Purpose -Showing both theoretically and experimentally that the Newton-Raphson algorithm is a very efficient tool for computing the transfer factor characteristic of AM detectors. Design/methodology/approach -An equation which describes the diode and transistor AM detectors has been investigated. Using elementary techniques of mathematical analysis, some theoretical properties of the equation have been formulated and convergence of the Newton-Raphson algorithm has been proved. Findings -It is shown that the Newton-Raphson algorithm is an efficient tool for tracing the transfer factor characteristics of both diode and transistor AM detector. The convergence of this algorithm is proved and a comparison with SPICE simulation is made. Furthermore, the diode and transistor AM detectors have been built up and validating measurements have been carried out. The comparison shows that the algorithm proposed in the paper computes the characteristics fast achieving good accuracy.Research limitations/implications -The results obtained are limited to those described in the paper diode and transistor AM detectors. Originality/value -Some properties of the nonlinear equation describing the AM detectors are formulated and convergence of the Newton-Raphson algorithm to a unique solution is proved.