Ray-tracing analysis of pumping reflectors for slab lasers. 1: Standard involute reflectors

We present the results of a ray-tracing analysis of standard involute-type reflector profiles by using a Monte Carlo simulation. The simulation shows why this profile, which is perfect in principle, gives a nonuniform slab illumination if the reflector surface reflectivity is infinite or the emission from the generating circle of the involute is not Lambertian. The reflector has, however, a 100% geometrical transfer efficiency. Deviations from ideal behavior, resulting from absorption losses and the presence of refracting surfaces, are examined separately.