  In this paper, from a new perspective of the time (pump time, relaxation
time, and stimulated emission time) of the cycle for the active particles at
each energy level, the concept of the number of iterative pumping of the laser
medium is introduced, and the equivalent model of the laser when it emits light
in a steady state is established. By deriving the number of times that the
laser medium is repeatedly pumped in the light exit area when the light is
emitted, the analytical expression of the laser output power is deduced, and
the law of the laser output power changing with the laser parameters is
obtained. By fitting and comparing with the experimental results, the new model
and the experimental results are in good agreement, the related parameters
obtained are also very consistent with the literature, and the changes of
multiple parameters and temperature are obtained. These results, especially the
expression for the analysis of the laser output power pave a new way for the
research and design of optical pumped lasers.
