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Applied Optics

Applied Optics


  • Vol. 44, Iss. 23 — Aug. 10, 2005
  • pp: 4870–4873

Tunable three-dimensional intensity distribution by a pure phase-shifting apodizer

Xiumin Gao, Zhou Fei, Wendong Xu, and Fuxi Gan  »View Author Affiliations

Applied Optics, Vol. 44, Issue 23, pp. 4870-4873 (2005)

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The three-dimensional distribution of light intensity that is modulated by a pure phase-shifting apodizer is studied. Results show that the Strehl ratio can be altered by the proposed apodizer and by the waist width of incident Gaussian beams. By changing geometrical parameters of the proposed apodizer, we can increase the focal depth to several times that of the original system. The proposed apodizer can also be used to realize focal splitting and local minimum of intensity, which may be advantageous for constructing an optical trap. Furthermore, the local minimum of intensity number is tunable by changing the parameters of the apodizer.

© 2005 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1970) Diffraction and gratings : Diffractive optics
(050.5080) Diffraction and gratings : Phase shift
(140.7010) Lasers and laser optics : Laser trapping
(220.1230) Optical design and fabrication : Apodization
(220.2560) Optical design and fabrication : Propagating methods

Original Manuscript: February 17, 2004
Manuscript Accepted: February 25, 2005
Published: August 10, 2005

Xiumin Gao, Zhou Fei, Wendong Xu, and Fuxi Gan, "Tunable three-dimensional intensity distribution by a pure phase-shifting apodizer," Appl. Opt. 44, 4870-4873 (2005)

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  1. W. T. Welford, “Use of annular aperture to increase focal depth,” J. Opt. Soc. Am. A 50, 749–753 (1960). [CrossRef]
  2. J. Ojeda-Castaneda, L. R. Berriel, E. Montes, “Spatial filter for increasing the depth of focus,” Opt. Lett. 10, 520–522 (1985). [CrossRef] [PubMed]
  3. G. Indebetouw, H. Bai, “Imaging with Fresnel zone pupil masks: extended depth of field,” Appl. Opt. 23, 4299–4302 (1984). [CrossRef] [PubMed]
  4. J. T. McCrikerd, “Coherent processing and depth of focus of annular aperture imagery,” Appl. Opt. 10, 2226–2230 (1971). [CrossRef]
  5. R. J. Pieper, A. Korpel, “Image processing for extended depth of field,” Appl. Opt. 22, 1449–1453 (1983). [CrossRef] [PubMed]
  6. J. Ojeda-Castaneda, A. Diaz, “High focal depth by quasi-bifocus,” Appl. Opt. 27, 4163–4165 (1988). [CrossRef]
  7. S. Sanyal, A. Ghosh, “High focal depth with a quasi-bifocus birefringent lens,” Appl. Opt. 39, 2321–2325 (2000). [CrossRef]
  8. H. Wang, F. Gan, “High focal depth with a pure-phase apodizer,” Appl. Opt. 40, 5658–5662 (2001). [CrossRef]
  9. H. Wang, F. Gan, “Phase-shifting apodizers for increasing focal depth,” Appl. Opt. 41, 5263–5266 (2002). [CrossRef] [PubMed]
  10. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, S. Chu, “Observation of a single-beam gradient force optical trap for dielectric particles,” Opt. Lett. 11, 288–290 (1986). [CrossRef] [PubMed]
  11. M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, K. Dholakia, “Creation and manipulation of three-dimensional optically trapped structures,” Science 296, 1101–1103 (2002). [CrossRef] [PubMed]
  12. J. Arlt, M. J. Padgett, “Generation of a beam with a dark focus surrounded by regions of higher intensity: the optical bottle beam,” Opt. Lett. 25, 191–193 (2000). [CrossRef]
  13. G. Gbur, T. D. Visser, “Can spatial coherence effects produce a local minimum of intensity at focus?” Opt. Lett. 28, 1627–1629 (2003). [CrossRef] [PubMed]
  14. D. Ganic, X. Gan, M. Gu, M. Hain, S. Somalingam, S. Stankovic, T. Tschudi, “Generation of doughnut laser beams by use of a liquid-crystal cell with a conversion efficiency near 100%,” Opt. Lett. 27, 1351–1353 (2002). [CrossRef]

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