Far-field properties of nonparaxial electromagnetic cosh-Gaussian pulsed beams

By using the generalized Rayleigh-Sommerfeld diffraction integral, the analytical expression for the cross-spectral density matrix of nonparaxial spatially and spectrally partially coherent electromagnetic Cosh-Gaussian(ChG) pulsed beams propagating in free space was derived and used to formulate the spectral density (intensity) and spectral degree of polarization of electromagnetic pulsed beams. It is found that the parameters f and f play an important role in determining the nonparaxiality of spatially and spectrally partially coherent electromagnetic ChG pulsed beams in the far field, and the decentered parameter, pulse duration, and temporal coherence length affect the nonparaxial behavior. Far-field propagation of nonparaxial spatially and spectrally partially coherent electromagnetic Gaussian Schell-model pulsed beams can be treated as a special case of our results.