Fractional Fourier transform for incoherent one-dimensional off-axis Gaussian beams

chen senhui; zhang tingrong

Volume 21 Issue 02

Feb. 2009

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chen senhui, zhang tingrong. Fractional Fourier transform for incoherent one-dimensional off-axis Gaussian beams[J]. High Power Laser and Particle Beams, 2009, 21.

Citation:

chen senhui, zhang tingrong. Fractional Fourier transform for incoherent one-dimensional off-axis Gaussian beams[J]. High Power Laser and Particle Beams, 2009, 21.

chen senhui, zhang tingrong. Fractional Fourier transform for incoherent one-dimensional off-axis Gaussian beams[J]. High Power Laser and Particle Beams, 2009, 21.

Citation:

chen senhui, zhang tingrong. Fractional Fourier transform for incoherent one-dimensional off-axis Gaussian beams[J]. High Power Laser and Particle Beams, 2009, 21.

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Fractional Fourier transform for incoherent one-dimensional off-axis Gaussian beams

1.
College of Physics and Electronics Engineering,Sichuan Normal University,Chendu 610068,China

Publish Date: 2009-02-15

Abstract

Abstract

Based on the Collins formula, the transformation properties of incoherent one-dimensional off-axis Gaussian beams passing through the fractional Fourier transform(FRFT) system were studied. The analytical expressions for the intensity distribution of this beam were derived. By using the derived expressions, some numerical calculation examples were presented to illustrate the intensity properties on the FRFT plane. It is shown that the intensity distribution on the FRFT plane depend on FRFT order and sub-beams number. The variation of intensity distribution with FRFT order is periodic, and the period is 2. When the FRFT order is even, the number of sub-beam has a great effect on the normalized intensity distribution and the effect decreases with the order in crease; when the FRFT order incr
- fractional fourier transform,
- one-dimensional off-axis gaussian beams,
- collins integral formula,
- flat-topped gaussian beam

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