Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 44 > pp. 103-129

Scattering of X-Waves from a Circular Disk Using a Time Domain Incremental Theory of Diffraction

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

Full Article PDF (291 KB)

The diffraction and scattering of a first-order ultrawideband TE X-wave by a perfectly conducting circular disk is investigated using an augmented time-domain incremental theory of diffraction. The analysis relies on a pulsed plane wave representation of the incident X-wave. The diffraction and scattering of each constituent pulsed plane wave component is calculated at the observation point. A subsequent azimuthal angular superposition yields the diffracted and scattered field due to the incident X-wave pulse. Making use of the localization and symmetry properties of the incident TE X-wave, a novel four-sensor correlated detection scheme is introduced which is particularly effective in detecting the edges of the scattering disk and has an exceptional resolving power.

Citation: (See works that cites this article)
A. M. Attiya, E. El-Diwany, A. M. Shaarawi, and I. M. Besieris, "Scattering of x-waves from a circular disk using a time domain incremental theory of diffraction," Progress In Electromagnetics Research, Vol. 44, 103-129, 2004.

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. Ziolkowski, R. W., "Localized transmission of electromagnetic energy," Phys. Rev. A, Vol. 39, 2005-2033, 1989.

4. Ziolkowski, R. W., "Properties of electromagnetic beams generated by ultra-wide bandwidth pulse driven arrays," IEEE Trans. Antennas and Prop., Vol. 40, 888-905, 1992.

5. Ziolkowski, R. W., D. Lewis, and B. Cook, "Evidence of localized wave transmission," Phys. Rev. Lett., Vol. 62, 147-150, 1989.

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

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

8. Saari, P. and K. Reivelt, "Evidence of X-shaped propagationinvariant localized light waves," Phys. Rev. lett., Vol. 79, 4135-4138, 1997.

9. Reivelt, K. and P. Saari, "Optical generation of focus wave modes," J. Opt. Soc. Am. A, Vol. 17, 1785-1790, 2000.

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

11. 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, Vol. PIER 19, 1-48, 1998.

12. Ziolkowski, R. W., I. M. Besieris, and A. M. Shaarawi, "Aperture realization of exact solution to homogenous-wave equations," J. Opt. Soc. Am. A, Vol. 10, 75-87, 1993.

13. 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.

14. Mugnai, D., A. Ranfagni, and R. Ruggeri, "Observation of superluminal behaviors in wave propagation," Phys. Rev. Lett., Vol. 84, 4830-4833, 2000.

15. Recami, E., "On localized X-shaped superluminal solutions to Maxwell's equations," Physica A, Vol. 252, 586-610, 1998.

16. Attiya, A. M., "Transverse (TE) electromagnetic X-waves: Propagation, scattering, diffraction and generation problems," Ph.D. Thesis, No. 5, 2001.

17. Attiya, A. M., E. El-Diwany, A. M. Shaarawi, and I. M. Besieris, "Diffraction of a transverse electric (TE) X wave by conducting objects," Accepted for publication..

18. Kouyoumjian, R. G. and P. H. Pathak, A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface, Proc. IEEE, Vol. 62, 1448-1461, 1974.

19. Rousseau, P. R. and P. H. Pathak, "Time-domain uniform geometrical theory of diffraction for a curved wedge," IEEE Trans. Antennas and Prop., Vol. 43, 1375-1382, 1995.

20. Capolino, F. and R. Tiberio, A time-domain incremental theory of diffraction (TD-ITD) for a wedge, Proceedings of the International Conference on Electromagnetic in Advanced Application (ICEAA 01), 10-14, 2001.

21. Tiberio, R. and S. Maci, "An incremental theory of diffraction: scalar formulation," IEEE Trans. Antennas and Prop., Vol. 42, 600-611, 1994.

22. Tiberio, R., S. Maci, and A. Toccafondi, "An incremental theory of diffraction: Electromagnetic formulation," IEEE Trans. Antennas and Prop., Vol. 43, 87-96, 1995.

23. Maci, S., R. Tiberio, and A. Toccafondi, "Incremental diffraction coefficients for source and observation at finite distances from an edge," IEEE Trans. Antennas and Prop., Vol. 44, 593-599, 1996.

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

25. Attiya, A. M., E. El-Diwany, A. M. Shaarawi, and I. M. Besieris, "A time-domain incremental theory of diffraction: scattering of electromagnetic pulsed plane waves," submitted to the same journal..

26. Attiya, A. M., E. A. El-Diwany, A. M. Shaarawi, and I. M. Besieris, "Reflection and transmission of X-waves in the presence of planarly layered media: The pulsed plane wave representation," Progress in Electromagnetics Research, Vol. 30, 191-211, 2000.

27. Jordan, E. C. and K. G. Balmain, Electromagnetic Waves and Radiating Systems, Prentice-Hall, New Delhi, 1974.

28. Gradshteyn, I. S. and I. M. Ryzhik, Table of Integrals, Series and Products, Fifth Edition, Academic Press, Boston, 1994.

© Copyright 2014 EMW Publishing. All Rights Reserved