Asymptotic quantum elastic generalized Lorenz–Mie theory

✍ Scribed by G. Gouesbet

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 183 KB
• Volume: 266
• Category: Article
• ISSN: 0030-4018
• DOI: 10.1016/j.optcom.2006.05.012

✦ Synopsis

The (electromagnetic) generalized Lorenz-Mie theory describes the interaction between an electromagnetic arbitrary shaped beam and a homogeneous sphere. It is a generalization of the Lorenz-Mie theory which deals with the simpler case of a plane-wave illumination. In a recent paper, we established that, if we restrict ourselves to the study of cross-sections, both for elastic and inelastic scatterings, a macroscopic sphere in Lorenz-Mie theory is formally equivalent to a quantum-like radial potential. To generalize this result, a prerequisite is to possess an asymptotic quantum generalized Lorenz-Mie theory expressing cross-sections in the case of a quantum radial potential interacting with a sub-class of quantum arbitrary wave-packets. Such a theory, restricted however to elastic scattering, is presented in this paper.