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Non-Hermitian skin effect denotes the exponential localization of a largenumber of eigen-states in a non-Hermitian lattice under open boundaryconditions. Such a non-Hermiticity-induced skin effect can offset thepenetration depth of in-gap edge states, leading to counterintuitivedelocalized edge modes, which have not been studied in a realistic photonicsystem such as photonic crystals. Here, we analytically reveal thenon-Hermitian skin effect and the delocalized edge states in Maxwell'sequations for non-Hermitian chiral photonic crystals with anomalous parity-timesymmetry. Remarkably, we rigorously prove that the penetration depth of theedge states is inversely proportional to the frequency and the real part of thechirality. Our findings pave a way towards exploring novel non-Hermitianphenomena and applications in continuous Maxwell's equations.

Non-Hermitian skin effect and delocalized edge states in photonic crystals with anomalous parity-time symmetry