Plane wave expansion method: Difference between revisions

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For both generalized and normal eigen value problems, just a few band-index plots in the band-structure diagrams are required, usually lying on the [[brillouin zone edges]]. This corresponds to eigen modes solutions using iterative techniques, as opposed to diagonalization of the entire matrix.
 
The PWEM is highly efficient for calculating modes in periodic dielectric structures. Being a Fourier space method, it suffers from Gibb'sthe [[Gibbs phenomenon]] and slow convergence in some configuration when fast Fourier factorization is not used. It is the method of choice for calculating the band structure of photonic crystals. It is not easy to understand at first, but it is easy to implement.
 
==Disadvantages==