Open AccessThe ocean‐coast effect re‐examined
Author(s) -
Raval U.,
Weaver J. T.,
Dawson T. W.
Publication year - 1981
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1981.tb02735.x
Subject(s) - perpendicular , geology , magnetic field , geophysics , surface (topology) , field (mathematics) , polarization (electrochemistry) , mathematical analysis , geometry , geodesy , mathematics , physics , pure mathematics , chemistry , quantum mechanics
Summary The Wiener‐Hopf technique is used to obtain an analytic solution in closed form for an ocean‐coast model that was studied in a recent paper with the aid of a numerical method of solution. The model consists of a uniformly conducting half‐space representing the solid Earth overlain by a perfectly conducting half‐sheet representing the ocean, with the inducing magnetic field uniform and perpendicular to the edge of the sheet (E‐polarization). The primary purpose of the investigation is to resolve a large discrepancy between the published values of the horizontal magnetic field over the land surface and those obtained by another more general numerical method applied to a model in which the ocean is represented by a thin sheet of very large finite conductance. The analytic solution reveals errors in the previously published values of the horizontal magnetic field on the land surface but confirms the general accuracy of the results for the other field components. The errors are shown to be responsible for the abnormal behaviour of the Parkinson vectors in the previously published work. For reference the values of the surface field components obtained from the analytic solution are tabulated to three figure accuracy.