Grid-free 3D multiple spot generation with an efficient single-plane FFT-based algorithm

Optics Express

Volumn 17, Issue 12, 2009, Pages 9989-10000

  Engström, David ^a   Frank, Anders ^b   Backsten, Jan ^b   Goksör, Mattias ^a   Bengtsson, Jörgen ^b  

^a UNIVERSITY OF GOTHENBURG   (Sweden)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

DESIGN; LIGHT MODULATION; LIGHT MODULATORS; LIQUID CRYSTALS; OPTIMIZATION;

COMPUTATIONAL COSTS; COMPUTER GENERATED HOLOGRAMS; CONVENTIONAL DESIGN; CONVENTIONAL METHODS; FIELD DISTRIBUTION; GERCHBERG-SAXTON ALGORITHM; INFORMATION-CARRYING CAPACITY; LIQUID CRYSTAL SPATIAL LIGHT MODULATORS;

FAST FOURIER TRANSFORMS;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; FOURIER ANALYSIS; HOLOGRAPHY; METHODOLOGY; SIGNAL PROCESSING; THREE DIMENSIONAL IMAGING;

ALGORITHMS; FOURIER ANALYSIS; HOLOGRAPHY; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 66849143709     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.17.009989     Document Type: Article

References (34)

1. M. Kajanto, E. Byckling, J. Fagerholm, J. Heikonen, J. Turunen, A. Vasara, and A. Salin, "Photolithographic fabrication method of computer-generated holographic interferograms," Appl. Opt. 28, 778-784 (1989).
2. J. Bengtsson, N. Eriksson, and A. Larsson, "Small-feature-size fan-out kinoform etched in GaAs," Appl. Opt. 35, 801-806 (1996).
3. E. Marom and N. Konforti, "Dynamic optical interconnections," Opt. Lett. 12, 539-541 (1987).
4. P. F. McManamon, T. A. Dorschner, D. L. Corkum, L. J. Friedman, D. S. Hobbs, M. Holtz, S. Liberman, H. Q. Nguyen, D. P. Resler, R. C. Sharp, and E. A. Watson, "Optical phased array technology," Proc. SPIE 84, 268-298 (1996).
5. E. Hällstig, J. Öhgren, L. Allard, L. Sjöqvist, D. Engström, S. Hård, D. Ågren, S. Junique, Q. Wang, and B. Noharet, "Retrocommunication utilizing electroabsorption modulators and non-mechanical beam steering," Opt. Eng. 44, 45001-1-8 (2005).
6. D. Engström, M. J. O'Callaghan, C. Walker, and M. A. Handschy, "Fast beam steering with a ferroelectric-liquid-crystal optical phased array," Appl. Opt. 48, 1721-1726 (2009).
7. M. Reicherter, T. Haist, E. U. Wagemann, and H. J. Tiziani, "Optical particle trapping with computer-generated holograms written on a liquid-crystal display," Opt. Lett. 24, 608-610 (1999).
8. E. R. Dufresne, G. C. Spalding, M. T. Dearing, S. A. Sheets, and D. G. Grier, "Computer-generated holographic optical tweezer arrays," Rev. Sci. Instrum. 72, 1810-1816 (2001).
9. D. G. Grier, "A revolution in optical manipulation," Nature 424, 810-816 (2003).
10. E. Eriksson, D. Engström, J. Scrimgeour, M. Goksör, "Automated focusing of nuclei for time lapse experiments on single cells using holographic optical tweezers," Opt. Express 17, 5585-5594 (2009).
11. M. A. Seldowitz, J. P. Allebach, and D. W. Sweeney, "Synthesis of digital holograms by direct binary search," Appl. Opt. 26, 2788-2798 (1987).
12. B. K. Jennison, J. P. Allebach, and D. W. Sweeney, "Efficient design of direct-binary-search computer-generated holograms," J. Opt. Soc. Am. A 8, 652-660 (1991).
13. G. Milewski, D. Engstrom, and J. Bengtsson, "Diffractive optical elements designed for highly precise far-field generation in the presence of artifacts typical for pixelated spatial light modulators," Appl. Opt. 46, 95-105 (2007).
14. M. R. Feldman, and C. C. Guest, "Iterative-encoding of high-efficiency holograms for generation of spot arrays," Opt. Lett. 14, 479-481 (1989).
15. M. P. Dames, R. J. Dowling, P. McKee, and D. Wood, "Efficient optical elements to generate intensity weighted spot arrays: design and fabrication," Appl. Opt. 30, 2685-2691 (1991).
16. N. Yoshikawa, and T. Yatagai, "Phase optimization of a kinoform by simulated annealing," Appl. Opt. 33, 863-868 (1994).
17. R. W. Gerchberg and W. O. Saxton, "A Practical Algorithm for the Determination of Phase from Image and Diffraction Plane Pictures," Optik 35, 237-246 (1972).
18. M. W. Farn, "New iterative algorithm for the design of phase-only gratings," Proc. SP1E 1555, 34-42 (1991).
19. J. E. Curtis, B. A. Koss, and D. G. Grier, "Dynamic holographic optical tweezers," Opt. Commun. 207, 169-175 (2002).
20. F. Wyrowski and O. Bryngdahl, "Iterative Fourier-transform algorithm applied to computer holography," J. Opt. Soc. Am. A 5, 1058-1065 (1988).
21. M. Škereň, I. Richter, and P. Fiala, "Iterative Fourier transform algorithm: comparison of various approaches," J. Mod. Opt. 49, 1851-1870 (2002).
22. O. Ripoll, V. Kettunen, and H. P. Herzig, "Review of iterative Fourier-transform algorithms for beam shaping applications," Opt. Eng. 43, 2549-2556 (2004).
23. J. W. Goodman, Introduction to Fourier Optics, 2nd Ed., McGraw-Hill, New York (1996).
24. J. Enderlein and F. Pampaloni, "Unified operator approach for deriving Hermite-Gaussian and Laguerre-Gaussian laser modes," J. Opt. Soc. Am. A 21, 1553-1558 (2004).
25. D. Engström, J. Bengtsson, E. Eriksson, and M. Goksör, "Improved beam steering accuracy of a single beam with a ID phase-only spatial light modulator," Opt. Express 16, 18275-18287 (2008).
26. V. V. Kotlyar, S.N. Khonina, and V. A. Soifer, "Iterative calculation of diffractive optical elements focusing into three-dimensional domain and onto the surface of the body of rotation," J. Mod. Opt. 43, 1509-1524 (1996).
27. T. Haist, M. Schoenleber, and H. J. Tiziani, "Computer-generated holograms from 3D-objects written on twisted-nematic liquid crystal displays," Opt. Commun. 140, 299-308 (1997).
28. M. Škereň, I. Richter, and P. Fiala, "Design and optimization considerations of multi-focus phase-only diffractive elements," Proc. SPIE 5182, 236-245 (2004).
29. J. S. Liu and M. R. Taghizadeh, "Iterative algorithm for the design of diffractive phase elements for laser beam shaping," Opt. Lett. 27, 1463-1465 (2002).
30. R. D. Leonardo, F. Ianni, and G. Ruocco, "Computer generation of optimal holograms for optical trap arrays," Opt. Express 15, 1913-1922 (2006).
31. J. Bengtsson, "Kinoform design with an optimal-rotation-angle method," Appl. Opt. 33, 6879-6884 (1994).
32. H. Akahori, "Spectrum leveling by an iterative algorithm with a dummy area for synthesizing the kinoform," Appl. Opt. 25, 802-811 (1986).
33. F. Wyrowski, "Diffractive optical elements: iterative calculation of quantized, blazed phase structures," J. Opt. Soc. Am. A 7, 961-969 (1990).
34. D. Engström, G. Milewski, J. Bengtsson, and S. Gait, "Diffraction-based determination of the phase modulation for general spatial light modulators," Appl. Opt. 45, 7195-7204 (2006).