PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 68 > pp. 317-337

SIMULTANEOUS TIME-FREQUENCY MODELING OF ULTRA-WIDEBAND ANTENNAS BY TWO-DIMENSIONAL HERMITE PROCESSING

By G. Marrocco, M. Migliorelli, and M. Ciattaglia

Full Article PDF (486 KB)

Abstract:
This paper proposes an approximate space-time-frequency field representation for directive Ultra-wideband antennas useful to be introduced into a system-level evaluation tool. Based on the observation that the very near field collected on a plane close to the antenna exhibits a compact support, such a field is processed in the time domain by the two-dimensional Hermite transform. This approach permits to simultaneously express the antenna impulse response and the transfer function by semi-analytical formulas. The theory is demonstrated by numerical examples which highlights that good representations of complex antennas can be achieved by a small set of associate Hermite functions.

Citation: (See works that cites this article)
G. Marrocco, M. Migliorelli, and M. Ciattaglia, "Simultaneous Time-Frequency Modeling of Ultra-Wideband Antennas by Two-Dimensional Hermite Processing," Progress In Electromagnetics Research, Vol. 68, 317-337, 2007.
doi:10.2528/PIER06121901
http://www.jpier.org/PIER/pier.php?paper=06121901

References:
1. Ghavami, M., L. B. Michael, and R. Kohno, Ultra-wideband- signals and Systems in Communication Engineering, Wiley & Sons, 2004.

2. Marrocco, G., "Modal near-field to far-field transformation for FDTD modelling of aperture antennas," J. of Electromagn. Waves and Appl., Vol. 17, No. 1, 79-98, 2003.
doi:10.1163/156939303766975362

3. Marrocco, G. and M. Ciattaglia, "Ultra-wide band modelling of transient radiation from aperture antennas," IEEE Trans. Antennas Propagat., Vol. 52, No. 10, 2341-2347, 2004.
doi:10.1109/TAP.2004.834137

4. Kogelnik, H. and T. Li, "Laser beams resonators," Appl. Opt., Vol. 5, No. 10, 1550-1567, 1966.

5. Arora, R. K. and Z. Lu, "Graphical depiction of the electromagnetic fields of Hermite-Gaussian modes," IEE Proceed. Microwaves, Vol. 139, No. 4, 369-375, 1992.

6. Garcia-Munoz, V. and M. A. Muriel, "Hermite-gauss series expansions applied to arrayed waveguide gratings," IEEE Photonics Technology Letters, Vol. 17, No. 11, 2331-2333, 2005.
doi:10.1109/LPT.2005.857976

7. Shen, T., W. Dou, and Z. Sun, "Asymmetrical gauss-hermite beam-mode analysis of the hexagonal horn," IEEE Transactions on Microwave Theory and Techniques, Vol. 46, No. 10, 1444-1451, 1998.
doi:10.1109/22.721146

8. Withington, S. and J. A. Murphy, "Analysis of diagonal horns through Gaussian-Hermite modes," IEEE Trans. Antennas Propagat., Vol. 40, No. 2, 198-206, 1992.
doi:10.1109/8.127404

9. Bogush Jr., A. and R. Elkins, "Gaussian field expansions for large aperture antennas," IEEE Trans. Antennas Propagat., Vol. 34, No. 2, 228-243, 1986.
doi:10.1109/TAP.1986.1143795

10. Erteza, I. A. and J. W. Goodman, "A scalar variational analysis of rectangular dielectric waveguides using Hermite-Gaussian modal approximations," Journal of Lightwave Technology, Vol. 13, No. 3, 493-506, 1995.
doi:10.1109/50.372447

11. Rao, M. M., T. L. Sarkar, T. Anjali, and R. S. Adve, "Simultaneous extrapolation in time and frequency domains using hermite expansions," IEEE Trans. Antennas Propagat., Vol. 47, No. 6, 1108-1115, 1999.
doi:10.1109/8.777138

12. Martens, J. B., "The Hermite transform-theory," IEEE Trans.on Acustic Speech and Signal Processing, Vol. 38, No. 10, 1595-1606, 1990.
doi:10.1109/29.60086

13. Bardati, F., E. Di Giampaolo, A. Durantini, and G. Marrocco, Vertical antenna near-field computation in complex environ- mentd by an hybrid method, Proceedings of Applied Computa- tional Electromagnetics Conference (ACES), 975-980, 2000.

14. Shlivinski, A., E. Heyman, and R. Kastner, "Antenna characterization in the time domain," IEEE Trans. Antennas Propagat., Vol. 45, No. 7, 1140-1149, 1997.
doi:10.1109/8.596907

15. Ciattaglia, M. and G. Marrocco, "Approximate calculation of time-domain effective height for aperture antennas," IEEE Trans. Antennas Propagat., Vol. 53, No. 3, 1054-1061, 2005.
doi:10.1109/TAP.2004.842652

16. Yee, K. S., "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propagat., Vol. 14, No. 8, 801-806, 1966.

17. Lo Conte, L. R., R. Merletti, and G. V. Sandri, "Hermite expansion of compact support waveforms: application to myoelectric signals," IEEE Trans. Biomed. Eng., Vol. 41, No. 12, 1147-1159, 1994.
doi:10.1109/10.335863

18. Marrocco, G. and F. Bardati, "Time-domain macromodel of planar microwave devices by FDTD and moment expansion," IEEE Trans. Microwave Theory Tech., Vol. 49, No. 7, 1321-1328, 2001.
doi:10.1109/22.932253

19. Sarkar, T. K. and O. Pereira, "Using the Matrix Pencil method to estimate the parameters of a sum of complex exponentials," IEEE Antennas and Propagat. Magazine, Vol. 37, No. 1, 48-55, 1995.
doi:10.1109/74.370583

20. Yaghijan, A. D., "An overview of near-field antenna measure- ments," IEEE Trans. Antennas Propagat., Vol. 34, No. 1, 30-45, 1984.
doi:10.1109/TAP.1986.1143727

21. Press, Q. H., W. T. Vetterling, S. A. Teukolsky, and B. P. Flannery, Numerical Recipes in C, 147-157, 147-157, Cambridge University Press, Cambridge, USA, 1992.

22. Agrawall, N. P., G. Kumar, and K. P. Ray, "Wide-band planar monopole antennas," IEEE Trans.Antennas Propagat., Vol. 46, No. 2, 294-295, 1998.
doi:10.1109/8.660976

23. Soliman, M. S., A. Hirata, T. Morimoto, and Z.-I. Kawasaki, "Numerical and experimental study on three-dimensional local- ization for ultra-widebandimpulsive noise sources," J. of Electro- magn. Waves and Appl., Vol. 19, No. 2, 175-187, 2005.
doi:10.1163/1569393054497276

24. Klemm, M. and G. Troester, "EM energy absorption in the human body tissues due to UWB antennas," Progress In Electromagnetics Research, Vol. 62, 261-280, 2006.
doi:10.2528/PIER06040601

25. Eldek, A. A., "Numerical analysis of a small ultra wideband microstrip-FED tap monopole antenna," Progress In Electromag- netics Research, Vol. 65, 59-69, 2006.
doi:10.2528/PIER06082305

26. Eldek, A. A., "Design of double dipole antenna with enhanced usable bandwidth for wideband phased array applications," Progress In Electromagnetics Research, Vol. 59, 1-15, 2006.
doi:10.2528/PIER06012001


© Copyright 2014 EMW Publishing. All Rights Reserved