Talbot self-imaging in PT-symmetric complex crystals

摘要

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