OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 20 — Jul. 10, 2007
  • pp: 4197–4201

Holographic projection of arbitrary light patterns with a suppressed zero-order beam

Darwin Palima and Vincent Ricardo Daria  »View Author Affiliations


Applied Optics, Vol. 46, Issue 20, pp. 4197-4201 (2007)
http://dx.doi.org/10.1364/AO.46.004197


View Full Text Article

Enhanced HTML    Acrobat PDF (424 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present what is to our knowledge a novel technique for efficient suppression of the zero-order beam inherent in light patterns projected via phase-only computer-generated holograms (CGHs). Encoding a CGH on a spatial light modulator (SLM) with a limited fill factor produces a disturbing zero-order beam at the optical axis. Here, we propose to derive a CGH, which includes holographic information to project a corrective beam that destructively interferes with the zero-order beam. The CGH for projecting arbitrary light patterns plus a corrective beam are derived using the Gerchberg–Saxton algorithm where the iterations impose both amplitude and phase constraints for the target field pattern at the Fourier plane. As proof of principle, we analyze the viability of the technique by simulating the performance when applied on a practical SLM with a limited fill factor, fixed number of phase-shifting pixels, and wavefront distortion associated with the surface roughness of the SLM.

© 2007 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(090.2890) Holography : Holographic optical elements
(230.6120) Optical devices : Spatial light modulators

ToC Category:
Holography

History
Original Manuscript: January 31, 2007
Revised Manuscript: April 9, 2007
Manuscript Accepted: April 9, 2007
Published: June 20, 2007

Citation
Darwin Palima and Vincent Ricardo Daria, "Holographic projection of arbitrary light patterns with a suppressed zero-order beam," Appl. Opt. 46, 4197-4201 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-20-4197


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. J. Thomson, J. Liu, and M. R. Taghizadeh, "Iterative algorithm for the design of free-space diffractive optical elements for fiber coupling," Appl. Opt. 43, 1996-1999 (2004). [CrossRef] [PubMed]
  2. V. R. Daria, P. J. Rodrigo, and J. Glückstad, "Programmable complex field coupling to higher order guided modes of microstructured fibers," Opt. Commun. 232, 229-237 (2004). [CrossRef]
  3. J. E. Curtis, B. A. Koss, and D. G. Grier, "Dynamic holographic optical tweezers," Opt. Commun. 207, 169-175 (2002). [CrossRef]
  4. K. L. Tan, S. T. Warr, I. G. Manolis, T. D. Wilkinson, M. M. Redmond, W. A. Crossland, R. J. Mears, and B. W. Robertson, "Dynamic holography for optical interconnections. II. Routing holograms with predictable location and intensity of each diffraction order," J. Opt. Soc. Am. A 18, 205-215 (2001). [CrossRef]
  5. J. W. Goodman and A. M. Silvestri, "Some effects of Fourier-domain phase quantization," IBM J. Res. Develop. 14, 478-484 (1970). [CrossRef]
  6. V. Arrizon and M. Testorf, "Efficiency limit of spatially quantized Fourier array illuminators," Opt. Lett. 22, 197-199 (1997). [CrossRef] [PubMed]
  7. V. Arrizon, E. Carreon, and M. Testorf, "Implementation of Fourier array illuminators using pixelated SLM: efficiency limitations," Opt. Commun 160, 207-213 (1999). [CrossRef]
  8. M. Gruber, "Phase quantization of a grating without altering the diffraction pattern," Opt. Lett. 26, 1122-1124 (2001). [CrossRef]
  9. A. Vargas, J. Campos, M. J. Yzuel, C. Iemmi, and S. Ledesma, "One-step multichannel pattern recognition based on the pixelated structure of a spatial light modulator," Appl. Opt. 37, 2063-2066 (1998). [CrossRef]
  10. I. Moreno, J. Campos, C. Gorecki, and M. J. Yzuel, "Effects of amplitude and phase mismatching errors in the generation of a kinoform for pattern recognition," Jap. J. Appl. Phys. 34, 6423-6434 (1995). [CrossRef]
  11. M. Polin, K. Ladavac, S. Lee, Y. Roichman, and D. Grier, "Optimized holographic optical traps," Opt. Express 13, 5831-5845 (2005). [CrossRef] [PubMed]
  12. R. W. Gerchberg and W. O. Saxton, "A practical algorithm for the determination of the phase from image and diffraction plane pictures," Optik 35, 237-246 (1972).
  13. D. Palima and V. R. Daria, "Effect of spurious diffraction orders in arbitrary multi-foci patterns produced via phase-only holograms," Appl. Opt. 45, 6689-6693 (2006). [CrossRef] [PubMed]

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
 
Fig. 4
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited