Hermite-Gaussian correlated Schell-model pulsed beam

Abstract

Enlighted by the partially coherent beam with nonconventional correlation functions in spatial domain, we introduced a new model of partially coherent light pulse called a Hermite-Gaussian correlated Schell-model (HGCSM) pulse in temporal domain. The analytical expression of the mutual coherence function of the HGCSM pulse propagating in a second-order dispersive media has been derived. The statistical properties, such as the intensity distribution and the temporal degree of coherence the spectral degree of coherence of a HGCSM pulse in dispersive media are illustrated numerically. It is demonstrated that the velocity of beam splitting can be manipulated by controlling the incident pulse duration, the initial temporal coherence length, the beam order m and the dispersion of the medium. It is also shown that the oscillations in the temporal degree of coherence profiles gradually intensify with increasing pulse duration of the incident pulse and beam order. With increasing second-order dispersion coefficient β2 and temporal coherence length of the incident pulse, the profiles of the temporal degree of coherence move towards the large value.