A mathematical model for scanning an arbitrary resonant contour by continuous wave three-frequency laser radiation

A mathematical model for scanning an arbitrary optical fiber resonance structure with an ultra-narrow spectral shape by a continuous wave three-frequency asymmetric by amplitude signal is proposed. It is shown that the three-frequency asymmetric scanning method has significant advantages over the methods of symmetric poly-harmonic scanning with suppressed carrier. In addition, the proposed method allowing study the spectral characteristics of ultra-narrow resonant circuits, since the method involves measuring beats at the difference frequencies of the initial three-frequency radiation, which can be of the order of several tens of megahertz.