2020-12-14
Li's Formula Extended to Determine Accurate Resonant Frequency of a Rectangular Patch Antenna in Multi-Dielectric Layers
By
Progress In Electromagnetics Research M, Vol. 99, 177-189, 2021
Abstract
In this article, the drawbacks of Li's formula is rectified and extended to compute accurately the resonant frequency of a rectangular patch antenna in multi-dielectric layers. Computed results employing the present model are compared with experimental and simulation results. The present model shows excellent improvement in accuracy compared to the previously reported investigations.
Citation
Manotosh Biswas, Sourav Banik, and Mihir Dam, "Li's Formula Extended to Determine Accurate Resonant Frequency of a Rectangular Patch Antenna in Multi-Dielectric Layers," Progress In Electromagnetics Research M, Vol. 99, 177-189, 2021.
doi:10.2528/PIERM20082901
References

1. Bogosanovich, M., "Microstrip patch sensor for measurement of the permittivity of homogeneous dielectric materials," IEEE Trans. Instrum. Meas., Vol. 49, 1144-1148, 2000.
doi:10.1109/19.872944        Google Scholar

2. Verma, A. K., Nasimuddin, and A. S. Omar, "Microstrip resonator sensors for determination of complex permittivity of materials in sheet, liquid and paste forms," Proc. Ins. Elect. Eng., Vol. 152, 47-54, 2005.        Google Scholar

3. Zucchelli, A., M. Chimenti, E. Bozzi, and P. Nepa, "Application of a coaxial-fed patch to microwave non-destructive porosity measurements in low-loss dielectrics," Progress In Electromagnetics Research M, Vol. 5, 1-14, 2008.
doi:10.2528/PIERM08100302        Google Scholar

4. Biswas, M. and M. Dam, "CAD oriented improved cavity model to investigate a 30˚-60˚-90˚ right angled triangular patch antenna on single, composite and suspended substrate for the application in portable wireless equipments," IET Microw. Antennas Propagat., Vol. 12, No. 3, 425-434, 2018.
doi:10.1049/iet-map.2017.0721        Google Scholar

5. Biswas, M. and M. Sen, "Design and development of rectangular patch antenna with superstrates for the application in portable wireless equipments and aircraft radome," Microw. Opt. Tech. Lett., Vol. 56, 883-893, 2014.
doi:10.1002/mop.28197        Google Scholar

6. Li, Y. and N. Bowler, "Resonant frequency of a rectangular patch sensor covered with multilayered dielectric structures," IEEE Trans. Antennas Propagat., Vol. 58, 1883-1889, 2010.        Google Scholar

7. Bahl, J., P. Bhartia, and S. Stuchly, "Design of microstrip antennas covered with a dielectric layer," IEEE Trans. Antennas Propagat., Vol. 30, 314-318, 1982.
doi:10.1109/TAP.1982.1142766        Google Scholar

8. Verma, A. K., "Analysis of rectangular patch antenna with dielectric cover," IEICE Trans., Vol. 74, 1270-1275, 1991.        Google Scholar

9. Benalla, A. and K. C. Gupta, "Multiport network model for rectangular microstrip patches covered with a dielectric layer," IEE Proc., Vol. 137, 377-383, 1990.        Google Scholar

10. Qasim, G. and S. Zhong, "Resonant frequency of a rectangular microstrip antenna covered with dielectric layer," J. Shanghai Univ. of Sci. & Tech., Vol. 14, 77-84, 1991.        Google Scholar

11. Nelson, R. M., D. A. Rogers, and A. G. D'Assuncio, "Resonant frequency of a rectangular microstrip patch on several uniaxial substrates," IEEE Trans. Antennas Propagat., Vol. 38, 978-981, 1990.        Google Scholar

12. Pribetich, J., "Modelling of microstrip antenna with dielectric protective layer for lossy medium," Electron Lett., Vol. 24, 1464-1465, 1988.
doi:10.1049/el:19881000        Google Scholar

13. Svacina, J., "Analysis of multilayer microstrip lines by a conformal mapping method," IEEE Trans. Microw. Theory Tech., Vol. 40, 769-772, 1992.
doi:10.1109/22.127530        Google Scholar

14. Svacina, J., "A simple quasi-static determination of basic parameters of multilayer microstrip and coplanar waveguide," IEEE Microw. Guided Wave Lett., Vol. 2, 385-387, 1992.
doi:10.1109/75.160115        Google Scholar

15. Zhong, S.-S., G. Liu, and G. Qasim, "Closed form expressions for resonant frequency of rectangular patch antennas with multidielectric layers," IEEE Trans. Antennas and Propagat., Vol. 42, 1360-1363, 1994.
doi:10.1109/8.318667        Google Scholar

16. Biswas, M., S. Banik, M. Biswas, and A. Sukla, "CAD model to predict the effect of radome on the characteristics of rectangular patch antenna," Microw. Opt. Tech. Lett., Vol. 55, 2460-2468, 2013.
doi:10.1002/mop.27809        Google Scholar

17. Bernhard, J. T. and C. J. Tousignant, "Resonant frequencies of rectangular microstrip antennas with flush and spaced dielectric superstrates," IEEE Trans. Antennas Propagat., Vol. 47, 302-308, 1999.
doi:10.1109/8.761070        Google Scholar

18. Biswas, M. and A. Mandal, "Experimental and theoretical investigation of resonance and radiation characteristics of superstrate loaded rectangular patch antenna," Microw. Opt. Tech. Lett., Vol. 57, 791-799, 2014.        Google Scholar

19. Biswas, M. and D. Guha, "Input impedance and resonance characteristic of superstrate loaded triangular microstrip patch," IET Microw. Antennas Propagat., Vol. 3, 92-98, Feb. 2009.
doi:10.1049/iet-map:20080097        Google Scholar

20. Guha, D. and J. Y. Siddiqui, "Resonant frequency of circular microstrip antenna covered with dielectric superstrate," IEEE Trans. Antennas Propagat., Vol. 51, 1649-1652, 2003.
doi:10.1109/TAP.2003.813620        Google Scholar

21. Losada, V., R. R. Boix, and M. Horno, "Resonant modes of circular microstrip patches in multilayered substrates," IEEE Trans. Microw. Theory Tech., Vol. 47, 488-497, 1999.
doi:10.1109/22.754883        Google Scholar

22. Bhattacharyya, A. and T. Tralman, "Effects of dielectric superstrate on patch antennas," Electron. Lett., Vol. 24, 356-358, Mar. 1988.
doi:10.1049/el:19880242        Google Scholar

23. Kirschning, M., R. H. Jansen, and N. H. L. Koster, "Accurate model for open end effect of microstrip lines," Electron. Lett., Vol. 17, 123-125, Feb. 1981.
doi:10.1049/el:19810088        Google Scholar

24. Guha, D., "Resonant frequency of circular microstrip antennas with and without air gaps," IEEE Trans. Antennas Propagat., Vol. 49, 55-59, Jan. 2001.
doi:10.1109/8.910530        Google Scholar

25. Garg, R., P. Bhartia, I. Bahl, and A. Ittipiboon, Microstrip Antenna Design Handbook, Artech House, 2001.

26. Chattopadhyay, S., B. Biswas, J. Y. Siddiqui, and D. Guha, "Rectangular microstrips with variable air gap and varying aspect ratio: Improved formulations and experiments," Microw Opt. Tech. Lett., Vol. 51, 169-173, 2009.
doi:10.1002/mop.24025        Google Scholar

27. James, J. R. and P. S. Hall, The Handbook of Microstrip Antennas, Vol. 1 & 2, Peter Peregrinus Ltd., 1989.

28. Chattopadhyay, S., M. Biswas, J. Y. Siddiqui, and D. Guha, "Input impedance of probe-fed rectangular microstrip antennas with variable air gap and varying aspect ratio," IET Microw. Antennas Propagat., Vol. 3, 1151-1156, 2009.
doi:10.1049/iet-map.2008.0320        Google Scholar

29. Ali, A., "A closed-form expression for the resonant frequency of rectangular microstrip antennas," Microw. Opt. Tech. Lett., Vol. 49, No. 8, 1848-1852, 2007.
doi:10.1002/mop.22572        Google Scholar

30. Kara, M., "Closed-form expressions for the resonant frequency of rectangular microstrip antenna elements with thick substrates," Microw. Opt. Technol. Lett., Vol. 12, No. 3, 131-136, 1996.
doi:10.1002/(SICI)1098-2760(19960620)12:3<131::AID-MOP4>3.0.CO;2-I        Google Scholar

31. Verma, A. K. and Z. Rostamy, "Modified Wolf model for determination of resonance frequency of dielectric covered circular microstrip patch antenna," Electron. Lett., Vol. 27, No. 24, 2234-2236, 1991.
doi:10.1049/el:19911382        Google Scholar

32. Verma, A. K., "Resonant frequency of uncovered and covered rectangular microstrip patch using modified Wolff model," IEEE Trans. Microw. Theory Tech., Vol. 41, No. 1, 109-116, 1993.
doi:10.1109/22.210236        Google Scholar

33. Guney, K., "A new edge extention expression for the resonant frequency of rectangular microstrip antennas with thin and thick substrates," J. Commun. Tech. Electron., Vol. 49, 49-53, 2004.        Google Scholar

34. Sengupta, D. L., "Approximate expression for the resonant frequency of rectangular patch antenna," Electron. Lett., Vol. 19, 834-835, 1983.
doi:10.1049/el:19830568        Google Scholar

35. Lo, Y. T., D. Solomon, and W. F. Richards, "Theory and experiment on microstrip antennas," IEEE Trans. Antennas Propagat., Vol. 27, 137-145, 1979.
doi:10.1109/TAP.1979.1142057        Google Scholar

36. Chew, W. C. and Q. Liu, "Resonance frequency of a rectangular microstrip patch," IEEE Trans. Antennas Propagat., Vol. 36, 1045-1056, 1988.
doi:10.1109/8.7216        Google Scholar

37. Carver, K. R. and E. L. Coffey, Theoretical Investigation of the Microstrip Antenna, 1979.

38. Biswas, M. and A. Mandal, "Experimental and theoretical investigation of resonance and radiation characteristics of superstrate loaded rectangular patch antenna," Microw. Opt. Tech. Lett., Vol. 57, 791-799, 2014.        Google Scholar

39. Biswas, M. and A. Mandal, "Experimental and theoretical investigation to predict the effect of superstrate on the impedance, bandwidth, and gain characteristics for a rectangular patch antenna," Journal of Electromagnetic Waves and Applications, Vol. 29, No. 16, 2093-2109, 2015.
doi:10.1080/09205071.2015.1039072        Google Scholar

40. Abboud, F., J. P. Damiano, and A. Papiernik, "Simple model for the input impedance of coax-fed rectangular microstrip patch antenna for CAD," IEE Proc. Pt. H., Vol. 1, No. 35, 323-326, 1988.        Google Scholar

41. Long, S. A. and R. Garg, "Resonant frequency of electrically thick rectangular microstrip antenna," Electron. Lett., Vol. 23, No. 21, 1149-1151, 1987.
doi:10.1049/el:19870801        Google Scholar

42. Biswas, M. and S. Banik, "Characteristics of circular patch antenna with and without air gaps," Microw. Opt. Tech. Lett., Vol. 54, 1692-1699, 2012.
doi:10.1002/mop.26917        Google Scholar

43. Mesa, F., D. R. Jackson, and M. J. Freire, "Evolution of leaky modes on printed-circuit lines," IEEE Trans Microw. Theory Tech., Vol. 50, 94-104, 2002.
doi:10.1109/22.981253        Google Scholar

44. Nghiem, D., J. T. Williams, D. R. Jackson, and A. A. Oliner, "Existence of a leaky dominant mode on microstrip line with an isotropic substrate: Theory and measurements," IEEE Trans. Microwave Theory Tech., Vol. 44, 1710-1715, 1996.
doi:10.1109/22.538963        Google Scholar

45. Peixeiro, C. and A. M. Barbosa, "Leaky and surface waves in anisotropic printed antenna structures," IEEE Trans. Antennas Propagat., Vol. 40, 566-569, 1992.
doi:10.1109/8.142634        Google Scholar

46. Jackson, D. R. and A. A. Oliner, "A leaky-wave analysis of the high-gain printed antenna configuration," IEEE Trans. Antennas Propagat., Vol. 36, 905-910, 1988.
doi:10.1109/8.7194        Google Scholar