1 September 1996 Fractional cross-spectral density on a Gaussian Schell-model source
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Proceedings Volume 2778, 17th Congress of the International Commission for Optics: Optics for Science and New Technology; 27784V (1996) https://doi.org/10.1117/12.2299058
Event: 17th Congress of the International Commission for Optics: Optics for Science and New Technology, 1996, Taejon, Korea, Republic of
Abstract
Recently, an optical fractional Fourier transform (FRT) has been expected to apply to optical information processing. The FRT was first introduced by Namias in order to solve the harmonic-oscillator physical problem in quantum mechanics in 1980[1]. McBride and Kerr improved the Namias's definition in 1987[2]. In 1993, Ozaktas and Mendlovic introduced the optical FRT as the self-modes of a quadratic graded-index medium[3]. Moreover, Lohmann pointed out that the FRT can be defined by an idea of the rotation of the Wigner distribution function (WDF)[4].

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, 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); doi: 10.1117/12.2299058; https://doi.org/10.1117/12.2299058
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