Equivalent circuit model of coaxial probe-fed quasi-lumped element resonator antenna

Seyi Stephen Olokede

doi:10.3103/S0735272719080041

Authors

Seyi Stephen Olokede Papua New Guinea University of Technology, Papua New Guinea https://orcid.org/0000-0002-5119-2618

DOI:

https://doi.org/10.3103/S0735272719080041

Keywords:

analytical method, equivalent circuit, quasi-lumped element antenna, numerical formula, small size

Abstract

Equivalent circuit model of a coaxial probe-fed quasi-lumped element resonator antenna is proposed. The proposed resonator is a periodic interdigital lumped element structure whose resonance does not depend on the electrical length but instead on some intrinsic circuit components, with attendant small size as a premium. The derived equivalent circuit components are extracted using the Agilent Advance Design System (ADS) software. The equivalent circuit model of the coaxial-feed probe is derived based on the simplest uniform-current model of a coaxial probe based on assumption that 1) all the higher-order evanescent have been included analytically in the parasitic circuit elements, and 2) only the propagating modes needs to be considered. The entire structure is further investigated using numerical EM solver such as finite integration technique (FIT) method in order to further compare the level of agreement. The derived equivalent circuit model has been validated by analytical formulae, numerical simulations, and measurement-based method.

References

AIN, M.F.; OLOKEDE, S.S.; QASAYMEH, Y.M.; MARZUKI, A.; MOHAMMED, J.J.; SREEKANTAN, S.; HUTAGALUNG, S.D.; AHMAD, Z.A.; ABDULLA, M.Z. “A novel 5.8 GHz quasi-lumped element resonator antenna,” AEU - Int. J. Electron. Commun., v.67, n.7, p.557, 2013. DOI: https://doi.org/10.1016/j.aeue.2012.12.008.

BAHL, I.J. Lumped Elements for RF and Microwave Circuits. Artech House, 2003.

BAHL, I.J.; BHARTIA, P. Microwave Solid State Circuit Design, 2nd ed. New York: John Wiley, 2003.

ALLEY, G.D. “Interdigital capacitors and their application to lumped-element microwave integrated circuits,” IEEE Trans. Microwave Theory Tech., v.18, n.12, p.1028, Dec. 1970. DOI: https://doi.org/10.1109/tmtt.1970.1127407.

HOBDELL, J.L. “Optimization of interdigital capacitors,” IEEE Trans. Microwave Theory Tech., v.27, n.9, p.788, Sept. 1979. DOI: https://doi.org/10.1109/tmtt.1979.1129730.

JOSHI, J.S.; COCKRILL, J.R.; TURNER, J.A. “Monolithic microwave gallium arsenide FET oscillators,” IEEE Trans. Electron Devices, v.28, n.2, p.158, Feb. 1981. DOI: https://doi.org/10.1109/t-ed.1981.20303.

PETTENPAUL, E.; KAPUSTA, H.; WEISGERBER, A.; MAMPE, H.; LUGINSLAND, J.; WOLFF, I. “CAD models of lumped elements on GaAs up to 18 GHz,” IEEE Trans. Microwave Theory Tech., v.36, n.2, p.294, Feb. 1998. DOI: https://doi.org/10.1109/22.3518.

GUPTA, K.C. Microstrip Lines and Slotlines, 2nd ed. Norwood, MA: Artech House, 1996, Ch. 8.

ESFANDIARI, R.; MAKI, D.W.; SIRACUSA, M. “Design of interdigitated capacitors and their application to gallium arsenide monolithic filters,” IEEE Trans. Microwave Theory Tech., v.31, n.1, p.57, Jan. 1983. DOI: https://doi.org/10.1109/tmtt.1983.1131429.

SADHIR, V.K.; BAHL, I.J.; WILLEMS, D.A. “Cad compatible accurate models of microwave passive lumped elements for MMIC applications,” Int. J. Microwave Millimeter Wave Computer Aided Engineering, v.4, n.2, p.148, Apr. 1994. DOI: https://doi.org/10.1002/mmce.4570040206.

BAHL, I.J.; BHARTIA, P. Microwave Solid State Circuit Design. New York: John Wiley, 1988, Ch. 2.

HU, Y.; ZHANG, Y.J.; FAN, J. “Equivalent circuit model of coaxial probes for patch antennas,” PIER B, v.38, p.281, 2012. DOI: https://doi.org/10.2528/pierb11121210.

OLOKEDE, Seyi Stephen. “A quasi-lumped element series array resonator antenna,” Radioengineering, v.24, n.3, p.695, 2015. DOI: https://doi.org/10.13164/re.2015.0695.

DAVIDOVITZ, M.; LO, Yuen. “Input impedance of a probe-fed circular microstrip antenna with thick substrate,” IEEE Trans. Antennas Propag., v.34, n.7, p.905, 1986. DOI: https://doi.org/10.1109/tap.1986.1143911.