An application of the Wiener-Hopf technique to the solution of H-polarization induction over a coastline

dc.contributor.authorNicoll, Martin Adrianen_US
dc.date.accessioned2024-08-15T16:35:09Z
dc.date.available2024-08-15T16:35:09Z
dc.date.copyright1976en_US
dc.date.issued1976
dc.degree.departmentDepartment of Physics
dc.degree.departmentDepartment of Physics and Astronomy
dc.degree.levelMaster of Science M.Sc.en
dc.description.abstractThe Wiener-Hopf technique uses results from complex analysis to obtain analytic solutions to differential equations with mixed boundary conditions. This type of problem arises frequently in geomagnetic induction models. In this thesis the technique is applied to two models with magnetic polarized fields over an ocean edge. The earth's properties were assumed to be constant in the direction parallel to the coastline resulting in a two dimensional mathematical problem. In both models the crust was assumed to have a small conductivity to allow current flow. The difference between the models is that the first assumes the depth to the mantle is infinite while the second has a mantle of infinite conductivity at a finite depth. The solution of the second model demonstrates the existence of current loops flowing from the sea through the crust and returning via the mantle.en_US
dc.format.extent80 pages
dc.identifier.urihttps://hdl.handle.net/1828/19136
dc.rightsAvailable to the World Wide Weben_US
dc.titleAn application of the Wiener-Hopf technique to the solution of H-polarization induction over a coastlineen_US
dc.typeThesisen_US

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