We first finalized the laser lecture introducing mode locking for pulsed laser generation, active and passive methods, gain and losses compensation.
Starting from Maxwell equation in presence of a dielectric, non magnetic we re-derived the differential equation for the pulse envelope in presence of linear polarization in a slightly different way.
We then extended to a non linear term, considering the specific case of second order. The most general case is here a three waves mixing, approximating one beam (the pump) much more intense then the others, the signal (initially weak) and the idler (initially empty). We derived the gain expression in the case of perfect phase matching.
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