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Proceedings Paper

Fractional cross-spectral density on a Gaussian Schell-model source
Author(s): Hiroyuki Yoshimura
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Paper 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.

Paper Details

Date Published: 1 September 1996
PDF: 2 pages
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
Show Author Affiliations
Hiroyuki Yoshimura, Hokkaido Univ. (Japan)


Published in SPIE Proceedings Vol. 2778:
17th Congress of the International Commission for Optics: Optics for Science and New Technology
Joon-Sung Chang; Jai-Hyung Lee; ChangHee Nam, Editor(s)

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