Modelling of electromagnetic waves in periodic media with finite elements

Edge elements have been previously used to study electromagnetic waves conically propagating through a finite stack of arrays of fibres [(IEEE Trans. Magn. 38(2)(2002))]. This paper presents a new extension of this technique to the analysis of the propagation of such waves in a doubly periodic array of fibres. In the proposed approach, only the unit cell of the periodic material has to be meshed, thanks to Floquet–Bloch theory.