Induction in Arbitrarily Shaped Oceans II

Edge Correction for the Case of Infinite Conductivity

Abstract

Analytic edge corrections are developed suitable for matching with approximate solutions (derived otherwise) for perfectly conducting oceans. By comparison with the solution of a particular problem, it is verified that the matched solutions are good all the way to the edge of the idealized oceans. They reproduce accurately the well known singularity on the coastline, and this property is essential if the solutions are in turn to match those for finite conductivity. Often an appreciable (oscillating) magnetic field passes beneath the “ocean”, and this should perhaps be included in future calculations involving ocean edge effects.