Abstract:Objective A system with non -Hermitian Hamiltonian commutative with the paritytime operator, proposed by Bander et al. , has a real eigenenergy spectrum and some novel properties under certain conditions. Due to the similarity between Schrodinger′s equation and the optical Helmholtz equation, the optical system with outofphase spatial modulation is a good platform to simulate a system with paritytime (PT) symmetry, which is named the non -Hermitian optical system. In
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