Implicit high-order unconditionally stable complex envelope algorithm for solving the time-dependent Maxwell's equations

Shuqi Chen, Weiping Zang, Axel Schülzgen, Jinjie Liu, Lin Han, Yong Zeng, Jianguo Tian, Feng Song, Jerome V. Moloney, Nasser Peyghambarian

Research output: Contribution to journalArticle

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Abstract

Based on the Padé approximation and multistep method, we propose an implicit high-order unconditionally stable complex envelope algorithm to solve the time-dependent Maxwell's equations. Unconditional numerical stability can be achieved simultaneously with a high-order accuracy in time. As we adopt the complex envelope Maxwell's equations, numerical dispersion and dissipation are very small even at comparatively large time steps. To verify the capability of our algorithm, we compare the results of the proposed method with the exact solutions.

Original languageEnglish (US)
Pages (from-to)2755-2757
Number of pages3
JournalOptics letters
Volume33
Issue number23
DOIs
StatePublished - Dec 1 2008

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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