2011-11-09
Specteral Domain Analysis of Resonant Characteristics and Radiation Patterns of a Circular Disk and Annular Ring Microstrip Antenna on Uniaxial Substrate
By
Progress In Electromagnetics Research M, Vol. 21, 237-251, 2011
Abstract
A full-wave analysis for determining the resonant frequency, quality factor and far-zone radiation patterns of a circular disk and annular ring microstrip patches, printed on a uniaxial anisotropic substrate is presented. Green's functions of the structure are determined in Hankel transform domain (HTD) using Hertz potential vectors. Galerkin's method, together with parsval's relation in Hankel transform domain is then applied to compute the resonant frequency and quality factor. The far-zone radiation patterns are expressed in terms of Hankel transforms of the tangential fields on the substrate. Wave equation is solved in cylindrical coordinates for the structure to estimate the basis function. The numerical results show that there are substantial deviations in calculated resonant frequency and quality factor when substrate dielectric anisotropy is considered. Furthermore, significant variations are seen in the radiation patterns of the structures due to substrate anisotropy. The variations of resonant frequency, quality factor and radiation patterns of the structure, with respect to anisotropy ratio of the substrate, for several values of substrate thickness and patch radius are presented.
Citation
Alireza Motevasselian, "Specteral Domain Analysis of Resonant Characteristics and Radiation Patterns of a Circular Disk and Annular Ring Microstrip Antenna on Uniaxial Substrate," Progress In Electromagnetics Research M, Vol. 21, 237-251, 2011.
doi:10.2528/PIERM11091002
References

1. Alexopoulos, N. G., "Integrated circuit structures on anisotropic substrates," IEEE Trans. Microwave Theory Tech., Vol. 33, 847-881, Oct. 1985.
doi:10.1109/TMTT.1985.1133145        Google Scholar

2. Alexopoulos, N. G. and S. A. Maas, "Characteristics of microstrip directional couplers on anisotropic substrates," IEEE Trans. Microwave Theory Tech., Vol. 30, 1267-1270, Aug. 1982.
doi:10.1109/TMTT.1982.1131237        Google Scholar

3. Drake, E., R. R. Boix, M. Horno, and T. K. Sarkar, "Effect of substrate dielectric anisotropy on the frequency behavior of microstrip circuits," IEEE Trans. Microwave Theory Tech., Vol. 30, 1267-1270, Aug. 1982.
doi:10.1109/TMTT.1982.1131237        Google Scholar

4. Yang, H. Y. and N. G. Alexopoulos, "Uniaxial and biaxial sub-strate effects on finline characteristics," IEEE Trans. Microwave Theory Tech., Vol. 35, 24-29, Jan. 1987.
doi:10.1109/TMTT.1987.1133590        Google Scholar

5. Bouttout, F., F. Benabdelaziz, A. Benghalia, D. Khedrouche, and T. Fortaki, "Uniaxially anisotropic substrate effects on resonance of rectangular microstrip patch antenna," Electron. Lett., Vol. 35, No. 4, 255-256, Feb. 1999.
doi:10.1049/el:19990026        Google Scholar

6. Zhao, A., J. Juntunen, and A. V. Risnen, "An effcient FDTD algorithm for the analysis of microstrip patch antennas printed on a general anisotropic dielectric substrate," IEEE Trans. Microwave Theory Tech., Vol. 47, No. 7, Jul. 1999.        Google Scholar

7. Pozar, D. M., "Radiation and scattering from a micro strip patch on a uniaxial substrate," IEEE Trans. Antennas Propagat., Vol. 35, 613-621, Jun. 1987.
doi:10.1109/TAP.1987.1144161        Google Scholar

8. Campos, A. L. P. S. and A. G. D'Assunqiio, "Hertz vector potential analysis of FSS on anisotropic substrates," Proceedings SBMO/IEEE MTT-S IMOC, 2003.        Google Scholar

9. Michalski, K. A. and D. Zheng, "Analysis of microstrip resonators of arbitrary shape," IEEE Trans. Microwave Theory Tech., Vol. 40, 112-119, Jan. 1992.
doi:10.1109/22.108330        Google Scholar

10. Bahl, I. J. and P. Bhartia, Mirostrip Antennas, Artech House, 1980.

11. Losada, V., R. R. Boix, and M. Horn, "Resonant modes of circular microstrip patches in multilayered substrate," IEEE Trans. Antennas propagat., Vol. 47, No. 4, Apr. 1999.        Google Scholar

12. Losada, V., R. R. Boix, and M. Horno, "Full wave analysis of circular microstrip resonators in multilayered media containing uniaxial anisotropic dielectrics, magnetized ferrites, and chiral materials," IEEE Trans. Microwave Theory Tech., Vol. 48, 1057-1064, Jun. 2000.
doi:10.1109/22.904745        Google Scholar

13. Curel, C. S. and E. Yazgan, "Characteristics of a circular patch microstrip antenna on uniaxialiy anisotropic substrate," IEEE Trans. Antennas Propagat., Vol. 52, No. 10, Oct. 2003.        Google Scholar

14. Losada, V., R. R. Boix, and F. Medina, "Resonant modes of stacked circular microstrip patches in multilayered substrates con- taining anisotropic and chiral materials," Journal of Electromag- netic Waves and Applications, Vol. 17, No. 4, 619-640, 2003.
doi:10.1163/15693930360681992        Google Scholar

15. Row, J.-S., "Dual-frequency circularly polarised annular-ring microstrip antenna," Electron. Lett., Vol. 40, No. 3, Feb. 2004.        Google Scholar

16. Bahl, I. J., S. Stuchly, and M. A. Stuchly, "A new microstrip radiator for medical applications," IEEE Trans. Microwave Theory Tech., Vol. 28, No. 12, Dec. 1980.
doi:10.1109/TMTT.1980.1130268        Google Scholar

17. Gomez-Tagle, J. and C. G. Christodoulou, "Extended cavity model analysis of stacked microstrip ring antenna," IEEE Trans. Antennas Propagat., Vol. 45, No. 11, Nov. 1997.        Google Scholar

18. Ali, S. M., W. C. Chew, and J. A. Kong, "Vector hankel transform analysis of annular-ring microstrip antenna," IEEE Trans. Antennas Propagat., Vol. 30, 637-644, Jul. 1982.        Google Scholar

19. Wu, Y. S. and F. J. Rosenbaum, "Mode chart for microstrip ring resonators," IEEE Trans. Microwave Theory Tech., Jul. 1973.        Google Scholar

20. Barkat, Q and A. Benghalia, "Radiation and resonant frequency of superconducting annular ring microstrip antenna on uniaxial anisotropic media," Journal of Infrared, Millimeter and Terahertz, Vol. 30, No. 10, 1053-1066, Jun. 2009.
doi:10.1007/s10762-009-9526-2        Google Scholar

21. Gurel, G. S. and E. Yazgan, "Resonance in microstrip ring resonator with uniaxially anisotropic substrate and superstrate layers," Journal of Electromagnetic Waves and Applications, Vol. 4, No. 8-9, 1135-1144, 2010.
doi:10.1163/156939310791585981        Google Scholar

22. Silva. S. G., J. R. S. Oliveira., and A. G. Dassuno, "Annular ring microstrip antennas for millimeter wave applications," Int. Journal of Infrared and Millimeter Waves, 821-829, Apr. 2007.        Google Scholar

23. Collin, R. E., Field Theory of Guided Waves, 2nd edition, IEEE Press, New York, 1991.

24. Araki, K. and T. Itoh, "Hankel transform domain analysis of open circular microstrip radiating structure," IEEE Trans. Antennas Propagat., Vol. 29, No. 1, Jan. 1981.
doi:10.1109/TAP.1981.1142521        Google Scholar

25. Clarke, R. H., Diffraction Theory and Antenna, Wiley, New York, 1980.

26. Balanis, C. A., Antenna Theory-Analysis and Design, 3rd edition, Wiley, New York, 2005.