Spectral analysis of time-limited pulsed Gaussian wave fields

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 13, Issue 9, 1996, Pages 1827-1836

  Shaarawi, Amr M ^a   Sedky, Sherif M ^a   Taiel, Fawzia M M ^a   Ziolkowski, Richard W ^b   Besieris, Ioannis M ^c  

^a CAIRO UNIVERSITY   (Egypt)

^b University of Arizona   (United States)

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

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVES; FOURIER TRANSFORMS; FREQUENCIES; INTEGRATION; OSCILLATIONS; SIGNAL RECEIVERS;

BROADBAND SIGNAL; FOCUS WAVE MODE; HUYGEN FORMULA; PULSED WAVE FIELDS; QUASI MONOCHROMATIC SIGNALS;

SPECTRUM ANALYSIS;

EID: 0030241496     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.13.001827     Document Type: Article

References (14)

1. J. N. Brittingham, “Focus wave modes in homogeneous Maxwell’s equations: transverse electric mode,” J. Appl. Phys. 54, 1179–1189 (1983).
2. T. T. Wu and R. W. King, “Comments on focus wave modes in homogenous Maxwell’s equations: transverse electric mode,” J. Appl. Phys. 56, 2587 (1984).
3. R. W. Ziolkowski, “Exact solutions of the wave equation with complex source locations,” J. Math. Phys. 26, 861–863 (1985).
4. A. M. Shaarawi, I. M. Besieris, and R. W. Ziolkowski, “Localized energy pulse trains launched from an open, semiinfinite, circular waveguide,” J. Appl. Phys. 65, 805–813 (1989).
5. R. W. Ziolkowski, I. M. Besieris, and A. M. Shaarawi, “Localized wave representation of acoustic and electromagnetic radiation,” Proc. IEEE 79, 1371–1378 (1991).
6. R. W. Ziolkowski, “Properties of electromagnetic beams generated by ultra-wide bandwidth pulse-driven arrays,” IEEE Trans. Antennas Propag. 40, 888–905 (1992).
7. A. M. Vengsarkar, I. M. Besieris, A. M. Shaarawi, and R. W. Ziolkowski, “Closed-form, localized wave solutions in optical fiber waveguides,” J. Opt. Soc. Am. A 9, 937–949 (1992).
8. R. W. Ziolkowski, I. M. Besieris, and A. M. Shaarawi, “Aperture realizations of the exact solutions to homogeneous wave-equations,” J. Opt. Soc. Am. A 10, 75–87 (1993).
9. R. Donnelly and R. W. Ziolkowski, “A method of constructing solutions of homogenous partial differential equations: localized waves,” Proc. R. Soc. London Ser. A 437, 673–692 (1992).
10. R. W. Ziolkowski, “Localized transmission of electromagnetic energy,” Phys. Rev. A 39, 2005–2033 (1989).
11. A. M. Shaarawi, R. W. Ziolkowski, and I. M. Besieris, “On the evanescent fields and the causality of the focused wave modes,” J. Math. Phys. 36, 5565–5587 (1995).
12. A. M. Shaarawi, I. M. Besieris, R. W. Ziolkowski, and S. M. Sedky, “Generation of approximate focused-wave-mode pulses from wide-band dynamic Gaussian apertures,” J. Opt. Soc. Am. A 12, 1954–1964 (1995).
13. R. W. Ziolkowski and J. B. Judkins, “Propagation characteristics of ultrawide-bandwidth pulsed Gaussian beams,” J. Opt. Soc. Am. A 9, 2021–2030 (1992).
14. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York 1953), Sec. 11.3.