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| Symplectic Method for Energy Bands and Surface States of 1D Periodic Structure with Defects |
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Abstract In this paper, based on the symplectic method, the eigen-equations for one dimensional periodic structure, semi-infinite periodic structure and semi-infinite periodic structure with defects are derived. By analysis based on symplectic method, the eigen-problem for semi-infinite periodic structure is transformed into an eigen-problem on a unit cell which simplifies the problem. Based on symplectic method and W-W algorithm, an accurate, stable and efficient method for solving eigen-problem of semi-infinite periodic structure with defects is proposed. Numerical examples are also presented to validate the methods proposed in this paper.
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Received: 01 April 2010
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2011, Vol. 32 
