This paper focuses on the analysis technique of gyrotropic circular cylindrical semiconductor waveguide by the use of an electrodynamical model. Authors propose the semi-automatic extraction of the dispersion characteristics by the use of single-layer perceptron neural network. The waveguide analysis algorithm consists of four main stages: initialization of system parameters, evaluation of transcendental linear dispersion equation system, extraction of dispersion characteristics and evaluation of the waveguide broad bandwidth. In this paper three types of waveguides (n-InP, n-InSb and p-InP) are analysed using a proposed algorithm. According to the results of analysis, the use of gyrotropic n-InP and p-InP semiconductor, semiconductor-dielectric waveguides are more preferred than to n-InSb waveguides due to their wider broad bandwidth.