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Trade-off between diffraction efficiency and uniformity for design of binary diffractive laser beam shaper

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Abstract

The trade-off between diffraction efficiency and uniformity is studied when a binary phase-only diffractive optical element (DOE) is designed for transforming a Gaussian beam to an expanded squared uniform intensity distribution. The simulated annealing (SA) algorithm and Fresnel diffraction theory are applied in our design. Two types of cost functions are utilized in the SA algorithm, and the cases of different incident Gaussian diameters and bright-area sizes of the target patterns are studied. The mechanisms of reducing nonuniformity by the two cost functions are essentially different, and the mechanism combining nonuniformity and the intensity difference between the reconstructed and target patterns has better results. Satisfactory performance can be obtained under the trade-off between them.

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References

  1. Laser Beam Shaping: Theory and Techniques, ed. F. M. Dickey and S. C. Holswade (CRC Press, New York, 2000).

    Google Scholar 

  2. M. T. Eismann, A. M. Tai, and J. N. Cederquist: Appl. Opt. 28 (1989) 2641.

    Article  ADS  Google Scholar 

  3. X. Tan, B.-Y. Gu, G.-Z. Yang, and B.-Z. Dong: Appl. Opt. 34 (1995) 1314.

    Article  ADS  Google Scholar 

  4. W.-X. Cong, N.-X. Chen, and B.-Y. Gu: Appl. Opt. 37 (1998) 4500.

    Article  ADS  Google Scholar 

  5. J. S. Liu and M. R. Taghizadeh: Opt. Lett. 27 (2002) 1463.

    Article  ADS  Google Scholar 

  6. Y. Lin, T. J. Kessler, and G. N. Lawrence: Opt. Lett. 21 (1996) 1703.

    Article  ADS  Google Scholar 

  7. N. C. Evans and D. L. Shealy: Appl. Opt. 37 (1998) 5216.

    Article  ADS  Google Scholar 

  8. A. Kostylev, A. Sobolev, T. Cherezova, and A. Kudryashov: Proc. SPIE 5876 (2005) 587605.

    Article  Google Scholar 

  9. F. M. Dickey and S. C. Holswade: Opt. Eng. 35 (1996) 3285.

    Article  ADS  Google Scholar 

  10. M. Quintanilla and A. M. de Frutos: Appl. Opt. 20 (1981) 879.

    Article  ADS  Google Scholar 

  11. C.-Y. Han, Y. Ishii, and K. Murata: Appl. Opt. 22 (1983) 3644.

    Article  ADS  Google Scholar 

  12. J. R. Leger, D. Chen, and Z. Wang: Opt. Lett. 19 (1994) 108.

    Article  ADS  Google Scholar 

  13. J. Bengtsson: Appl. Opt. 35 (1996) 3807.

    Article  ADS  Google Scholar 

  14. G. Zhou, X. Yuan, P. Dowd, Y.-L. Lam, and Y.-C. Chan: J. Opt. Soc. Am. A 18 (2001) 791.

    Article  ADS  Google Scholar 

  15. D. Palima and J. Glückstad: Opt. Express 16 (2008) 1507.

    Article  ADS  Google Scholar 

  16. W. B. Veldkamp: Appl. Opt. 21 (1982) 3209.

    Article  ADS  Google Scholar 

  17. J. Cordingley: Appl. Opt. 32 (1993) 2538.

    Article  ADS  Google Scholar 

  18. R. de Saint Denis, N. Passilly, M. Laroche, T. Mohammed-Brahim, and K. Aït-Ameur: Appl. Opt. 45 (2006) 8136.

    Article  ADS  Google Scholar 

  19. H. Kim, B. Yang, and B. Lee: J. Opt. Soc. Am. A 21 (2004) 2353.

    Article  MathSciNet  ADS  Google Scholar 

  20. S. Kirkpatrick, C. D. Gelatt, Jr., and M. P. Vecchi: Science 220 (1983) 671.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. M. S. Kim and C. C. Guest: Appl. Opt. 29 (1990) 1203.

    Article  ADS  Google Scholar 

  22. N. Yoshikawa and T. Yatagai: Appl. Opt. 33 (1994) 863.

    Article  ADS  Google Scholar 

  23. J. W. Goodman: Introduction to Fourier Optics (Roberts & Co., New York, 2005) 3rd ed.

    Google Scholar 

  24. S. Sinzinger and J. Jahns: Microoptics (Wiley-VCH, Weinheim, 2003) 2nd ed.

    Book  Google Scholar 

  25. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller: J. Chem. Phys. 21 (1953) 1087.

    Article  ADS  Google Scholar 

  26. P. J. M. van Laarhoven and E. H. L. Aarts: Simulated Annealing: Theory and Applications (Kluwer Academic, Dordrecht, 1987).

    Book  MATH  Google Scholar 

  27. S. Kirkpatrick, C. D. Gelatt, Jr., and M. P. Vecchi: IBM Res. Rep. RC 9355 (1982).

  28. W. L. Martinez and A. R. Martinez: Computational Statistics Handbook with MATLAB (Chapman & Hall/CRC, New York, 2002).

    Google Scholar 

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Correspondence to Hoang Yan Lin.

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Hsu, KH., Lin, H.Y. Trade-off between diffraction efficiency and uniformity for design of binary diffractive laser beam shaper. OPT REV 20, 296–302 (2013). https://doi.org/10.1007/s10043-013-0054-x

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  • DOI: https://doi.org/10.1007/s10043-013-0054-x

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