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Complex envelope Faber polynomial method for the solution of Maxwell’s equations

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Abstract

A complex envelope approach for the numerical solution of Maxwell’s equations based on Faber polynomial expansions is investigated. The Faber polynomial expansion used for the approximation of the exponential time propagator offers a highly accurate and efficient calculation while allowing the application of large time steps. The complex envelope approach incorporates only the envelope around a carrier frequency. This is especially beneficial when bandlimited source field distributions are investigated as it is the case for many applications from terahertz technology or photonics.

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Acknowledgements

This work was supported by the German research funding association Deutsche Forschungsgemeinschaft under Grant SCHU 1016/6-1.

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  1. Technische Universität Dortmund, Friedrich-Wöhler-Weg 4, 44227, Dortmund, Germany

    Hendrik Kleene & Dirk Schulz

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  1. Hendrik Kleene
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  2. Dirk Schulz
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Correspondence to Hendrik Kleene.

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Kleene, H., Schulz, D. Complex envelope Faber polynomial method for the solution of Maxwell’s equations. Opt Quant Electron 51, 381 (2019). https://doi.org/10.1007/s11082-019-2099-y

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