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Propagation of a general incoherent Gaussian light beam in free space and through an optical system in paraxial approximation is considered. It is shown that such a beam is described using the same parameters as for a classical coherent Gaussian beam. Kogelnik's " A BCD" law is also true for a general Gaussian beam.
Won Don Joo
"General conception of a Gaussian light beam", Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27780Y (1 September 1996); https://doi.org/10.1117/12.2298916
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Won Don Joo, "General conception of a Gaussian light beam," Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27780Y (1 September 1996); https://doi.org/10.1117/12.2298916