PHOTONIC BAND-GAPS FOR ARRAYS OF PERFECTLY CONDUCTING CYLINDERS

We study the propagation of electromagnetic waves through arrays of pe rfectly conducting cylinders for both fundamental polarization cases s and p. We use a generalized Rayleigh identity method and show that fo r p polarization the fundamental band defines an effective refractive index not in keeping with electrostatics. We exhibit the photonic band structures for very dilute arrays, where they tend towards the expect ed free-propagation form. We also study them for arrays approaching to uching, where very interesting differences between s and p polarizatio n behavior are manifest.