Control of third-harmonic generation in hollow optical fibers due to cross-phase modulation

The influence of self-and cross-phase modulation on third- harmonic generation in a hollow fiber is investigated. Analytic solutions to the coupled equations for slowly varying envelopes of the pumping pulse and the third harmonic in a gas-filled hollow fiber are derived with allowance for self- and cross-phase modulation and first- order dispersion. The possibility to control the nonlinear phase shift of the third harmonic due to cross-phase modulation is demonstrated.