Vol. 99

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2020-12-14

Li's Formula Extended to Determine Accurate Resonant Frequency of a Rectangular Patch Antenna in Multi-Dielectric Layers

By Manotosh Biswas, Sourav Banik, and Mihir Dam
Progress In Electromagnetics Research M, Vol. 99, 177-189, 2021
doi:10.2528/PIERM20082901

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
http://www.jpier.org/PIERM/pier.php?paper=20082901

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

    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.

    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

    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

    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

    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.

    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

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

    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.

    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.

    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.

    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

    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

    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

    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

    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

    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

    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.

    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

    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

    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

    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

    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

    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

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

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

    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

    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

    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

    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

    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.

    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

    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

    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

    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.

    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

    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.

    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

    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

    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

    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

    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

    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