AbstractThe impedance for a monopole antenna in a warm plasma is derived and compared with the cases for wire dipole and double‐sphere antennas. This derivation produces a new expression for the monopole antenna response function, Fm1(x), which is very similar to the double‐sphere antenna response function. The monopole, wire dipole, and double‐sphere response functions are compared by modeling an antenna in Earth's ionospheric plasma (i.e., electrostatic and collisionless) and predicting the antenna capacitance and voltage power spectra for quasi‐thermal noise (QTN) and shot noise. Specifically, we assume the antennas are part of a CubeSat, which has spurred this research as most interplanetary craft carry a dipole or more complicated antenna designs on board (Imbriale, 2006, https://doi.org/10.1002/0470052783.ch3; Imbriale, Gatti et al., 2006, https://doi.org/10.1002/0470052783.ch5). The monopole antenna current distribution is assumed to be a half‐triangular current distribution (considering only the positive half of the triangular distribution), which follows that of prior authors (Balmain, 1965, https://doi.org/10.6028/jres.069D.065; Kuehl, 1966, https://doi.org/10.1002/rds196618971; Couturier et al., 1981, https://doi.org/10.1029/JA086iA13p11127) and simplifies comparison. The predictions for the shot noise and capacitance presented problems, as the integral over wave number space or k space did not converge for large values of k. The derived expression therefore remains a current problem in these situations, and no alternative has been found in the existing literature, necessitating future work to determine a more general expression. In this paper we bring the problem of an appropriate analytic monopole antenna response function to the attention of the community and outline a number of tests that can be used to verify any future expression.
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