Mathematical model of laser generation on the basis of Markov processes theory

The discrete nature of active media atoms, laser light photons and their Poisson distribution law allow us to apply correctly Markov processes theory with discrete states and continuous time to the description of laser generation process. The equations of photons quantity in laser resonator and population inversion are deduced. The results coincide with known equations. Equations of photons quantity dispersion and population inversion dispersion are deduced also. The analysis of these equations permits us to explain the operation of spiking pulsed multimode lasers.