This work reports the numerical modeling design procedure for a miniaturized laser spark plug. In previous work both side pumped and end pumped laser spark plugs were empirically designed and tested. Experimental data from the previous laser spark plug development cycles is compared to the output predicted by a known set of rate equations. The rate equations are used to develop interrelated inter cavity time dependent waveforms that are then used to identify key variables. These variables are then input to a set of secondary equations for determining the output pulse energy, output power, and output pulse width of the simulated laser system. The physical meaning and the operation of the rate equations is explained in detail. This paper concentrates on the process and decision points needed to successfully design a solid state passively Q-switched laser system, either side pumped or end pumped, that produces the appropriate output needed for use as a laser spark plug for internal combustion engines.

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