OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 25 — Dec. 15, 2003
  • pp: 3365–3376

High-order pulse front tilt caused by high-order angular dispersion

Yasuo Nabekawa and Katsumi Midorikawa  »View Author Affiliations

Optics Express, Vol. 11, Issue 25, pp. 3365-3376 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (208 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We have found general expressions relating the high-order pulse front tilt and the high-order angular dispersion in an ultrashort pulse, for the first time to our knowledge. The general formulae based on Fermat’s principle are applicable for any ultrashort pulse with angular dispersion in the limit of geometrical optics. By virtue of these formulae, we can calculate the high-order pulse front tilt in the sub-20-fs UV pulse generated in a novel scheme of sum-frequency mixing in a nonlinear crystal accompanied by angular dispersion. It is also demonstrated how the high-order angular dispersion can be eliminated in the calculation.

© 2003 Optical Society of America

OCIS Codes
(140.3610) Lasers and laser optics : Lasers, ultraviolet
(190.7110) Nonlinear optics : Ultrafast nonlinear optics
(320.5540) Ultrafast optics : Pulse shaping

ToC Category:
Research Papers

Original Manuscript: October 31, 2003
Revised Manuscript: November 25, 2003
Published: December 15, 2003

Yasuo Nabekawa and Katsumi Midorikawa, "High-order pulse front tilt caused by high-order angular dispersion," Opt. Express 11, 3365-3376 (2003)

Sort:  Journal  |  Reset  


  1. S. Sartania, Z. Cheng, M. Lenzner, G. Tempea, C. Spielmann, F. Krausz, and K. Ferencz, �??Generation of 0.1-TW 5-fs optical pulses at a 1-kHz repetition rate,�?? Opt. Lett. 22, 1562�??1564 (1997). [CrossRef]
  2. J. Seres, A. Müller, E. Seres, K. O�??Keeffe, M. Lenner, R. F. Herzog, D. Kaplan, C. Spielmann, and F. Krausz, �??Sub-10-fs, terawatt-scale Ti:sapphire laser system,�?? Opt. Lett. 28, 1832�??1834 (2003). [CrossRef] [PubMed]
  3. K. Yamane, Z. Zhang, K. Oka, R. Morita, and M. Yamashita, A. Suguro, �??Optical pulse compression to 3.4 fs in the monocycle region by feedback phase compensation,�?? Opt. Lett. 28, 2258�??2260 (2003). [CrossRef] [PubMed]
  4. B. Schenkel, J. Biegert, U. Keller, C. Vozzi, M. Nisoli, G. Sansone, S. Stagira, S. D. Silvestri, and O. Svelto, �??Generation of 3.8-fs pulses from adaptive compression of a cascaded hollow fiber supercontinuum,�?? Opt. Lett. 28, 1987�??1989 (2003). [CrossRef] [PubMed]
  5. Z. Bor, B. Rácz, G. Szabó, M. Hilbert, and H. A. Hazim, �??Femtosecond pulse front tilt caused by angular dispersion,�?? Opt. Eng. 32, 2501�??2504 (1993). [CrossRef]
  6. Z. Bor and B. Rácz, �??Group velocity dispersion in prisms and its application to pulse compression and traveling-wave excitation,�?? Opt. Commun. 54, 165�??170 (1985). [CrossRef]
  7. O. E. Martinez, �??Pulse distortions in tilted pulse schemes for ultrashort pulses,�?? Opt. Commun. 59, 229�??232 (1986). [CrossRef]
  8. K. Varjú, A. P. Kovács, G. Kurdi, and K. Osvay, �??High-precision measurement of angular dispersion in a CPA laser,�?? Appl. Phys. B [Suppl.] 74, S259�??S263 (2002). [CrossRef]
  9. K. Varjú, A. P. Kovács, K. Osvay, and G. Kurdi, �??Angular dispersion of femtosecond pulses in a Gaussian beam,�?? Opt. Lett. 27, 2034�??2036 (2002). [CrossRef]
  10. K. Osvay and I. N. Ross, �??On a pulse compressor with gratings having arbitrary orientation,�?? Opt. Commun. 105, 271�??278 (1994). [CrossRef]
  11. A. Shirakawa, I. Sakane, and T. Kobayashi, �??Pulse-front-matched optical parametric amplification for sub-10-fs pulse generation tunable in the visible and near infrared,�?? Opt. Lett. 23, 1292�??1294 (1998). [CrossRef]
  12. T. Hofmann, K. Mossavi, F. K. Tittel, and G. Szabó, �??Spectrally compensated sum-frequency mixing scheme for generation of broadband radiation at 193 nm,�?? Opt. Lett. 17, 1691�?? 1693 (1992). [CrossRef]
  13. M. Hacker, T. Feurer, R. Sauerbrey, T. Lucza, and G. Szabó, �??Programmable femtosecond laser pulses in the ultraviolet,�?? J. Opt. Soc. Am. B 18, 866�?? 871 (2001). [CrossRef]
  14. Y. Nabekawa and K. Midorikawa, �??Broadband sum frequency mixing using noncollinear angularly dispersed geometry for indirect phase control of sub-20-femtosecond UV pulses,�?? Opt. Express 11, 324�??338 (2003). <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-4-324">href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-4-324</a> [CrossRef] [PubMed]
  15. Y. Nabekawa and K. Midorikawa, �??Group-delay-dispersion matched sum-frequency mixing for the generation of deep ultraviolet in sub-20-fs regime,�?? submitted to Appl. Phys. B.
  16. Y. Nabekawa, Y. Shimizu, and K. Midorikawa, �??Sub-20-fs terawatt-class laser system with a mirrorless regenerative amplifier and an adaptive phase controller,�?? Opt. Lett. 27, 1265�??1267 (2002). [CrossRef]
  17. Z. Bor and Z. L. Horváth, �??Distortion of femtosecond pulses in lenses. Wave optical description,�?? Opt. Commun. 94, 249�??258 (1992). [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.

Supplementary Material

» Media 1: GIF (641 KB)     
» Media 2: GIF (488 KB)     
» Media 3: GIF (2313 KB)     
» Media 4: GIF (1401 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited