Detection of optical vortex using the fractional Fourier system

Wei Yan; Xiaojun Xu

doi:10.1117/12.2532527

17 May 2019 Detection of optical vortex using the fractional Fourier system

Wei Yan, Xiaojun Xu

Proceedings Volume 11170, 14th National Conference on Laser Technology and Optoelectronics (LTO 2019); 111700T (2019) https://doi.org/10.1117/12.2532527
Event: Fourteenth National Conference on Laser Technology and Optoelectronics, 2019, Shanghai, China

Abstract

The optical vortex (OV) is one type of optical singularity which has a spiral wavefront around a point where the intensity of light is zero and phase is undefined. Exact determination of the OV properties, involving location and sign, are very significant. In this paper, a novel OV detection method using the fractional Fourier system is presented. The fractional Fourier system is employed to provide high-sampling density phase gradient data. The closed form formula for the Hertz potential in terms of phase gradient measurement is given. It is shown that the presence of optical vortices could be visualized as the peaks and valleys of the Hertz potential where peaks correspond to the positive optical vortices and valleys correspond to the negative ones. Therefore it allows the determination of the OV location and sign in a very straightforward way. The validity and reliability are demonstrated through several numerical examples including noisy signals with different signal-to-noise ratio (SNR) levels. The outstanding merits possessed by the proposed technique are its low experiment effort and high detection precision.

Citation Download Citation

Wei Yan and Xiaojun Xu "Detection of optical vortex using the fractional Fourier system", Proc. SPIE 11170, 14th National Conference on Laser Technology and Optoelectronics (LTO 2019), 111700T (17 May 2019); https://doi.org/10.1117/12.2532527

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