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arXiv · 1803.03581

Linear and nonlinear coherent perfect absorbers on simple layers

Vladimir V. Konotop·Dmitry A. Zezyulin
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Abstract

We consider linear and nonlinear coherent perfect absorbers (CPAs) in multidimensional geometries and construct explicitly the respective perfectly absorbed solutions. The multidimensional CPAs have a structure of the so-called simple layers which represent the generalization of the point $δ$ function potential to higher dimensions. The considered examples include broadband CPAs confined to a straight line (in a two-dimensional setting) and to a plane (in the three-dimensional space); CPAs for topological vortices on an absorbing circle; as well as axially-symmetric CPAs on a sphere. Additionally, it is shown that a paraxial beam propagating along a surface nonlinear CPA embedded in the three-dimensional space can be stable against perturbations. The results are interpreted in applications to optical and acoustic systems.

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Vladimir V. Konotop, Dmitry A. Zezyulin. 2018-06-13. Linear and nonlinear coherent perfect absorbers on simple layers. https://doi.org/10.1103/physreva.97.063850

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