OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 16, Iss. 9 — Sep. 1, 1999
  • pp: 1468–1474

Nonsinusoidal few-cycle pulsed light beams in free space

Miguel A. Porras  »View Author Affiliations

JOSA B, Vol. 16, Issue 9, pp. 1468-1474 (1999)

View Full Text Article

Acrobat PDF (154 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We study a family of nonseparable solutions of the three-plus-one-dimensional paraxial wave equation in free space that represent ultrashort waveforms localized in time and space. We use them to develop a simple model for the spatiotemporal structure of ultrashort pulsed light beams, with only one or a few field oscillations of a nonsinusoidal nature. In the many-oscillation limit the model approaches the widely used separable models of modulated sinusoidal oscillations in time and of a Gaussian beam in space.

© 1999 Optical Society of America

OCIS Codes
(140.4050) Lasers and laser optics : Mode-locked lasers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(320.2250) Ultrafast optics : Femtosecond phenomena
(350.7420) Other areas of optics : Waves

Miguel A. Porras, "Nonsinusoidal few-cycle pulsed light beams in free space," J. Opt. Soc. Am. B 16, 1468-1474 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. A. Stingl, C. Spielmann, F. Krausz, and R. Szipöcs, “Generation of 11-fs pulses from a Ti:sapphire laser without the use of prisms,” Opt. Lett. 19, 204–206 (1994).
  2. D. H. Auston, K. P. Cheung, J. A. Valdmanis, and D. A. Kleinman, “Cherenkov radiation from femtosecond optical pulses in electro-optic media,” Phys. Rev. Lett. 53, 1555–1558 (1984).
  3. M. S. Pshenichnikov, W. P. De Boeij, and D. A. Wiersma, “Generation of 13-fs, 5-MW pulses from a cavity-dumped Ti:sapphire laser,” Opt. Lett. 19, 572–574 (1994).
  4. P. U. Jepsen and S. R. Keiding, “Radiation patterns from lens-coupled terahertz antennas,” Opt. Lett. 20, 807–809 (1995).
  5. A. E. Kaplan and P. L. Shkolnikov, “Electromagnetic bubbles and shock waves: unipolar, nonoscillating EM solitons,” Phys. Rev. Lett. 75, 2316–2319 (1995).
  6. A. E. Kaplan, “Diffraction-induced transformation of near-cycle and subcycle pulses,” J. Opt. Soc. Am. B 15, 951–956 (1998).
  7. E. M. Belenov and A. V. Nazarkin, “Transient diffraction and precursorlike effects in vacuum,” J. Opt. Soc. Am. A 11, 168–172 (1994).
  8. I. P. Christov, “Propagation of femtosecond light pulses,” Opt. Commun. 53, 364–366 (1985).
  9. R. W. Ziolkowski and J. B. Judkins, “Propagation characteristics of ultrawide-bandwidth pulsed Gaussian beams,” J. Opt. Soc. Am. A 9, 2021–2030 (1992).
  10. Z. Wang, Z. Zhang, Z. Xu, and Q. Lin, “Space-time profiles of an ultrashort pulsed Gaussian beam,” IEEE J. Quantum Electron. 33, 566–573 (1997).
  11. M. A. Porras, “Ultrashort pulsed Gaussian light beams,” Phys. Rev. E 58, 1086–1093 (1998).
  12. S. Feng and H. G. Winful, “Gouy shift and temporal reshaping of focused single-cycle electromagnetic pulses,” Opt. Lett. 23, 385–387 (1998).
  13. T. Brabec and F. Krausz, “Nonlinear optical propagation in the single-cycle regime,” Phys. Rev. Lett. 78, 3282–3285 (1997).
  14. E. M. Belenov and A. V. Nazarkin, “Time-varying diffraction effects in the propagation of an electromagnetic pulse in vacuum,” JETP Lett. 53, 200–203 (1991).
  15. P. D. Einziger and S. Raz, “Wave solutions under complex-time shifts,” J. Opt. Soc. Am. A 4, 3–10 (1987).
  16. See, for example, A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).
  17. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1975).
  18. R. W. Ziolkowski, “Localized transmission of electromagnetic energy,” Phys. Rev. A 39, 2005–2033 (1989).
  19. See, for example, A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, New York, 1987).
  20. M. Karlsson, D. Anderson, M. Desaix, and M. Lisak, “Dynamic effects of Kerr nonlinearity and spatial diffraction on self-phase modulation of optical pulses,” Opt. Lett. 16, 1373–1375 (1991).
  21. J. E. Rothenberg, “Space-time focusing: breakdown of the slowly varying envelope approximation in the self-focusing of femtosecond pulses,” Opt. Lett. 17, 1340–1342 (1992).
  22. J. T. Manassah and B. Gross, “The spatiotemporal dynamics of a pulse propagating in the quasi-Kerr regime of a two-level resonant medium,” Opt. Commun. 136, 193–205 (1997).
  23. J. K. Ranka and A. L. Gaeta, “Breakdown of the slowly varying envelope approximation in the self-focusing of ultrashort pulses,” Opt. Lett. 23, 534–536 (1998).
  24. A. B. Shvartsburg, Time-Domain Optics of Ultrashort Waveforms (Oxford U. Press, Oxford, 1996).

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