Abstract
We have derived an integral equation for the current in a loop antenna with a finite gap. We consider the cases of excitation of the loop antenna by an a.c. voltage applied to the gap and by the electromagnetic field of a plane wave. We have obtained the solution of the integral equation for excitation of a loop antenna by an a.c. voltage. We present a formula for the input admittance of a loop antenna that is valid at high frequencies.
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References
V. A. Tishchenko, V. I. Tokatly, and V. I. Luk'yanov, Izmer. Tekh., No. 5, 56 (2001).
V. V. Nikol'skii, Electromagnetic Field Theory [in Russian], Vysshaya Shkola, Moscow (1964).
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I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow (1962).
N. N. Lebedev, Special Functions and Their Applications [in Russian], Fizmatgiz, Moscow/Leningrad (1963).
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Tishchenko, V.A., Tokatly, V.I. & Luk'yanov, V.I. Theoretical Principles for a High-Frequency Magnetic Field Reference Standard Based on a Loop Antenna. Part II. Measurement Techniques 44, 636–644 (2001). https://doi.org/10.1023/A:1012383716897
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DOI: https://doi.org/10.1023/A:1012383716897