Lumped Circuit Models for Degenerate Band Edge and Magnetic Photonic Crystals

Multiport circuit models are presented to emulate a new class of periodic anisotropic crystals exhibiting dispersion diagrams with degenerate band edges or stationary inflection points (SIPs). Specifically, a 4-port lumped circuit is introduced to model a partially coupled pair of microstrip lines known to emulate propagation in an anisotropic medium. A 6-port circuit is also presented to model three partially coupled transmission lines. Under specific coupling conditions, the latter circuit can support the SIP associated with the K-¿ curves of magnetic photonic crystals.