2013/10/30 by Xuele Liu, Subhasish Dutta Gupta, G. S. Agarwal
Mathematics · Physics and Astronomy · #Computer science #Gravitational singularity #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Regularization (linguistics) #Singularity #physics.optics
paper · pdf · doi:10.1103/physreva.89.013824
5 pages, 5 figures
arxiv created 2013/10/30 · openalex publication_date 2014/01/21 · arxiv updated 2015/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Spectral singularities are ubiquitous with PT symmetry leading to infinite transmission and reflection coefficients. Since physical systems cannot have singularities, these must be the artifact of some missing physics. The singularities imply the divergence of the fields in the medium, thereby breaking the very assumption of the linearity of the medium used to obtain such singularities. We show how the incorporation of the correct all-order nonlinear behavior of the medium regularizes the spectral singularity. The all-order nonlinear PT-symmetric device is shown to exhibit very effective isolation or optical diode action since transmission through such a system is nonreciprocal. In contrast, a linear system or a system with Kerr nonlinearity is known to have only reciprocal transmission.