Abstract

We demonstrate, both theoretically and numerically, the efficient trajectory manipulation of the Airy–Talbot effect in dynamic linear potentials. Exact solutions of this accelerating self-imaging phenomenon, designed by adding shifted copies of the fundamental accelerating beam with arbitrary coefficients, are derived. It is shown that the Airy–Talbot effect can follow a predefined trajectory by engineering the index gradient, while its Talbot length is the same as that in free space. The generalization to a higher dimension is also discussed.

© 2018 Optical Society of America

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