Green's Dyadic Approach of the Self-Stress on a Dielectric-Diamagnetic   Cylinder with Non-Uniform Speed of Light
  We present a Green's dyadic formulation to calculate the Casimir energy for a dielectric-diamagnetic cylinder with the speed of light differing on the inside and outside. Although the result is in general divergent, special cases are meaningful. It is pointed out how the self-stress on a purely dielectric cylinder vanishes through second order in the deviation of the permittivity from its vacuum value, in agreement with the result calculated from the sum of van der Waals forces. 
Ines Cavero-Pelaez and Kimball A. Milton