Optimal quantization method for uneven-phase diffractive optical elements by use of a modified iterative Fourier-transform algorithm

Applied Optics

Volumn 44, Issue 27, 2005, Pages 5802-5808

  Hsu, Wei Feng ^a   Lin, Chia Hsuan ^a  

^a NATIONAL TAIPEI UNIVERSITY OF TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DIFFRACTION; ERROR ANALYSIS; FOURIER TRANSFORMS; OPTICAL DEVICES; OPTIMIZATION; PROBABILITY DENSITY FUNCTION;

DIFFRACTIVE OPTICAL ELEMENTS (DOE); ITERATIVE FOURIER-TRANSFORM ALGORITHM (IFTA); MEAN-SQUARED ERROR; WAVEFRONT;

DIFFRACTIVE OPTICS;

EID: 27144553916     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.44.005802     Document Type: Conference Paper

References (21)

1. J. Turunen and F. Wyrowski, eds., Diffractive Optics for Industrial and Commercial Applications (Akademie Verlag, Berlin, 1997).
2. M. B. Stern, "Binary optics fabrication," in Micro-Optics: Ele merits, Systems and Applications, H. P. Herzig, ed. (Taylor & Francis, 1997), pp. 53-85.
3. L. B. Lesern, P. M. Hirsch, and J. R. Jordan, Jr., "The kinoform: a new wavefront reconstruction device," IBM J. Res. Dev. 13, 150-155 (1969).
4. 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).
5. F. Wyrowski, "Diffractive optical elements: iterative calculation of quantized, blazed phase structures," J. Opt. Soc. Am. A 7, 961-969 (1990).
6. N. Yoshikawa and T. Yatagai, "Phase optimization of a kinoform using simulated annealing," Appl. Opt. 33, 863-868 (1994).
7. N. Yoshikawa, M. Itoh, and T. Yatagai, "Quantized phase quantization of two-dimensional Fourier kinoforms by a genetic algorithm," Opt. Lett. 20, 752-754 (1995).
8. M. A. Seldowilz, J. P. Allebach, and D. W. Sweeney, "Synthesis of digital holograms by direct binary search," Appl. Opt. 26, 2788-2798 (1987).
9. J. Turunen and F. Wyrowski, "Introduction to diffractive optics," in Ref. 1, pp. 1-57.
10. J.-N. Gillet and Y. Sheng, "Iterative simulated quenching for designing irregular-spot-array generators," Appl. Opt. 39, 3456-3465 (2000).
11. U. Levy, N. Cohen, and D. Mendlovic, "Analytic approach for optimal quantization of diffractive optical elements," Appl. Opt. 38, 5527-5532 (1999).
12. W.-F. Hsu and I.-C. Chu, "Optimal quantization by use of an amplitude-weighted probability-density function for diffractive optical elements," Appl. Opt. 43, 3672-3679 (2004).
13. S. Noach, Y. Arieli, and N. Eisenberg, "Wave-front control and aberration correction with a diffractive optical element," Opt. Lett. 24, 333-335 (1999).
14. H. Dammann, "Color separation gratings," Appl. Opt. 17, 2273-2279 (1978).
15. I. M. Barton, P. Blair, and M. R. Taghizadeh, "Dualwavelength operation diffractive phase elements for pattern formation," Opt. Express 1, 54-59 (1997).
16. U. Levy, E. Marom, and D. Mendiovic, "Simultaneous multicolor image formation with a single diffractive optical element," Opt. Lett. 26, 1149-1151 (2001).
17. K. Ballüder and M. R. Taghizadeh, "Optimized quantization for diffractive phase elements by use of uneven phase levels," Opt. Lett. 26, 417-419 (2001).
18. A. Schilling and H. P. Herzig, "Phase function encoding of diffractive structures," Appl. Opt. 39, 5273-5279 (2000).
19. C. J. Kuo, H. C. Chien, N. Y. Chang, and C. H. Yeh, "Diffractive optical element designed by use of an irregular etching-depth sequence," Appl. Opt. 40, 5894-5897 (2001).
20. N. C. Gallagher, "Optimum quantization in digital holography," Appl. Opt. 17, 109-115 (1978).
21. W. J. Dallas, "Magnitude-coupled phase quantization," Appl. Opt. 13, 2274-2279 (1974).