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Transport Properties of Cylinder Pairs and of the Square Array of Cylinders
R. C. McPhedran
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 408, No. 1834 (Nov. 8, 1986), pp. 31-43
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2398138
Page Count: 13
You can always find the topics here!Topics: Cylinders, Coefficients, Multipoles, Conductivity, Transport phenomena, Composite materials, Electric fields, Electrical potential, Physics, Infinity
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We evaluate the multipole coefficients B2n-1 in the potential expansion for a perfectly conducting cylinder pair separated by unit potential difference. We obtain a simple expression for the B2n-1 when the cylinders approach each other, and show that this expression also holds for a square array of cylinders. We derive a formula linking ratios of multipole coefficients from Green's theorem, and use this to obtain an estimate for the effect of changing the cylinder conductivity from infinity to a large, finite value on the array conductivity.
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences © 1986 Royal Society