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25 June 2015 Eight-connected contour method for accurate position detection of optical vortices using Shack–Hartmann wavefront sensor
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Abstract
We propose a simple method of realizing an accurate position detection of phase singularities in an optical vortex (OV) beam using a Shack–Hartmann wavefront sensor (SH-WFS). The method calculates circulations which are the discrete contour integrals of phase slope vectors measured by the SH-WFS and then determines the accurate positions of the singular points by calculating the centers-of-gravity with a fixed window size around the local peak of the circulation distribution. We use closed paths that connect the centers of eight-connected, instead of 2×2-neighboring lenslet apertures for calculating the circulations. Both the numerical analysis and proof-of-principle experiment were performed to confirm the measurement accuracy. In experiments, the positions of singular points in OV beams generated by a liquid-crystal-on-silicon spatial light modulator were measured. The root-mean-square error of the position measurement was approximately 0.09 in units of the lens size of the lenslet array used in the SH-WFS. We also estimated the topological charges of the singular points being detected based on the peak circulations, and the results agreed well with theoretical ones. The method achieves both rapid implementation and sublens-size spatial resolution detection and is suitable for applications that require real-time control of OV beams.
CC BY: © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.
Hongxin Huang, Jia Luo, Yoshinori Matsui, Haruyoshi Toyoda, and Takashi Inoue "Eight-connected contour method for accurate position detection of optical vortices using Shack–Hartmann wavefront sensor," Optical Engineering 54(11), 111302 (25 June 2015). https://doi.org/10.1117/1.OE.54.11.111302
Published: 25 June 2015
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CITATIONS
Cited by 6 scholarly publications.
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KEYWORDS
Spiral phase plates

Phase measurement

Optical vortices

Wavefront sensors

Optical engineering

Spatial resolution

Beam splitters

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