A diode-pumped laser amplifier model is derived from first principles
and applied to a Nd:YAG amplifier operating on the 4F
3/2 to 4I
9/2 transition at
0.946 μm.
The effects of amplified spontaneous emission are included in the model and the
addition of this effect is shown to produce better agreement with the data. The
amplifier model includes effects of the transverse and longitudinal variation of the
pump beam, transverse and longitudinal variation of the probe beam, and
multiple passes of the probe beam. Experimental results obtained with a
quasi four-level Nd:YAG amplifier operating at 0.946 μm
are used to validate the model. The amplifier was evaluated as a function of the
pump energy, the probe energy, the probe beam radius, the pulse repetition
frequency and the temperature. For all of the experimental conditions, the
experimental results and the model agree.