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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 18, Iss. 11 — Nov. 1, 2001
  • pp: 2915–2922

Design concept for diffractive elements shaping partially coherent laser beams

Dirk Schäfer  »View Author Affiliations


JOSA A, Vol. 18, Issue 11, pp. 2915-2922 (2001)
http://dx.doi.org/10.1364/JOSAA.18.002915


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Abstract

A new two-step design algorithm for the calculation of a diffractive phase element (DPE) for use with partially coherent laser beams is presented. The optical reconstruction of the DPE is modeled by the convolution of a coherent diffraction pattern and the far-field intensity distribution of a partially coherent laser beam. Numerical deconvolution is applied to derive a suitable amplitude pattern as signal input to a standard iterative Fourier transform algorithm (IFTA). Theory and numerical results are presented. Compared with a single-step IFTA design, this new approach yields nearly equal diffraction efficiencies and a relative improvement of 15% in signal reconstruction error.

© 2001 Optical Society of America

OCIS Codes
(090.1970) Holography : Diffractive optics
(100.1830) Image processing : Deconvolution

Citation
Dirk Schäfer, "Design concept for diffractive elements shaping partially coherent laser beams," J. Opt. Soc. Am. A 18, 2915-2922 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-11-2915


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References

  1. D. Basting, ed., Excimer Laser Technology: Laser Sources, Optics, Systems and Applications (Lambda Physik Göttingen, Göttingen, Germany, to be published).
  2. S. W. Williams, P. J. Marsden, N. C. Roberts, J. Sidhu, and M. A. Venables, “Excimer laser beam shaping and material processing using diffractive optics,” in High-Power Laser Ablation, C. R. Phipps, ed., Proc. SPIE 3343, 205–211 (1998).
  3. A.-K. Holmer and S. Hård, “Laser-machining experiment with an excimer laser and a kinoform,” Appl. Opt. 34, 7718–7723 (1995).
  4. J. Bernges, L. Unnebrink, and T. Henning, “Mask adapted beam shaping for material processing with excimer laser radiation,” in Optika 98: 5th Congress on Modern Optics, G. Akos, G. Lupkovics, and A. Podmaniczky, Proc. SPIE 3573, 108–111 (1998).
  5. T. Henning and M. Scholl, “Beamshaping by multifaceted integrator mirrors: effects of partial coherence,” in Laser Beam Characterization, H. Weber, N. Reng, J. Lüdtke, and P. M. Mejias, eds. (Festkörper-Laser-Institut, Berlin, 1994), pp. 117–128.
  6. J. Turunen, P. Pääkkönen, M. Kuittinen, P. Laakkonen, J. Simonen, T. Kajava, and M. Kaivola, “Diffractive shaping of excimer laser beams,” J. Mod. Opt. 47, 2467–2475 (2000).
  7. M. Beyerlein, S. Schuberth, and T. Dresel, “Design and numerical analysis of diffractive optical elements for beam-shaping of partially coherent light,” in Diffractive Optics 99, Vol. 22 of EOS Topical Meeting Digest Series (European Optical Society, Orsay, France, 1999), pp. 157–158.
  8. T. Dresel, M. Beyerlein, and J. Schwider, “Design and fabrication of computer-generated beam-shaping holograms,” Appl. Opt. 35, 4615–4621 (1996).
  9. T. Dresel, M. Beyerlein, and J. Schwider, “Design of computer-generated beam-shaping holograms by iterative finite-element mesh adaption,” Appl. Opt. 35, 6865–6874 (1996).
  10. J. W. Goodman, Statistical Optics (Wiley, New York, 1985).
  11. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, 1999).
  12. H. H. Hopkins, “The concept of partial coherence in optics,” Proc. R. Soc. London, Ser. A 208, 263–277 (1951).
  13. W. H. Carter and E. Wolf, “Coherence and radiometry with quasihomogeneous planar sources,” J. Opt. Soc. Am. 67, 785–796 (1977).
  14. A. T. Friberg and E. Wolf, “Relationships between the complex degrees of coherence in the space–time and in the space–frequency domains,” Opt. Lett. 20, 623–625 (1995).
  15. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics, 1st ed. (Cambridge U. Press, Cambridge, 1995).
  16. P. A. Jansson, Deconvolution of Images and Spectra, 2nd ed. (Academic, San Diego, Calif., 1997).
  17. P. C. Hansen, “Numerical aspects of deconvolution,” in Lecture Notes of the Department of Informatics and Mathematical Modelling of the Technical University of Denmark, Technical University of Denmark, Vol. 1, P. C. Hansen, ed. (Lyngby, Denmark, 2000), http://www.imm.dtu.dk/~pch/regularization/deconv.html.
  18. G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. (Johns Hopkins U. Press, Baltimore, Md. 1996).
  19. F. Wyrowski, “Diffractive optical elements: iterative calcu-lation of quantized, blazed phase structures,” J. Opt. Soc. Am. A 7, 961–969 (1990).
  20. M. Bernhardt, F. Wyrowski, and O. Bryngdahl, “Iterative techniques to integrate different optical functions in a diffractive phase element,” Appl. Opt. 30, 4629–4635 (1991).
  21. M. Johansson and J. Bengtsson, “Robust design method for highly efficient beam-shaping diffractive optical elements using an iterative-Fourier-transform algorithm with soft operations,” J. Mod. Opt. 47, 1385–1398 (2000).
  22. D. Schäfer, J. Ihlemann, G. Marowsky, B. Burghardt, and M. Timm, “Multifacet kinoforms for KrF excimer laser,” in Diffractive Optics and Micro-Optics, 2000 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 2000), pp. 189–191.
  23. M. A. Seldowitz, J. P. Allebach, and D. W. Sweeney, “Synthesis of digital holograms by direct binary search,” Appl. Opt. 26, 2788–2798 (1987).

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