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Unidirectional invisibility of a PT-symmetric optical system is of greatinterest, but challenging as well since it is infeasible to fulfill it throughwide optical frequency ranges in all angular directions. Accordingly we studyreflectionless and invisible patterns in the TE and TM modes of an optical slabsystem consisting of adjacent or separated pair of balanced gain and losslayers with a gap. We provide a comprehensive study of one of the simplestexperimentally accessible examples of a unidirectionally reflectionless andinvisible PT-symmetric optical slab system. We obtain the physically optimalconditions for the realization of these phenomena. We derive analyticexpressions, and show that only certain gain amounts restricted to take valuesbetween certain minimum and maximum values give rise to uni/bi-directionallyinvisible configurations. The size of gap decides the measure ofreflectionlessness and invisibility parameters, especially on gain value andincident angle.

Unidirectional reflectionlessness and invisibility in the TE and TM modes of a PT-symmetric slab system