Paraxial localized waves in free space

Optics Express

Volumn 12, Issue 16, 2004, Pages 3848-3864

  Besieris, Ioannis M ^a   Shaarawi, Amr M ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b The American University in Cairo   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTROMAGNETIC WAVE DIFFRACTION; ELECTROMAGNETIC WAVE PROPAGATION; ELECTROMAGNETIC WAVE SCATTERING; ELECTROMAGNETIC WAVES; NONDESTRUCTIVE EXAMINATION; QUANTUM THEORY; REMOTE SENSING;

DIFFRACTION THEORY; LOCALIZED WAVES (LW); PULSE SHAPING; PULSED BEAM EQUATIONS;

LASER OPTICS;

EID: 4644301367     PISSN: 10944087     EISSN: None     Source Type: Journal    
DOI: 10.1364/OPEX.12.003848     Document Type: Article

References (21)

1. R. W. Ziolkowski, "Localized transmission of electromagnetic energy," Phys. Rev. A 39, 2005-2033 (1989).
2. R. W. Ziolkowski, I. M. Besieris and A. M. Shaarawi, "Localized wave representations of acoustic and electromagnetic radiation," Proc. IEEE 79, 1371-1378 (1991).
3. I. M. Besieris, M. Abdel-Rahman, A. M. Shaarawi and A. Chatzipetros, "Two fundamental representations of localized pulse solutions to the scalar wave equation," Progr. Electromagn. Res. (PIER) 19, 1-48 (1998).
4. E. Recami, "On localized "X-shaped" superluminal solutions to Maxwell's equations," Physica A 252 586-610 (1998).
5. J. Salo, J. Fagerholm, A. T. Friberg and M. M. Salomaa, "Unified description of nondiffracting X and Y waves," Phys. Rev. E 62, 4261-4275 (2000).
6. P. Saari and K. Reivelt, "Generation and classification of localized waves by Lorentz transformations in Fourier space," Phys. Rev. E 65, 036612 1-12 (2004).
7. S. Longhi, "Spatial-temporal Gauss-Laguerre waves in dispersive media," Phys. Rev. E 68, 066612 1-6 (2003).
8. C. Conti, S. Trillo, P. Dl Trapani, G. Valiulis, A. Piskarskas, O. Jedrkiewicz and J. Trull, "Nonlinear electromagnetic X waves," Phys. Rev. Lett. 90, 170406 1-4 (2003).
9. R. Grunwald, V. Kebbel, U. Griebner, U. Neumann, A. Kummrow, M. Rini, E. T. J. Nibbering, M. Piche, G. Rousseau and M. Fortin, "Generation and characterization of spatially and temporally localized few-cycle optical wave packets," Phys. Rev. A 67, 063820 1-5 (2003).
10. E. Heyman, "Pulsed beam propagation in an inhomogeneous medium," IEEE Trans. Antennas Propag. 42, 311-319(1994).
11. M. A. Porras, "Ultrashort pulsed Gaussian light beams," Phys. Rev. E 58, 1086-1093 (1998).
12. M. A. Porras, "Nonsinusoidal few-cycle pulsed light beams in free space," J. Opt. soc. Am. B 16, 1468-1474 (1999).
13. A. Erdelyi, Tables of Integral Transforms (Academic Press, New York, 1980), Vol. I.
14. 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).
15. P. Saari, "Evolution of subcycle pulses in nonparaxial Gaussian beams," Opt Express, 8, 590-598 (2001). http://www.opticsexpress.org/ abstract.cfm?URI=OPEX-8-11-590.
16. J. Y. Lu and J. F. Greenleaf, "Nondiffracting X waves-exact solutions to the free-space wave equation and their finite aperture realizations," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19-31 (1992).
17. R. W. Ziolkowski, I. M. Besieris and A. M. Shaarawi, "Aperture realizations of the exact solutions to homogeneous-wave equations," J. Opt. Soc. Am. A10, 75-87 (1993).
18. A. Wunsche, "Embedding of focus wave modes into a wider class of approximate wave functions," J. Opt. Soc. Am. A 6, 1661-1668 (1989).
19. L M. Besieris, M. Abdel-Rahman and A. M. Shaarawi, "Symplectic (nonseparable) spectra and novel, slowly decaying beam solutions to the complex parabolic equation," URSI Digest, p. 281 (abstract), IEEE AP-S Intern. Symp. and URSI Natl. Meeting, Baltimore, MD, July 21-26 (1996).
20. S. Longhi, "Gaussian pulsed beams with arbitrary speeds," Opt. Express, 12, 935-940 (2004). http://www.opticsexpress.org/abstract.cfm?URI=OPEX- 12-5-935.
21. P. A. Be'langer, "Lorentz transformations of packet-like solutions of the homogeneous wave equation,"J. Opt. Soc. Am. A 3, 541-542 (1986).