Design of diffractive phase elements for beam shaping: Hybrid approach

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 18, Issue 4, 2001, Pages 791-800

  Zhou, Guangya ^a   Yuan, Xiaocong ^a   Dowd, Philip ^a   Lam, Yee Loy ^a   Chan, Yuen Chuen ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFRACTION; GENETIC ALGORITHMS; SIGNAL TO NOISE RATIO;

BEAM SHAPING;

LASER BEAMS;

EID: 0038116527     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.18.000791     Document Type: Article

References (35)

1. W. B. Veldkamp and C. J. Kastner, “Beam profile shaping for laser radars that use detector arrays,” Appl. Opt. 21, 345-356 (1982).
2. J. Cordingley, “Application of a binary diffractive optic for beam shaping in semiconductor processing by lasers,” Appl. Opt. 32, 2538-2542 (1993).
3. Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, “Random phasing of lasers for uniform target acceleration and plasma instability suppression,” Phys. Rev. Lett. 53, 1057-1060 (1984).
4. M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, “Refracting system for annular Gaussian-to-Bessel beam transformation,” Appl. Opt. 37, 649-652 (1998).
5. M. Kuittinen, P. Vahimaa, M. Honkanen, and J. Turunen, “Beam shaping in the nonparaxial domain of diffractive optics,” Appl. Opt. 36, 2034-2041 (1997).
6. J. N. Mait, “Understanding diffractive optic design in the scalar domain,” J. Opt. Soc. Am. A 12, 2145-2158 (1995).
7. G. J. Swanson and W. B. Weldkamp, “Diffractive optical elements for use in infrared systems,” Opt. Eng. 28, 605-608 (1989).
8. O. Bryngdahl, “Geometrical transformations in optics,” J. Opt. Soc. Am. 64, 1092-1099 (1974).
9. O. Bryngdahl, “Optical map transformations,” Opt. Commun. 10, 164-166 (1974).
10. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttgart) 35, 237-246 (1972).
11. J. R. Fienup, “Iterative method applied to image reconstruction and to computer-generated holograms,” Opt. Eng. 19, 297-305 (1980).
12. F. Wyrowski and O. Bryngdahl, “Digital holography as part of diffractive optics,” Rep. Prog. Phys. 54, 1481-1571 (1991).
13. F. Wyrowski and O. Bryngdahl, “Iterative Fourier transform algorithm applied to computer holography,” J. Opt. Soc. Am. A 5, 1058-1065 (1988).
14. J. Turunen, A. Vasara, and J. Westerholm, “Kinoform phase relief synthesis: A stochastic method,” Opt. Eng. 28, 1162-1176 (1989).
15. B. K. Jennison, J. P. Allebach, and D. W. Sweeney, “Iterative approaches to computer-generated holography,” Opt. Eng. 28, 629-637 (1989).
16. E. G. Johnson, A. D. Kathman, D. H. Hochmuth, A. Cook, D. R. Brown, and B. Delaney, “Advantages of genetic algorithm optimization methods in diffractive optic design,” in Diffractive and Miniaturized Optics, S.-H. Lee, ed., Vol. CR49 of Critical Review Series (SPIE Press, Bellingham, Wash., 1993), pp. 54-74.
17. S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, “Optimization by simulated annealing,” Science 220, 671-680 (1983).
18. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, “Equation of state calculations by fast computing machines,” J. Chem. Phys. 21, 1087-1092 (1953).
19. X. Qi and F. Palmieri, “Theoretical analysis of evolutionary algorithms with an infinite population size in continuous space: Part I. Basic properties of selection and mutation,” IEEE Trans. Neural Netw. 5, 102-119 (1994).
20. J. M. Renders and S. P. Flasse, “Hybrid methods using genetic algorithms for global optimization,” IEEE Trans. Syst. Man Cybern. 26, 243-258 (1996).
21. G. Zhou, Y. Chen, Z. Wang, and H. Song, “Genetic local search algorithm for optimization design of diffractive optical elements,” Appl. Opt. 38, 4281-4290 (1999).
22. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996), Chap. 4, pp. 63-90.
23. A. M. S. Zalzala and P. J. Fleming, eds., Genetic Algorithms in Engineering Systems (Institution of Electrical Engineers, London, 1997), Chap. 1, pp. 10-12.
24. D. E. Goldberg, Genetic Algorithms in Search, Optimization, and Machine Learning (Addison-Wesley, Reading, Mass., 1989), Chap 5, pp. 148-214.
25. M. A. Wolfe, Numerical Methods for Unconstrained Optimization: An Introduction (Van Nostrand Reinhold, New York, 1978), Chap. 6, pp. 161-167.
26. A. E. Siegman, “Quasi fast Hankel transform,” Opt. Lett. 1, 13-15 (1977).
27. H. H. Hopkins, “The numerical evaluation of the frequency response of optical systems,” Proc. Phys. Soc. London Sect. B 70, 1002-1005 (1957).
28. S. N. Dixit, I. M. Thomas, B. W. Woods, A. J. Morgan, M. A. Henesian, P. J. Wegner, and H. T. Powell, “Random phase plates for beam smoothing on the Nova laser,” Appl. Opt. 32, 2543-2554 (1993).
29. C. C. Aleksoff, K. K. Ellis, and B. D. Neagle, “Holographic conversion of a Gaussian beam to a near-field uniform beam,” Opt. Eng. 30, 537-543 (1991).
30. P. W. Rhodes and D. L. Shealy, “Refractive optical systems for irradiance distribution of collimated radiation: Their design and analysis,” Appl. Opt. 19, 3545-3553 (1980).
31. X. Tan, B. Y. Gu, G. Z. Yang, and B. Z. Dong, “Diffractive phase elements for beam shaping: A new design method,” Appl. Opt. 34, 1314-1320 (1995).
32. J. E. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. A 4, 651-654 (1987).
33. J. E. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beam,” Phys. Rev. Lett. 58, 1499-1501 (1987).
34. J. Turunen, A. Vasara, and A. T. Friberg, “Holographic generation ofdiffraction-free beams,” Appl. Opt. 27, 3959-3962 (1988).
35. W. X. Cong, N. X. Chen, and B. Y. Gu, “Generation of non-diffracting beams by diffractive phase elements,” J. Opt. Soc. Am. A 15, 2362-2364 (1998).