**Cylinder**

For a perfectly conducting cylinder, the M and E polarizations correspond to Dirichlet and Neumann scalar fields:

Can be used to compute the interaction between a cylinder and a plate:

"Casimir Interaction between a Plate and a Cylinder,"

T. Emig, R.L. Jaffe, M. Kardar & Scardicchio, Phys. Rev. Lett.

96, 080403 (2006)Limiting force for a thin wire (

R >> H):

due to long wave-length charge fluctuations along the length of the cylinder.

Unexpected non-monotonicity due to three-body effects:

"Nonmonotonic effects of parallel sidewalls on Casimir forces between cylinders,"

Rahi, Rodriguez, Emig, Jaffe, Johnson, & Kardar, Phys. Rev.

A77, 030101(R) (2008)