A transversely localized light in a waveguide: the analytical solution and its potential application

Abstract

Investigation of light in the waveguide structures is a topical modern problem that has long historical roots. A parallel-plate waveguide is a base model in these studies and it is intensively used in numerous investigations of nanooptics, integrated circuits and nanoplasmonics. In this letter we first have found the analytical solution for the light modes in this waveguide. The solution provides a clear physical picture for description of a light within the broadband spectral range in the waveguide with various physical parameters. Potential of the analytical solutions for studies of light fields in the waveguides of nanooptics and nanoplasmonics has been also discussed.