Performance evaluation of numerical methods for the Maxwell–Liouville–von Neumann equations

Michael Riesch, Nikola Tchipev, Sebastian Senninger, Hans Joachim Bungartz, Christian Jirauschek

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

The Maxwell–Liouville–von Neumann (MLN) equations are a valuable tool in nonlinear optics in general and to model quantum cascade lasers in particular. Several numerical methods to solve these equations with different accuracy and computational complexity have been proposed in related literature. We present an open-source framework for solving the MLN equations and parallel implementations of three numerical methods using OpenMP. The performance measurements demonstrate the efficiency of the parallelization.

Original languageEnglish
Article number112
JournalOptical and Quantum Electronics
Volume50
Issue number2
DOIs
StatePublished - 1 Feb 2018

Keywords

  • Liouville–von Neumann equation
  • Maxwell–Bloch equations
  • Parallelization
  • Quantum cascade lasers

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