Scattering by an anisotropic infinite cylinder: a modal approach
Résumé
Scattering of anisotropic nanostructures has always been a challenging problem due to the complexity of the boundary conditions with the tensorial form of the permittivity, which is becoming even more challenging for non-conventional geometries. To solve these problems, it is necessary to consider strong hypothesis of lossless material and generic nanoparticle geometries, and only few solutions have achieved modal decomposition of interest to build physical intuitions. Here, we present an extension of the generalized normal mode expansion, applicable to scatterers with complex geometries composed of lossy and anisotropic materials. We illustrate our method by considering an infinitely long cylinder with concentric metallic/dielectric layers, targeting the complex case of hyperbolic metamaterial response, and identifying regimes of interest for applications, including back-scattering cancellation effect.