Quantum theory of second harmonic generation

Surya P. Tewari, S.P. Tewari

Miguel Orszag, Patrick Carrazana, H. Chuaqui

A quantum theory of second-harmonic generation is presented in which use is made of the formal equivalence that exists between, on the one hand, the emission of a system of N two-level atoms that interact via the electromagnetic field and, on the other, the generation of second harmonics. The N -atom system is described in terms of the Dicke model, but in the so-called ‘restricted rotating-wave approximation’. An analytical, closed-form expression is found for the number of second-harmonic photons as a function of time. Also, a comparison with the semiclassical theory and with experiments is given.

Giovanni Chesi

Daniel F. Walls, C. T. Tindle

Ying Wu, Xiaoxue Yang

We present a quantum theory to derive the analytical expression of microcavity enhancement for second harmonic generation. The expression explicitly gives the dependence of the enhancement on detunings and the Purcell factor of the relevant microcavity mode, and it is suitable for microcavities with any dimensions and arbitrary geometric shapes. The result for a one-dimensional microcavity agrees well with a recent microcavity-enhanced second harmonic generation experiment by Cao et al (2000 Appl. Phys. Lett. 76 538).

Daniel F. Walls