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Trajectory manipulation of Talbot images via dynamic linear index potentials

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Abstract

The efficient manipulation of the Talbot effect by exploiting dynamic linear index potentials is demonstrated theoretically and numerically. The exact recurrent solutions of two kinds of incident periodic patterns are found. In each case, if the dynamic linear potentials are appropriately designed, the intensity pattern can have a recurrent self-imaging of the incident field along a predefined trajectory. Both the Talbot revivals and fractional Talbot revivals can occur at rational Talbot lengths, except for a lateral shift, resulting from the predefined trajectory. These results can be readily extended to two dimensions by treating them as a product of two independent one-dimensional cases. Theoretical expectations are validated via numerical simulations.

© 2020 Optical Society of America

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