文摘
In this work we study scattering in a symmetric periodic optical lattice, when two coherent beams are incident on it from two opposite directions. We focus our attention on both broken as well as unbroken phase, with special emphasis on spectral singularity. This is another example of an analytically solvable model, apart from the symmetric Scarf II potential discussed in ref. Ahmed (Phys. Rev. A 81, 022102 (2014)), which exhibits the phenomenon of Coherent Perfect Absorption (CPA) with lasing, in the domain of broken symmetry. At the same time, CPA is neither possible for unbroken symmetry, nor at the transition point. Keywords symmetric periodic optical lattice Scattering Coherent perfect absorption Spectral singularity Reflection Transmission