Transverse and longitudinal phase-matching in third harmonic generation induced by the Bessel beams

Influence of transverse and longitudinal phase matching on the spectral and intensity properties of third harmonic generation induced by the Bessel pump beams has been investigated both theoretically and experimentally. Transverse phase matching, revealing itself as a ring pattern in the third harmonic intensity angular spectrum was demonstrated in both the normally and anomalously dispersive media. The conditions were found for the optimization of this conical third harmonic signal.

Research highlights
► Third harmonic generation induced by Bessel beam in sodium vapor was investigated.
► The influence of longitudinal and transverse phase matching was analyzed.
► Third hacrmonic generation was demonstrated in the normally dispersive medium.
► A good agreement between the theoretical and experimental data has been obtained.