2002•Journal of the Optical Society of America ARequires access
Analysis for the convergence problem of the plane-wave expansion method for photonic crystals
Linfang Shen, Sailing He
Open publisher page 36 citations
Abstract
The convergence feature of two types of plane-wave expansion methods commonly used for photonic crystals is analyzed. It is shown that the reason for the slow convergence of these plane-wave expansion methods is not the slow convergence of the Fourier series for the permittivity profile of the photonic crystal but the inappropriate formulation of the eigenproblem. A new formulation of the eigenproblem is presented to improve the convergence in the one-dimensional case.