Symplectic method for energy bands and surface states of 1D periodic structure with defects

Qiang Gao, Teng Zhang, Wanxie Zhong

Research output: Contribution to journalArticle

Abstract

In this paper, the eigen-equations for one dimensional periodic structure, semi-infinite periodic structure and semi-infinite periodic structure with defects are derived based on the symplectic method. The eigen-problem for a semi-infinite periodic structure is transformed into an eigen-problem for a unit cell. Together the symplectic method with the 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.

Original languageEnglish (US)
Pages (from-to)372-381
Number of pages10
JournalGuti Lixue Xuebao/Acta Mechanica Solida Sinica
Volume32
Issue number4
StatePublished - Aug 1 2011
Externally publishedYes

Keywords

  • Energy band
  • Periodic structure
  • Surface state
  • Symplectic

ASJC Scopus subject areas

  • Mechanics of Materials

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