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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 15 — May. 20, 2008
  • pp: 2829–2834

High diffraction efficiency from one- and two-dimensional Nyquist frequency binary-phase gratings

Jeffrey A. Davis, Brian A. Slovick, C. Stewart Tuvey, and Don M. Cottrell  »View Author Affiliations

Applied Optics, Vol. 47, Issue 15, pp. 2829-2834 (2008)

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We examine the diffraction properties of one- and two-dimensional binary-phase gratings encoded onto pixelated liquid crystal displays (LCDs). We find that the first-order diffracted intensity from these binary-phase patterns can reach 100% of the zero-order intensity when the period of the grating approaches the Nyquist limit of the LCD. Experimental results show excellent agreement with theoretical predictions. This is a surprising result that has a number of implications for the encoding of diffractive optical elements.

© 2008 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(090.1970) Holography : Diffractive optics
(230.3720) Optical devices : Liquid-crystal devices
(230.6120) Optical devices : Spatial light modulators

ToC Category:
Diffraction and Gratings

Original Manuscript: December 18, 2007
Revised Manuscript: April 22, 2008
Manuscript Accepted: April 26, 2008
Published: May 14, 2008

Jeffrey A. Davis, Brian A. Slovick, C. Stewart Tuvey, and Don M. Cottrell, "High diffraction efficiency from one- and two-dimensional Nyquist frequency binary-phase gratings," Appl. Opt. 47, 2829-2834 (2008)

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  1. J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, and I. Moreno, “Encoding amplitude information onto phase-only filters,” Appl. Opt. 38, 5004-5013 (1999). [CrossRef]
  2. J. A. Davis, D. A. Smith, D. E. McNamara, D. M. Cottrell, and J. Campos, “Fractional derivatives--Analysis and experimental implementation,” Appl. Opt. 40, 5943-5948 (2001). [CrossRef]
  3. J. B. Bentley, J. A. Davis, M. A. Bandres, and J. C. Gutiérrez-Vega, “Generation of helical Ince-Gaussian beams with a liquid crystal display,” Opt. Lett. 31, 649-651 (2006). [CrossRef] [PubMed]
  4. J. A. Davis, C. S. Tuvey, O. López-Coronado, J. Campos, M. J. Yzuel, and C. Iemmi, “Tailoring the depth of focus for optical imaging systems using a Fourier transform approach,” Opt. Lett. 32, 844-846 (2007). [CrossRef] [PubMed]
  5. H. Dammann, “Blazed synthetic phase-only holograms,” Optik (Jena) 31, 95-104 (1970).
  6. J. A. Davis, E. A. Merrill, D. M. Cottrell, and R. M. Bunch, “Effects of sampling, nonlinear recording, and binarization on the output of the joint Fourier transform correlator,” Opt. Eng. 29, 1094-1100 (1990). [CrossRef]
  7. S. Bhattacharya and R. S. Sirohi, “Amplitude checker grating from one-dimensional Ronchi grating and its application to array generation,” Appl. Opt. 36, 3745-3752 (1997). [CrossRef] [PubMed]
  8. N. McArdle and M. R. Taghizadeh, “Real-time reconfigurable interconnections for parallel optical processing,” Opt. Rev. 2, 189-193 (1995). [CrossRef]
  9. V. Arrizon and E. Lopez-Olazagasti, “Binary phase grating for array generation at 1/16 of the Talbot length,” J. Opt. Soc. Am. A 12, 801-804 (1995). [CrossRef]
  10. M. Zhu, G. Carbone, and C. Rosenblatt, “Electrically switchable, polarization-independent diffraction grating based on negative dielectric anisotropy liquid crystal,” Appl. Phys. Lett. 88, 253502 (2006). [CrossRef]
  11. C. Soutar and K. Lu, “Determination of the physical properties of an arbitrary twisted-nematic liquid crystal cell,” Opt. Eng. 33, 2704-2712 (1994). [CrossRef]
  12. J. A. Davis, D. B. Allison, K. G. D'Nelly, M. L. Wilson, and I. Moreno, “Ambiguities in measuring the physical parameters for twisted-nematic liquid crystal spatial light modulators,” Opt. Eng. 38, 705-709 (1999). [CrossRef]
  13. J. A. Davis, I. Moreno, and P. Tsai, “Polarization eigenstates for twisted-nematic liquid crystal displays,” Appl. Opt. . 37, 937-945 (1998). [CrossRef]
  14. I. Moreno, J. A. Davis, K. G. D'Nelly, and D. B. Allison, “Transmission and phase measurement for polarization eigenvectors in twisted nematic liquid crystal displays,” Opt. Eng. 37, 3048-3052 (1998). [CrossRef]
  15. J. A. Davis, J. Nicolas, and A. Marquez, “Phasor analysis of eigenvectors generated in liquid crystal displays,” Appl. Opt. 41, 4579-4584 (2002). [CrossRef] [PubMed]
  16. J. D. Gaskill, Linear Systems, Fourier Transforms, and Optics (Wiley, 1978), Chap. 7.4.

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