CALCULATION OF HIGHER-ORDER WAVE-MIXING SPECTRA

Using diagrammatic perturbation theory, we calculate the higher-order susceptibility for the n-wave process, ω0 = (n/2 − 1)(ω1 − ω2) + ω1, in a phase-matched n-wave-mixing geometry. We include the 16 Zeeman and hyperfine levels of the sodium ground (3S1/2) and excited (3P1/2) states, finding resonances at subharmonics [±1/2, ±1/3,…, ±1(n/2 − 1)] of the ground-level transition frequencies. The computed spectrum for eight-wave mixing is in satisfactory agreement with experiment. In addition, a theoretical twelve-wave-mixing spectrum predicts a new higher-order selection rule. © 1990 Optical Society of America.