The Theory of Uniform Cables-Part I: Calculation of Propagation Parameters

An algorithm for computing the electromagnetic propagation modes and their associated propagation constants (i.e., the loss and phase shift per length) is rigorously developed for uniform cables. The conductors (including the shield, if present) are assumed to have circular cross sections and to be covered by two layers of dielectric insulation. By means of the algorithm, it is now possible to compute the propagation parameters of uniform cables for all frequencies below the microwave range. The algorithm consists of calculating the eigenvectors and eigenvalues of a certain matrix, which are the set of conductor voltages of the modes and the associated propagation constants, respectively. The matrix in question is computed by methods developed in a companion paper on charge densities.