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Talbot effect of azimuthally periodic Bessel-based structures

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Abstract

In this work, the theory of self-imaging in the polar coordinates for azimuthally periodic Bessel-based structures (APBBSs) is presented. For the first time, to the best of our knowledge, we define single- and multi-frequency APBBSs and show that these structures have self-images under plane-wave illumination. We also define sinusoidal and binary-like single-frequency APBBSs and theoretically and experimentally investigate the near-field diffraction of these structures. The diffraction from these structures provides 2D arrays of optical traps that can be used in multi-trapping.

© 2019 Optical Society of America

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Supplementary Material (4)

NameDescription
Visualization 1       Calculated near-field diffraction patterns of a plane wave from a sinusoidal single-frequency APBBS with m = 5 and r_0 = 1 mm under propagation from z = 0 to z = z_t.
Visualization 2       Calculated near-field diffraction patterns of a plane wave from a binary-like single-frequency APBBS with m = 5 and r_0 = 1 mm under propagation from z = 0 to z = z_t.
Visualization 3       Calculated near-field diffraction patterns of a plane wave from a first type (with natural l indices) binary-like multi-frequency APBBS with m = 5 and r_0 = 1 mm under propagation from z = 0 to z_t.
Visualization 4       Calculated near-field diffraction patterns of a plane wave from a second type (with odd l indices) binary-like multi-frequency APBBS with m = 5 and r_0 = 1 mm under propagation from z = 0 to z_t.

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Equations (25)

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