Non-Hermitian Fabry-Pérot resonances in a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>P</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math> -symmetric system

In non-Hermitian scattering problems the behavior of transmission probability is very different from its Hermitian counterpart; it can exceed unity or even be divergent, since non-Hermiticity add remove to and system. present paper, we consider problem a PT-symmetric potential find counter-intuitive behavior. usual system, would typically stationary semi-Hermitian dynamics in regime weak but observe instability once goes beyond an exceptional point. Here, contrast, strongly with divergent peaks, while superficially strong non-Hermiticity, recovering conventional Fabry-Perot-type peak structure. We show that unitarity S-matrix generally broken both regimes, recovered limit infinitely non-Hermiticity.