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Reflection and Transmission of an Electromagnetic X-Wave Incident on a Planar Air-Dielectric Interface: Spectral Analysis
By
, Vol. 30, 213-249, 2001
Abstract
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
Amr Shaarawi Ioannis Besieris Ahmed Mohamed Attiya E. El-Diwany , "Reflection and Transmission of an Electromagnetic X-Wave Incident on a Planar Air-Dielectric Interface: Spectral Analysis," , Vol. 30, 213-249, 2001.
doi:10.2528/PIER00042502
http://www.jpier.org/PIER/pier.php?paper=0004252
References

1. Brittingham, J. N., "Focus wave modes in homogeneous Maxwell equations: Transverse electric mode," J. Appl. Phys., Vol. 54, 1179-1189, 1983.
doi:10.1063/1.332196

2. Ziolkowski, R. W., "Exact solutions of the wave equation with complex source locations," J. Math. Phys, Vol. 26, 861-863, 1985.
doi:10.1063/1.526579

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.
doi:10.1063/1.528301

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.
doi:10.1109/58.166806

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.
doi:10.1364/JOSAA.10.000075

6. Recami, E., "On the localized ‘X-shaped’ superluminal solutions to Maxwell’s equations," Physica A, Vol. 252, 586-610, 1998.
doi:10.1016/S0378-4371(97)00686-9

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.
doi:10.2528/PIER97072900

8. Shaarawi, A. M., "Comparison of two localized wavefields generated from dynamic apertures," J. Opt. Soc. Am. A, Vol. 14, 1804-1816, 1997.
doi:10.1364/JOSAA.14.001804

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.
doi:10.1103/PhysRevLett.62.147

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.
doi:10.1109/58.143178

11. Saari, P. and K. Reivelt, "Evidence of X-shaped propagationinvariant localized light waves," Phys. Rev. Lett., Vol. 21, 4135-4138, 1997.
doi:10.1103/PhysRevLett.79.4135

12. Power, D., R. Donnelly, and R. MacIsaac, "Spherical scattering of superpositions of localized waves," Phys. Rev. E, Vol. 48, 1410-1417, 1993.
doi:10.1103/PhysRevE.48.1410

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.
doi:10.1109/8.564083

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.
doi:10.1121/1.428345

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.
doi:10.1103/PhysRevE.54.4347

19. Friberg, A. T., J. Fagerholm, and M. M. Salomaa, "Space-frequency analysis of nondiffracting pulses," Opt. Comm., Vol. 136, 207-212, 1997.
doi:10.1016/S0030-4018(96)00703-1

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.
doi:10.1063/1.531277

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.
doi:10.1364/JOSAA.12.001954

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.
doi:10.1364/JOSAA.8.000705

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.
doi:10.1364/JOSAA.13.001719