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The Driving Point Impedance and Admittance of Thin, PEC Loops and Rings

  • Arnold McKinleyEmail author
Chapter
Part of the Signals and Communication Technology book series (SCT)

Abstract

The driving point on the loop circumference is characterized by a broadband delta-function voltage source generator placed across an infinitesimal gap. This causes some divergence difficulties in the resulting Fourier series description of the current. Nevertheless, the Storer-Wu method generates a reasonably accurate modal function for the input impedance at the gap. From this function are derived all of the modal resonances, the fundamental loop resonances and the anti-resonances. The modal impedances have nearly the same form as series resonant circuits, and this insight is exploited to identify a circuit model for the loop where each mode is represented by an RLC circuit and the entire loop is represented by a combination of this infinite set of RLCs. This section also discusses the difficulties with this model while the rest of the volume relies on its accuracy. The chapter ends with a look at the sub-wavelength anti-resonance.

References

  1. 1.
    K. Esselle, S. Stuchly, IEEE Trans. Antennas Propag. 38(7), 1123 (1990),  https://doi.org/10.1109/8.55629
  2. 2.
    A.F. McKinley, T.P. White, I.S. Maksymov, K.R. Catchpole, J. Appl. Phys. 112(9), 094911 (2012),  https://doi.org/10.1063/1.4764104, http://link.aip.org/link/?JAP/112/094911/1

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.University College LondonLondonUK

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