Phase Matching in Harmonic Generation Employing Optical Rotatory Dispersion

It is shown that phase matching in harmonic generation may, in principle, be achieved in a nonlinear medium which has appropriate optical rotatory dispersion. The treatment follows the analysis of Franken and Ward whereby the resultant radiative output of a dipolar array generated by a laser beam is obtained. For specific cases without double refraction, the relative intensities of second- and third-harmonic radiation are calculated, new phase-matching conditions are derived, and the nature of harmonic radiation in the presence of optical rotation is examined.