Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at Real Energies

作者: Ali Mostafazadeh

DOI: 10.1103/PHYSREVLETT.102.220402

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摘要: Spectral singularities are spectral points that spoil the completeness of eigenfunctions certain non-Hermitian Hamiltonian operators. We identify complex scattering potentials with real energies at which reflection and transmission coefficients tend to infinity, i.e., they correspond resonances having a zero width. show waveguide modeled using such potential operates like resonator frequencies singularities. As concrete example, we explore an imaginary PT-symmetric barrier demonstrate above resonance phenomenon for electromagnetic waveguide.

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