Investigation of Electromagnetic Wave Propagation in Planar SuperconductingMicrowave Device Structures

摘要

The propagation of electromangetic waves in planar structures containingsuperconducting materials is investigated. The London model is chosen to describe the behavior of the superconducting materials. For a general N-layer configuration, the wave propagation problem that arises when this model is combined with Maxwell's equations is analyzed in several steps. Firstly, a temporal, one-sided Laplace transformation and a spatial Fourier transformation are applied. Secondly, the resulting transform domain problem is solved using the scattering matrix theory. Besides the derivation of the general N-layer solution, the propagation of TM polarized waves is analyzed for configurations consisting of a homogeneous superconducting medium, a combination of a dielectric and a superconducting halfspace, a superconducting slab enclosed between two dielectric halfspaces, and a dielectric slab enclosed between two superconducting halfspaces. These investigations are performed for a real and positive Laplace transformation parameters. In a number of cases solutions in other domains are derived as well. For the homogeneous superconducting medium, attention is paid to the propagation of a space-time domain plane wave. For the configuration consisting of two halfspaces, the possible propagation of a time-harmonic plasmon wave is investigated. For both three-layer configurations, the propagation of time harmonic waves is described using modal analysis.