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Applied Optics

Applied Optics


  • Vol. 44, Iss. 27 — Sep. 20, 2005
  • pp: 5818–5823

Spatial beam shaping of ultrashort laser pulses: theory and experiment

Shuyan Zhang, Qiguang Yang, and Gunter Lüpke  »View Author Affiliations

Applied Optics, Vol. 44, Issue 27, pp. 5818-5823 (2005)

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We studied the spatial intensity profile of an ultrashort laser pulse passing through a laser beam shaping system, which uses diffractive optical elements to reshape a Gaussian beam profile into a flat-topped distribution. Both dispersion and nonlinear self-phase modulation are included in the theoretical model. Our calculation shows that this system works well for ultrashort pulses (∼100 fs) when the pulse peak intensity is less than 5×10¹¹ W/cm². Experimental results are presented for 136 fs pulses at 800 nm wavelength from a Ti:sapphire laser with a 6 nJ pulse energy. We also studied the effects of lateral misalignment, beam-size deviation, and defocusing on the energy fluence profile.

© 2005 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(320.5550) Ultrafast optics : Pulses

Shuyan Zhang, Qiguang Yang, and Gunter Lüpke, "Spatial beam shaping of ultrashort laser pulses: theory and experiment," Appl. Opt. 44, 5818-5823 (2005)

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  1. D. Karnakis, J. Fieret, P. T. Rumsby, and M. C. Gower, "Microhole drilling using reshaped pulsed Gaussian laser beams," in Laser Beam Shaping II, F. M. Dickey, S. C. Holswade, and D. L. Shealy, eds., Proc. SPIE 4443, 150-158 (2001). [CrossRef]
  2. L. Unnebrink, T. Henning, E. W. Kreutz, and R. Poprawe, "Excimer beam homogenization for materials processing," in OPTIKA 98: 5th Congress on Modern Optics, G. Akos, G. Lupkovics, and A. Podmaniczky, eds., Proc. SPIE 3573, 126-129 (1998). [CrossRef]
  3. E. B. Kley, M. Cunne, L. Witting, and M. Thieme, "Beam shaping elements for holographic applications, micromachining and microfabrication," in Micromachining Technology for Micro-Optics, S. H. Lee and E. G. Johnson, eds., Proc. SPIE 4179, 58-65 (2000). [CrossRef]
  4. W. Zhao and P. Palffy-Muhoray, "Z-scan technique using top-hat beams," Appl. Phys. Lett. 63, 1613-1615 (1993). [CrossRef]
  5. K. Ebata, K. Fuse, T. Hirai, and K. Kurisu, "Advanced laser optics for laser material processing," in Fourth International Symposium on Laser Precision Microfabrication, I. Miyamoto, A. Ostendorf, K. Sugioka, and H. Helvajian, eds., Proc. SPIE 5063, 411-417 (2003). [CrossRef]
  6. B. Li and E. Welsch, "Probe-beam diffraction in a pulsed top-hat beam thermal lens with a mode-mismatched configuration," Appl. Opt. 38, 5241-5249 (1999).
  7. F. M. Dickey, L. S. Weichman, and R. N. Shagam, "Laser beam shaping techniques," in High Power Laser Ablation III, C. R. Phipps, ed., Proc. SPIE 4065, 338-348 (2000). [CrossRef]
  8. S. M. Metev and V. P. Veiko, Laser Assisted Micro-Technology (Springer-Verlag, 1994), Chap. 6.
  9. P. Scott, "Reflective optics for irradiance redistribution of laser beams: design," Appl. Opt. 20, 1606-1610 (1981).
  10. P. H. Malyak, "Two-mirror unobscured optical system for reshaping the irradiance distribution of a laser beam," Appl. Opt. 31, 4377-4383 (1992).
  11. F. M. Dickey and S. C. Holswade, Laser Beam Shaping: Theory and Techniques (Marcel-Dekker, 2000), Chap. 6.
  12. F. M. Dickey and B. D. O/Neil, "Multifaceted laser beam integrators: general formulation and design concepts," Opt. Eng. 27, 999-1007 (1988).
  13. P. Hariharan, Optical holography principles, techniques and applications, Vol. 1 of Cambridge Studies in Modern Optics (Cambridge U. Press, 1996).
  14. W. Lee, "Method for converting a Gaussian laser beam into a uniform beam," Opt. Commun. 36, 469-471 (1981). [CrossRef]
  15. W. Jiang, D. L. Shealy, and J. C. Martin, "Design and testing of a refractive reshaping system," in Current Developments in Optical Design and Optical Engineering III, R. E. Fischer and W. J. Smith, eds., Proc. SPIE 2000, 64-75 (1993). [CrossRef]
  16. L. A. Romero and F. M. Dickey, "Lossless laser beam shaping," J. Opt. Soc. Am. A 13, 751-760 (1996).
  17. J. Zhou, C.-P. Huang, M. M. Murnane, and H. C. Kapteyn, "Amplification of 26-fs, 2-TW pulses near the gain-narrowing limit in Ti:sapphire," Opt. Lett. 20, 64-66 (1995).
  18. S. Zhang, Y. Ren, and G. Luepke, "Ultrashort laser pulse beam shaping," Appl. Opt. 42, 715-718 (2003).
  19. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).
  20. T. Tong, J. Li, and J. P. Longtin, "Real-time control of ultrafast laser micromachining by laser-induced breakdown spectroscopy," Appl. Opt. 43, 1971-1980 (2004). [CrossRef]
  21. Y. R. Shen, Principles of Nonlinear Optics (Wiley, 1984), Chap. 17.7.
  22. S. C. Holswade and F. M. Dickey, "Gaussian laser beam shaping: test and evaluation," in Current Developments in Optical Design and Engineering VI, R. E. Fischer and W. J. Smith, eds., Proc. SPIE 2863, 237-245 (1996). [CrossRef]

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