The electromagnetic (EM) eigenstates of a thin, long circular cylinder,
for which a very good approximate closed form expression wasderived
earlier, are used to set up a numerical computation of the EM eigenstates
of a cluster of parallel cylinders. Detailed results are presented for
a pair of identical cylinders, as well as for a cluster of three
identical cylinders, where
the cylinder axes are situated at the vertices of an equilateral
triangle. The aim is to find an eigenstate that has an electric
dipole moment and a magnetic dipole moment of comparable magnitudes.
By operating the system near such an isolated resonance,
it should be possible
to tweak the macroscopic response so as to have both the macroscopic
electric permittivity εe and the macroscopic magnetic
permeability μe attain desirable values, e.g., values that are
almost real and negative.
It is argued that a three-cylinder cluster is a good configuration
for achieving this goal, but a two-cylinder cluster is not.