Abstract
The Casimir energy of a dilute dielectric cylinder, with the same light-velocity as in its surrounding medium, is evaluated exactly to first order in ξ 2= ε 1−ε 2 ε 1+ε 2 2 (where ε 1, ε 2 are the dielectric constants of the cylinder and of its environment), and numerically to higher orders in ξ 2. The first part is carried out using addition formulas for Bessel functions, and no Debye expansions are required.
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