## Vectorial spectral analysis of the nonstationary electromagnetic field

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

http://dx.doi.org/10.1364/JOSAA.15.002172

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### Abstract

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

**Citation**

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

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-8-2172

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### References

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

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