OSA's Digital Library

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)

View Full Text Article

Enhanced HTML    Acrobat PDF (509 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

Original Manuscript: September 2, 2004
Revised Manuscript: January 14, 2005
Manuscript Accepted: January 14, 2005
Published: September 20, 2005

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

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. Karnakis, J. Fieret, P. T. Rumsby, M. C. Gower, “Microhole drilling using reshaped pulsed Gaussian laser beams,” in Laser Beam Shaping II, F. M. Dickey, S. C. Holswade, D. L. Shealy, eds., Proc. SPIE4443, 150–158 (2001). [CrossRef]
  2. L. Unnebrink, T. Henning, E. W. Kreutz, R. Poprawe, “Excimer beam homogenization for materials processing,” in OPTIKA 98: 5th Congress on Modern Optics, G. Akos, G. Lupkovics, A. Podmaniczky, eds., Proc. SPIE3573, 126–129 (1998).
  3. E. B. Kley, M. Cunne, L. Witting, M. Thieme, “Beam shaping elements for holographic applications, micromachining and microfabrication,” in Micromachining Technology for Micro-Optics, S. H. Lee, E. G. Johnson, eds., Proc. SPIE4179, 58–65 (2000). [CrossRef]
  4. W. Zhao, 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, K. Kurisu, “Advanced laser optics for laser material processing,” in Fourth International Symposium on Laser Precision Microfabrication, I. Miyamoto, A. Ostendorf, K. Sugioka, H. Helvajian, eds., Proc. SPIE5063, 411–417 (2003). [CrossRef]
  6. B. Li, E. Welsch, “Probe-beam diffraction in a pulsed top-hat beam thermal lens with a mode-mismatched configuration,” Appl. Opt. 38, 5241–5249 (1999). [CrossRef]
  7. F. M. Dickey, L. S. Weichman, R. N. Shagam, “Laser beam shaping techniques,” in High Power Laser Ablation III, C. R. Phipps, ed., Proc. SPIE4065, 338–348 (2000).
  8. S. M. Metev, V. P. Veiko, Laser Assisted Micro-Technology (Springer-Verlag, 1994), Chap. 6. [CrossRef]
  9. P. Scott, “Reflective optics for irradiance redistribution of laser beams: design,” Appl. Opt. 20, 1606–1610 (1981). [CrossRef] [PubMed]
  10. P. H. Malyak, “Two-mirror unobscured optical system for reshaping the irradiance distribution of a laser beam,” Appl. Opt. 31, 4377–4383 (1992). [CrossRef] [PubMed]
  11. F. M. Dickey, S. C. Holswade, Laser Beam Shaping: Theory and Techniques (Marcel-Dekker, 2000), Chap. 6. [CrossRef]
  12. F. M. Dickey, B. D. O’Neil, “Multifaceted laser beam integrators: general formulation and design concepts,” Opt. Eng. 27, 999–1007 (1988). [CrossRef]
  13. P. Hariharan, Optical holography principles, techniques and applications, Vol. 1 of Cambridge Studies in Modern Optics (Cambridge U. Press, 1996). [CrossRef]
  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, J. C. Martin, “Design and testing of a refractive reshaping system,” in Current Developments in Optical Design and Optical Engineering III, R. E. Fischer, W. J. Smith, eds., Proc. SPIE2000, 64–75 (1993). [CrossRef]
  16. L. A. Romero, F. M. Dickey, “Lossless laser beam shaping,” J. Opt. Soc. Am. A 13, 751–760 (1996). [CrossRef]
  17. J. Zhou, C.-P. Huang, M. M. Murnane, H. C. Kapteyn, “Amplification of 26-fs, 2-TW pulses near the gain-narrowing limit in Ti:sapphire,” Opt. Lett. 20, 64–66 (1995). [CrossRef] [PubMed]
  18. S. Zhang, Y. Ren, G. Luepke, “Ultrashort laser pulse beam shaping,” Appl. Opt. 42, 715–718 (2003). [CrossRef] [PubMed]
  19. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 2001).
  20. T. Tong, J. Li, J. P. Longtin, “Real-time control of ultrafast laser micromachining by laser-induced breakdown spectroscopy,” Appl. Opt. 43, 1971–1980 (2004). [CrossRef] [PubMed]
  21. Y. R. Shen, Principles of Nonlinear Optics (Wiley, 1984), Chap. 17.7.
  22. S. C. Holswade, F. M. Dickey, “Gaussian laser beam shaping: test and evaluation,” in Current Developments in Optical Design and Engineering VI, R. E. Fischer, W. J. Smith, eds., Proc. SPIE2863, 237–245 (1996). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited