Eccentric multipole representations of current generators in a spherical volume conductor |
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Authors: | Gordon C K Yeh |
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Institution: | (1) Consultant, Reed Research Foundation, Washington, D.C.;(2) Present address: Research Laboratory, Space Technology Laboratories, Inc., Canoga Park, California |
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Abstract: | In Yeh, Martinek and de Beaumont (Bull. Math. Biophysics,20, 203–16, 1958), a method is presented for determining successively better central multipole representations of the current
generators in a homogeneous conducting sphere by measuring surface potentials at a successively increasing number of points.
This paper generalizes the method such that the multipoles may be located at any chosen point in the conductor. The spherical
harmonic expansion is advantageously used and the “interior sphere theorem” of Ludford, Martinek and Yeh (Proc. Cambridge Philos. Soc.,51, 389–93, 1955) makes possible disturbance potential expressions in closed forms. A method for approximate determination of
the eccentricity is also presented. In the theory of electrocardiography, the eccentric multipoles can more accurately represent
the heart as a current generator with fewer surface potential measurements than the central multipoles.
This investigation was supported by The National Heart Institute under Research Grant H-2263(c-4). |
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