ANALYSIS OF THREE CONDUCTOR COAXIAL SYSTEMS.

A theoretical analysis is presented of a system consisting of three coaxial conductors of a certain length terminating in concentrated elements. This is a configuration which is applied in coaxial shunts. Starting with Maxwell's equations, expressions are derived, describing the field intensities in the conductors and in the intermediate dielectrics. The four quasi TEM propagation modes, inherent in three parallel conductors, are derived from the characteristic determinant of the system and are used to obtain general expressions for the currents and the voltages in the system. After the introduction of the terminal conditions in conformity with the use of the system as a coaxial shunt, the eigenvalue H( omega ) of the two-port concerned is determined. The inverse Fourier transform then leads to the impulse response of the two-port from which the step response is derived by integration. Computational results are given of the transfer impedance and the responses in the time domain.