Abstract
A systematic method for formulating and solving many-body problems in electromagnetic theory is illustrated with the many-sphere problem in electrostatics. The general problem of an arbitrary number of spheres of arbitrary radii and arbitrary uniform compositions in an arbitrary configuration and under the excitation of a uniform electric field is formulated in terms of a pair of coupled, linear, inhomogeneous matrix equations. The equations can be solved analytically by iteration. The method is applied to the problem of an infinite number of identical spheres arranged in a simple cubic lattice. A formula for the effective dielectric constant of the simple cubic lattice of spheres is derived.
La lune blanche Luit dans les bois; De chaque branche Part une voix Sous la ramée…
O bien-aimée.
Paul Verlaine
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© 1990 Springer-Verlag New York, Inc.
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Lam, J. (1990). Many-Body Problems in Electromagnetic Theory. In: Kritikos, H.N., Jaggard, D.L. (eds) Recent Advances in Electromagnetic Theory. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3330-5_10
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DOI: https://doi.org/10.1007/978-1-4612-3330-5_10
Publisher Name: Springer, New York, NY
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