Abstract
We prove that coherent perfect absorption (CPA) without lasing is not possible in the PT-symmetric domain because the S-matrix is such that . We study coherent scattering from three complex potentials, one solved analytically and the other two numerically. We conjecture that in the domain of unbroken symmetry (when the potential has a real discrete spectrum), neither spectral singularity nor CPA can occur. We show that the Scarf II potential is a special model that can analytically and explicitly exhibit these as well as other novel phenomena and their subtleties.
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