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Topological spatial differentiation via complex amplitude filtering in Fourier space

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Abstract

Various approaches to implementing optical analog differentiation have been studied extensively and applied in edge-based image processing. Here, we report a topological optical differentiation scheme based on complex amplitude filtering, i.e., amplitude and spiral phase modulation in Fourier space. The isotropic and anisotropic multiple-order differentiation operations are demonstrated both theoretically and experimentally. Meanwhile, we also achieve multiline edge detection corresponding to the differential order for the amplitude and phase objects. This proof-of-principle work could open up new avenues for engineering a nanophotonic differentiator and realizing a more compact image-processing system.

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Supplementary Material (1)

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Supplement 1       Supplemental Document

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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