A weighted residual finite element method (FEM) is employed to obtain the dispersion curves of two-dimensional (2D) doubly periodic and three-dimensional (3D) triply periodic structures (such as those employed in photonic band gap devices). The scalar and vector finite element formulations used in the computations are given. FEM results of 2D and 3D models are presented in a structured manner, which confirms the correct functioning of the finite element codes.
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Mias et al. (1999) studied this question.
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