OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 19, Iss. 7 — Jul. 1, 2002
  • pp: 1716–1721

Variational analysis of spatio-temporal pulse dynamics in dispersive Kerr media

Christian Jirauschek, Uwe Morgner, and Franz X. Kärtner  »View Author Affiliations

JOSA B, Vol. 19, Issue 7, pp. 1716-1721 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (161 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The spatio-temporal dynamics of pulse propagation in dispersive Kerr media is studied based on the variational principle. By performing a Ritz optimization procedure with spatio-temporal Gaussian test functions, the equations of motion for the pulse parameters are derived. Comparison of these analytical results with numerically obtained solutions of the exact problem show very good agreement over a broad range of dispersion, diffraction, and nonlinearity parameters.

© 2002 Optical Society of America

OCIS Codes
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(260.5950) Physical optics : Self-focusing
(320.5550) Ultrafast optics : Pulses
(320.7110) Ultrafast optics : Ultrafast nonlinear optics
(350.5500) Other areas of optics : Propagation

Christian Jirauschek, Uwe Morgner, and Franz X. Kärtner, "Variational analysis of spatio-temporal pulse dynamics in dispersive Kerr media," J. Opt. Soc. Am. B 19, 1716-1721 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. Chernev and V. Petrov, “Self-focusing of light pulses in the presence of normal group-velocity dispersion,” Opt. Lett. 17, 172–174 (1992). [CrossRef] [PubMed]
  2. M. Desaix, D. Anderson, and M. Lisak, “Variational approach to collapse of optical pulses,” J. Opt. Soc. Am. B 8, 2082–2086 (1991). [CrossRef]
  3. I. P. Christov, H. C. Kapteyn, M. M. Murnane, C.-P. Huang, and J. Zhou, “Space-time focusing of femtosecond pulses in a Ti:sapphire laser,” Opt. Lett. 20, 309–311 (1995). [CrossRef] [PubMed]
  4. I. P. Christov and V. D. Stoev, “Kerr-lens mode-locked laser model: role of space-time effects,” J. Opt. Soc. Am. B 15, 1960–1966 (1998). [CrossRef]
  5. D. Anderson and M. Bonnedal, “Variational approach to nonlinear self-focusing of Gaussian laser beams,” Phys. Fluids 22, 105–109 (1979). [CrossRef]
  6. D. Anderson, M. Bonnedal, and M. Lisak, “Self-trapped cylindrical laser beams,” Phys. Fluids 22, 1838–1840 (1979). [CrossRef]
  7. D. Anderson, “Variational approach to nonlinear pulse propagation in optical fibers,” Phys. Rev. A 27, 3135–3145 (1983). [CrossRef]
  8. L. Yu, M. Huang, M. Chen, W. Chen, W. Huang, and Z. Zhu, “Quasi-discrete Hankel transform,” Opt. Lett. 23, 409–411 (1998). [CrossRef]
  9. J. H. Marburger, “Self-focusing: theory,” Prog. Quantum Electron. 4, 35–110 (1975). [CrossRef]
  10. Y. Chen, F. X. Kärtner, U. Morgner, S. H. Cho, H. A. Haus, E. P. Ippen, and J. G. Fujimoto, “Dispersion-managed mode locking,” J. Opt. Soc. Am. B 16, 1999–2004 (1999). [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.


Fig. 1 Fig. 2 Fig. 3

« Previous Article

OSA is a member of CrossRef.

CrossCheck Deposited