OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 8 — Aug. 1, 1998
  • pp: 2172–2181

Vectorial spectral analysis of the nonstationary electromagnetic field

Z. Bouchal, J. Bajer, and M. Bertolotti  »View Author Affiliations

JOSA A, Vol. 15, Issue 8, pp. 2172-2181 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (6904 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A general concept of the vectorial spectral analysis of the nonstationary optical fields representing exact solutions to the Maxwell equations is proposed. The method provides the possibility of examining the free-space spatiotemporal evolution of the electromagnetic field in relation to its dependence on the composition of its temporal- and angular-frequency spectra. Particular attention is given to the electromagnetic pulses whose monochromatic components are nondiffracting fields.

© 1998 Optical Society of America

OCIS Codes
(300.6170) Spectroscopy : Spectra

Original Manuscript: December 1, 1997
Revised Manuscript: March 27, 1998
Manuscript Accepted: April 16, 1998
Published: August 1, 1998

Z. Bouchal, J. Bajer, and M. Bertolotti, "Vectorial spectral analysis of the nonstationary electromagnetic field," J. Opt. Soc. Am. A 15, 2172-2181 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. N. George, S. Radic, “Theory for the propagation of short electromagnetic pulses,” Opt. Commun. 139, 1–6 (1997). [CrossRef]
  2. Z. Wang, Z. Xu, Z. Zhang, “Diffraction integral formulas of the pulsed wave field in the temporal domain,” Opt. Lett. 22, 354–356 (1997). [CrossRef] [PubMed]
  3. B. Hafizi, P. Sprangle, “Diffraction effects in directed radiation beams,” J. Opt. Soc. Am. A 8, 705–717 (1991). [CrossRef]
  4. R. W. Ziolkowski, “Localized wave physics and engineering,” Phys. Rev. A 44, 3960–3984 (1991). [CrossRef] [PubMed]
  5. P. Hillion, “Distortion-free progressing waves,” Europhys. Lett. 33, 7–10 (1996). [CrossRef]
  6. J. Fagerholm, A. T. Friberg, D. P. Morgan, M. Salomaa, “Angular-spectrum representation of nondiffracting X waves,” Phys. Rev. E 54, 4347–4352 (1996). [CrossRef]
  7. A. T. Friberg, J. Fagerholm, M. Salomaa, “Space-frequency analysis of nondiffracting pulses,” Opt. Commun. 136, 207–212 (1997). [CrossRef]
  8. P. Hillion, “Nondispersive wave representation of photons,” Phys. Rev. A 172, 1–2 (1992).
  9. M. M. Wefers, K. A. Nelson, A. M. Weiner, “Multidimensional shaping of ultrafast optical waveforms,” Opt. Lett. 21, 746–748 (1996). [CrossRef] [PubMed]
  10. J. Lu, J. F. Greenleaf, “Nondiffracting X waves-exact solutions to free-space scalar wave equation and their finite aperture realizations,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19–31 (1992). [CrossRef] [PubMed]
  11. J. Lu, J. F. Greenleaf, “Experimental verification of nondiffracting X waves,” IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 441–446 (1992). [CrossRef] [PubMed]
  12. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1961).
  13. M. Nieto-Vesperinas, Scattering and Diffraction in Physical Optics (Wiley, New York, 1991).
  14. B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991).
  15. H. Sonajalg, P. Saari, “Suppression of temporal spread of ultrashort pulses in dispersive media by Bessel beam generators,” Opt. Lett. 21, 1162–1164 (1996). [CrossRef] [PubMed]
  16. Z. Bouchal, M. Olivı́k, “Non-diffractive vector Bessel beams,” J. Mod. Opt. 42, 1555–1566 (1995). [CrossRef]
  17. R. D. Romea, W. Kimura, “Modeling of inverse Čerenkov laser acceleration with axicon laser-beam focusing,” Phys. Rev. D 42, 1807–1818 (1990). [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
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited