Evolution of subcycle pulses in nonparaxial Gaussian beams

Optics Express

Volumn 8, Issue 11, 2001, Pages 590-598

  Saari, Peeter ^a  

^a UNIVERSITY OF TARTU   (Estonia)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ELECTROMAGNETIC WAVE DIFFRACTION; FOURIER TRANSFORMS; MATHEMATICAL MODELS; NONLINEAR OPTICS; OPTICAL RESONATORS; PHASE SHIFT; WAVE EFFECTS; WAVE PROPAGATION;

ELECTROMAGNETIC THEORY; MATHEMATICAL METHODS IN PHYSICS; PULSES; ULTRAFAST OPTICS;

OPTICAL SYSTEMS;

EID: 0000721236     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OE.8.000590     Document Type: Article

References (17)

1. C. J. R. Sheppard and H. J. Matthews, "Imaging in high-aperture optical systems," J. Opt. Soc. Am. A 4, 1354-1360 (1987).
2. C. J. R. Sheppard and S. Saghafi, "Beam modes beyond the paraxial approximation: A scalar treatment," Phys. Rev. A 57, 2971-2979 (1998).
3. Z. Ulanowski and I. K. Ludlow, "Scalar field of nonparaxial Gaussian beams," Opt. Lett. 25, 1792-1794 (2000).
4. G. A. Deschamps, "Gaussian beam as a bundle of complex rays," Electron. Lett. 7, 684-685 (1971).
5. R. W. Hellwarth and P. Nouchi, "Focused one-cycle electromagnetic pulses,"," Phys. Rev. E 54, 889-896 (1996).
6. A. E. Kaplan, "Diffraction-induced transformation of near-cycle and subcycle pulses," J. Opt. Soc. Am. B 15, 951-956 (1998).
7. M. A. Porras, "Ultrashort pulsed Gaussian light beams," Phys. Rev. E 58, 1086-1093 (1998).
8. S. M. Feng, H. G. Winful, and R. W. Hellwarth "Spatiotemporal evolution of focused single-cycle electromagnetic pulses," Phys. Rev. E 59, 4630-4649 (1999).
9. Z. L. Horváth and Zs. Bor, "Reshaping of femtosecond pulses by the Gouy phase shift," Phys. Rev. E 60, 2337-2345 (1999).
10. S. M. Feng and H. G. Winful, "Spatiotemporal structure of isodiffracting ultrashort electromagnetic pulses," Phys. Rev. E 61, 862-873 (2000).
11. B. T. Landesman and H. H. Barret, "Gaussian amplitude functions that are exact solutions to the scalar Helmholtz equation," J. Opt. Soc. Am. A 5, 1610-1619 (1988).
12. P. Saari, "Superluminal localized waves of electromagnetic field in vacuo," in Proc. Intern. Conf. "Time's Arrows, Quantum Measurements and Superluminal Behaviour," Naples, Oct.2-5, 2000 (to be published by the Italian NCR), Los Alamos preprint archive, http://xxx.lanl.gov/abs/physics/ 0103054
13. E. Heyman, B. Z. Steinberg, and L. B. Felsen, "Spectral analysis of focus wave modes," J. Opt. Soc. Am. A 4, 2081-2091 (1987).
14. R. W. ZiolkDwski, I. M. Besieris, and A. M. Shaarawi, "Aperture realizations of exact solutions to homogeneous wave equations," J. Opt. Soc. Am. A 10, 75-87 (1993).
15. P. Saari and K. Reivelt, "Evidence of X-shaped propagation-invariant localized light waves," Phys. Rev. Lett. 79, 4135-4138 (1997).
16. K. Reivelt and P. Saari, "Optical generation of focus wave modes,"J. Opt. Soc. Am. A 17, 1785-1790 (2000).
17. C. J. R. Sheppard and S. Saghafi, "Electromagnetic Gaussian beams beyond the paraxial approximation," J. Opt. Soc. Am. A 16, 1381-1386 (1999).