ON THE POSSIBILITY OF LOCALIZED WAVE-PROPAGATION USING A CLASSICAL 2-FLUID MODEL OF SUPERCONDUCTORS

In this paper, the classical two-fluid model for superconductors is us ed to determine the time-dependent partial differential equations (PDE s) which govern wave propagation in superconducting media. These equat ions are then solved exactly in both two and three dimensions using lo calized wave solutions rather than the traditional eigenfunction solut ions. We have applied these localized wave solutions to the problem of a symmetric superconducting slab, neglecting the normally conducting current density, and found that the resultant focus wave mode magnetic field solution expels flux from the interior of the slab and can rega in its initial amplitude as it travels along the surface of the slab. A comparison of the transverse part of the localized wave solution wit h the transverse part of the more usual plane wave solution shows rema rkable agreement.