In this thesis a mathematical analysis is made of the input impedance to a cylinder antenna with an axial slot. It is excited by a parallel-wire line connected across the center of the slot. This causes standing waves along the slot. The analysis is then based on an analogy between the slot and a transmission line. Following this analogy equations for the transmission-line parameters are developed for the slotted cylinder. The slot distributed inductance and capacitance are determined by assuming an infinite slot length, while the conductance is obtained for a finite slot. The phase constant, which is contained in the expressions for the line parameters, is a function of the line parameters. Thus, a final answer requires the solution of simultaneous equations. This is done on a digital computer. This analysis applies to the case where the wavelength of excitation is of the same order of magnitude as the diameter of the cylinder. Possible frequencies for which this antenna might be used are in the microwave range. / Master of Science