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Fourier single-pixel reconstruction of a complex amplitude optical field

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Abstract

Based on a Fourier single-pixel imaging (SPI) technique and interference between an unknown field and a reference beam, we implement amplitude and phase reconstruction of the unknown complex field. In this Letter, we use a chessboard pattern to divide the unknown field into the signal and reference parts. A high-speed digital micro-mirror device is used to modulate the relative phase between the reference and signal fields, and the SPI method is used to acquire the Fourier spectrum of the signal field. We experimentally reconstruct a 103×103-pixel complex amplitude field with a resolution of 68.4 μm. The single-pixel real-time wavefront detection is also implemented in the rate of four frames per second.

© 2019 Optical Society of America

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Supplementary Material (2)

NameDescription
Visualization 1       Real-time wavefront detection in the rate of four frames per second with a cut-off frequency of 17 (35×35-pixel). The amplitude is a star, and its phase is a rotating OAM superposition state with l1 = 0 and l2=3.
Visualization 2       Real-time wavefront detection in the rate of four frames per second with a cut-off frequency of 17 (35×35-pixel). The objects are lenses that are getting thicker and thicker.

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Equations (4)

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