Consider a saturable absorber located at the end of a laser cavity whose transmission function is given by:
T=exp (-a*d)
where d is the thickness of the saturable absorber, and a is the absorption coefficient given by:
a=a0/(1+(I/Isat))
where Isat is the saturation intensity.
Generate a starting optical pulse within the laser cavity to represent photon noise within the cavity by using a random number generator in the range of [0,1] representing the intensity of 100 points within one round trip. Taking a0=20 cm-1 and d=0.1 cm,calculate the intensity distribution in the laser after 100,1000 and 10000 transits. After each transit, renormalize the peak intensity point to I=Isat. Repeat five times for five different random starting distributions and give plots of input and output distributions for each of your five runs at the three different output times.

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