manipulation

ToC Category:
Imaging Systems

Original Manuscript: December 21, 2007
Revised Manuscript: February 9, 2008
Manuscript Accepted: February 20, 2008
Published: February 29, 2008

Virtual Issues
Vol. 3, Iss. 4 Virtual Journal for Biomedical Optics

Sri Rama Prasanna Pavani and Rafael Piestun, "High-efficiency rotating point spread functions," Opt. Express 16, 3484-3489 (2008)

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  1. Y. Y. Schechner, R. Piestun, and J. Shamir, "Wave propagation with rotating intensity distributions," Phys. Rev. E 54, R50-R53 (1996). [CrossRef]
  2. V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, "An algorithm for the generation of laser beams with longitudinal periodicity: rotating images," J. Mod. Opt. 44, 1409-1416 (1997). [CrossRef]
  3. R. Piestun, Y. Y. Schechner, and J. Shamir, "Propagation-invariant wave fields with finite energy," J. Opt. Soc. Am. A 17, 294-303 (2000). [CrossRef]
  4. S. N. Khonina, V. V. Kotlyar, V. A. Soifer, M. Honkanen, J. Lautanen, and J. Turunen, "Generation of rotating Gauss-Laguerre modes with binary-phase diffractive optics," J. Mod. Opt. 46, 227-238 (1999).
  5. E. G. Abramochkin and V. G. Volostnikov, "Spiral light beams," Phys.-Usp. 47, 1177-1203 (2004). [CrossRef]
  6. A. Y. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, "Angular momentum of a rotating light beam," Opt. Comm. 249, 367-378 (2005). [CrossRef]
  7. N. B. Simpson, L. Allen, and M. J. Padgett, "Optical tweezers and optical spanners with Laguerre-Gaussian modes," J. of Mod. Opt. 43, 2485-2491 (1996). [CrossRef]
  8. M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, "Creation and manipulation of three-dimensional optically trapped structures," Science 296, 1101-1103 (2002). [CrossRef] [PubMed]
  9. R. Grimm, M. Weidemuller, and Y. B. Ovchinnikov, "Optical dipole traps for neutral atoms," Adv. At. Mol. Opt. Phys. 42, 95-170 (2000). [CrossRef]
  10. A. Greengard, Y. Y. Schechner, and R. Piestun, "Depth from diffracted rotation," Opt. Lett. 31, 181-183 (2006). [CrossRef] [PubMed]
  11. W. H. Lee, "Computer-generated holograms: techniques and applications," in Progress in Optics, E. Wolf, ed. (Elsevier, 1978), Chap. 3.
  12. R. Piestun, B. Spektor, and J. Shamir, "Wave fields in three dimensions: analysis and synthesis," J. Opt. Soc. Am. A 13, 1837-1848 (1996). [CrossRef]
  13. R. Piestun and J. Shamir, "Control of wave-front propagation with diffractive elements," Opt. Lett. 19, 771-773 (1994). [CrossRef] [PubMed]

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