Abstract
According to the partially coherent theory for non-stationary optical fields, we introduce a novel model of partially coherent pulse sources, of which the TDOC is limited by Fractional Multi-Gaussian correlated Schell-model (FMGCSM) function. The analytical formula for the temporally mutual coherence function (TMCF) of a FMGCSM pulse beam on propagation in the presence of dispersive media is derived. The average intensity and the temporal degree of coherence (TDOC) of the FMGCSM pulse beam spreading through dispersive media are illustrated numerically. It can be seen that the pulse beam will form strongly sharp pulse intensity pattern when it propagates into far field. Moreover, the FMGCSM pulse beam propagating in dispersive media with chirp coefficient of s<0 will exhibit self-focusing effect and the focal position is controllable via the change of the source parameters. The far-field properties of the pulse beam may be useful for pulse laser shaping and material surface processing.
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