Characteristics of optical second-harmonic generation due to Čerenkov-radiation-type phase matching

Abstract
Čerenkov-radiation-type optical second-harmonic generation is analyzed by using the Green function of the Helmholtz equation, including the nonlinear-polarization term. The numerical results agree well with those of previously reported experiments. A formulation is given that provides a means of designing frequency doublers, which make use of channel waveguides and optical fibers.