Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 30 > pp. 213-249


By A. M. Shaarawi, I. M. Besieris, A. M. Attiya, and E. El-Diwany

Full Article PDF (798 KB)

The spectral structure of the reflected and transmitted fields due to a three dimensional electromagnetic X-wave incident on a planar air-dielectric interface is examined. Using a novel superposition of azimuthally dependent pulsed plane waves, it is shown that for oblique incidence the reflected pulse has a localized wave structure. On the other hand, the transmitted field maintains its localization up to a certain distance from the interface beyond which it starts disintegrating. A study of the effects of polarization on the amplitudes of the reflected and transmitted wave fields is presented.

Citation: (See works that cites this article)
A. M. Shaarawi, I. M. Besieris, A. M. Attiya, and E. El-Diwany, "Reflection and Transmission of an Electromagnetic X-Wave Incident on a Planar Air-Dielectric Interface: Spectral Analysis," Progress In Electromagnetics Research, Vol. 30, 213-249, 2001.

1. Brittingham, J. N., "Focus wave modes in homogeneous Maxwell equations: Transverse electric mode," J. Appl. Phys., Vol. 54, 1179-1189, 1983.

2. Ziolkowski, R. W., "Exact solutions of the wave equation with complex source locations," J. Math. Phys, Vol. 26, 861-863, 1985.

3. Besieris, I. M., A. M. Shaarawi, and R. W. Ziolkowski, "A bidirectional traveling plane wave representation of exact solutions of the scalar wave equation," J. Math. Phys., Vol. 30, 1254-1269, 1989.

4. Lu, J. Y. and J. F. Greenleaf, "Nondiffracting X waves — exact solutions to free space scalar wave equation and their finite aperture realization," IEEE Trans. Ultrason. Ferroelec. Freq. Contr., Vol. 39, 19-31, 1992.

5. Ziolkowski, R. W., I. M. Besieris, and A. M. Shaarawi, "Aperture realizations of the exact solutions to homogeneous-wave equations," J. Opt. Soc. Am. A, Vol. 10, 75-87, 1993.

6. Recami, E., "On the localized ‘X-shaped’ superluminal solutions to Maxwell’s equations," Physica A, Vol. 252, 586-610, 1998.

7. Besieris, I., M. Abdel-Rahman, A. Shaarawi, and A. Chatzipetros, "Two fundamental representations of localized pulse solutions of the scalar wave equation," Progress in Electromagnetics Research (PIER), Vol. 19, 1-48, 1998.

8. Shaarawi, A. M., "Comparison of two localized wavefields generated from dynamic apertures," J. Opt. Soc. Am. A, Vol. 14, 1804-1816, 1997.

9. Ziolkowski, R. W., D. K. Lewis, and B. D. Cook, "Experimental verification of the localized wave transmission effect," Phys. Rev. Lett., Vol. 62, 147-150, 1989.

10. Lu, J. Y. and J. F. Greenleaf, "Experimental verification of nondiffracting X waves," IEEE Trans. Ultrason. Ferroelec. Freq. Contr., Vol. 39, 441-446, 1992.

11. Saari, P. and K. Reivelt, "Evidence of X-shaped propagationinvariant localized light waves," Phys. Rev. Lett., Vol. 21, 4135-4138, 1997.

12. Power, D., R. Donnelly, and R. MacIsaac, "Spherical scattering of superpositions of localized waves," Phys. Rev. E, Vol. 48, 1410-1417, 1993.

13. Lu, J. Y., M. Fatemi, and J. F. Greenleaf, "Pulsed-echo imaging with X wave," Acoust. Imag., P. Tortoli and L. Masotti (Eds.), Vol. 22, 191–196, 1996.

14. Hillion, P., "How do focus wave modes propagate across a discontinuity in a medium?," Optik, Vol. 93, 67-72, 1993.

15. Donnelly, R. and D. Power, "The behavior of electromagnetic localized waves at a planar interface," IEEE Trans. Antennas Propagat., Vol. 45, 580-591, 1997.

16. Shaarawi, A. M., I. M. Besieris, A. M. Attiya, and E. El-Diwany, "Acoustic X-wave reflection and transmission at a planar interface: spectral analysis," J. Acoust. Soc. Am., Vol. 107, 70-86, 2000.

17. Attiya, A. M., E. El-Diwany, A. M. Shaarawi, and I. M. Besieris, "Reflection and transmission of electromagnetic X-waves in the presence of planarly layered media: The pulsed plane wave representation," submitted to J. Electromagn. Waves Appl..

18. Fagerholm, J., A. T. Friberg, J. Huttunen, D. P. Morgan, and M. M. Salomaa, "Angular-spectrum representation of nondiffracting X waves," Phys. Rev. E, Vol. 54, 4347-4352, 1996.

19. Friberg, A. T., J. Fagerholm, and M. M. Salomaa, "Space-frequency analysis of nondiffracting pulses," Opt. Comm., Vol. 136, 207-212, 1997.

20. Shaarawi, A. M., R. W. Ziolkowski, and I. M. Besieris, "On the evanescent fields and the causality of the focus wave modes," J. Math. Phys., Vol. 36, 5565-5587, 1995.

21. Shaarawi, A. M., I. M. Besieris, R. W. Ziolkowski, and S. M. Sedky, "Generation of approximate focus wave mode pulses from wide-band dynamic Gaussian aperture," J. Opt. Soc. Am. A, Vol. 12, 1954-1964, 1995.

22. Born, M. and E. Wolf, Principles of Optics, Pergamon Press, Oxford, 1989.

23. Hafizi, B. and P. Sprangle, "Diffraction effects in directed radiation beams," J. Opt. Soc. Am. A, Vol. 8, 705-717, 1991.

24. Sedky, S. M., A. M. Shaarawi, F. M. Taiel, and I. M. Besieris, "On the diffraction length of localized waves generated by dynamic apertures," J. Opt. Soc. Am. A, Vol. 13, 1719-1727, 1996.

© Copyright 2014 EMW Publishing. All Rights Reserved