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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi>T</mml:mi></mml:math>-Symmetric Talbot Effects

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi>T</mml:mi></mml:math>-Symmetric Talbot Effects

We show that complex $\mathcal{P}\mathcal{T}$-symmetric photonic lattices can lead to a new class of self-imaging Talbot effects. For this to occur, we find that the input field pattern has to respect specific periodicities dictated by the symmetries of the system. While at the spontaneous $\mathcal{P}\mathcal{T}$-symmetry breaking point the image revivals …