Litvinova E. Mathematical modeling of physical processes in the laser fire detectors

The thesis is devoted to solving the important scientific task of mathematical modeling of physical processes in the laser fire detectors (LFD) that allows to investigate ways to improve the LFD. Mathematical models of LFDs were developed. These include LFD based on analysis of intensity fluctuations (LFD-AIF) and LFD based on analysis of local minimum fluctuations (LFD-AALMF) that contain partial models of physical processes. By considering a single TRR aperture restrictions and the state of polarization of the incident radiation the method of mathematical modeling of the transformation of the field amplitude-phase distribution during its reflection from the TRR was improved. Taking into account the polarization state of incident radiation, a method of mathematical modeling of the transformation of the field distribution at its reflection from TRRS was improved. TA model based on the phase screen method was developed. The phase screen in the form of two-dimensional random field is simulated using the method of shaping filter. A criterion for evaluating the performance of the LFD-AALMF based on the probability of detection of ignition was developed. All models are implemented as computer programs that allow to explore the work of LFD-AIF and LFD-AALMF and compare their effectiveness. The adequacy of the models is confirmed by laboratory simulation.