Guided Modes Of A Wire Medium Slab: Comparison Of Effective Medium Approaches With Exact Calculations (Vol 91,155427, 2015)

We derive the dispersion relations of the guided modes in wire media slabs using a transmission and reflection matrix approach, providing a physically insightful perspective into wave propagation in wire media slabs. We find new approximations to the dispersion relations, and assess their accuracy and the regimes for which they hold. We do so both analytically, and against exact calculations of the electromagnetic fields without reference to effective media. We then analyze the effects of the background refractive index on the guided modes, proposing explanations for the observed behavior.