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Talbot carpet at the transverse plane produced in the diffraction of plane wave from amplitude radial gratings

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Abstract

We experimentally demonstrate and theoretically predict a new and unprecedented optical carpet that includes all the geometric shadow and far-field and near-field diffraction patterns at the transverse plane in the diffraction from a radial grating illuminated by a plane wavefront. The main feature of using radial grating is the continuous change of the spatial period along the radial direction. Therefore, the geometric shadow, and the near-field and far-field diffraction regimes are mixed at various propagation distances, and the traditional definitions for the different diffraction regimes would not apply here. We show that for a given propagation distance, at a certain radial distance the shadow regime changes to the near-field regime and at another certain radial distance, the diffraction pattern changes from a near-field to a far-field case.

© 2017 Optical Society of America

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Supplementary Material (3)

NameDescription
Visualization 1       The movie presents transverse plane Talbot carpet of a sinusoidal amplitude radial grating at different propagation distances and corresponding intensity profiles along azimuthal and radial directions.
Visualization 2       The movie presents transverse plane Talbot carpet of a sinusoidal amplitude radial grating at different propagation distances.
Visualization 3       The movie presents transverse plane Talbot carpet of a binary amplitude radial grating at different propagation distances.

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Equations (27)

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