A transparent macroscopic sphere is cross-sectionally equivalent to a superposition of two quantum-like radial potentials |
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Authors: | G Gouesbet |
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Institution: | Laboratoire d’Electromagnétisme et Systèmes Particulaires (LESP), Unité Mixte de Recherche (UMR) 6614, du Centre National de la Recherche Scientifique (CNRS), Complexe de Recherche Interprofessionnel en Aérothermochimie (CORIA), Institut National des Sciences Appliquées de Rouen (INSA-Rouen) et Université de Rouen, BP 12, 76 801, Saint Etienne du Rouvray Cedex, France |
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Abstract: | We consider two frameworks (i) the electromagnetic generalized Lorenz-Mie theory describing the interaction between an electromagnetic arbitrary shaped beam and a homogeneous, non-magnetic sphere, with an isotropic, linear, material and (ii) a quantum generalized Lorenz-Mie theory describing the interaction between a quantum eigen-arbitrary shaped beam and a quantum radial potential. For the time being, we restrict ourselves in this paper to elastic scattering cross-sections. We then demonstrate that a transparent macroscopic sphere in the first framework is equivalent to a superposition of two quantum-like radial potentials in the second framework. The restrictive meaning of “quantum-like” will be discussed when appropriate. |
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