In this report we demonstrate the influence of the photon density on the operation of a three modes random laser when the gain coefficients of modes depending on time. Supposing gain coefficients had Gaussian profile and using Matlab language, we have solved the basic equations describing the operation of the three modes random laser. The received results give us more real knowledge about the appearance of modes in random laser.
In many solid-state laser pumped by flash lamps, thermal source distributed in laser rod is heterogeneous, complicated and cannot be described by explicit functions. Pumping process can be considered an adiabatic process. Thermal gradient generated within the laser rod is the result of the inhomogeneous distribution of absorbed energy. Calculation model and numerical method can help to determine the relation between the experimental values and thermal energy generated in laser rod.
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