In the present study, we introduce the fractional cross-spectral density (CSD), i.e., an idea of the FRT to the partially coherent optics. As an example, we theoretically analyze the CSD of the fractional optical field on a quasi-monochromatic Gaussian Schell-model (GSM) source.
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Hiroyuki Yoshimura, "Fractional cross-spectral density on a Gaussian Schell-model source," Proc. SPIE 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 27784V (1 September 1996);