Published in

American Physical Society, Physical Review A, 4(90)

DOI: 10.1103/physreva.90.043827

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Talbot self-imaging inPT-symmetric complex crystals

Journal article published in 2014 by Stefano Longhi ORCID
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Data provided by SHERPA/RoMEO

Abstract

The Talbot effect, i.e., the self-imaging property of a periodic wave in near-field diffraction, is a remarkable interference phenomenon in paraxial systems with continuous translational invariance. In crystals, i.e., systems with discrete translational invariance, self-imaging has been regarded so far as a rare effect, restricted to special sets of initial field distributions. Here it is shown that in a class of gapless PT -symmetric complex crystals at the symmetry-breaking threshold Talbot revivals can arise for almost any initial periodic wave distribution which is commensurate with the lattice period. A possible experimental realization of commensurate Talbot self-imaging for light pulses in complex “temporal” crystals, realized in an optical dispersive fiber loop with amplitude and phase modulators, is briefly discussed.