From harmonic to pulsating periodic solutions in intracavity second harmonic generation

Abstract

We consider the problem of Second Harmonic Generation (SHG) inside a resonant cavity, pumped by an external laser. The elementary process that takes place in SHG is the absorption of 2 photons of frequency ω and the emission of one photon at frequency 2ω. Drummond et al[1] have shown that this problem can be modeled by two ordinary differential equations for the (complex) amplitudes of the electrical fields: where overbar means complex conjugate.