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Hybrid FDTD analysis of two- and four-level atomic systems

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Abstract

A hybrid algorithm, which couples rigorous time-domain electromagnetic analysis with rate equations representing a multi-level atomic system, is presented in this paper. It is explicitly shown that the rate equations can be decoupled from Maxwell curl equations, provided that the evolution of both systems is ongoing on different time scales. Consequently, the proposed algorithm allows substantially speeding up electromagnetic analysis of absorbing and lasing materials with no deteriorating impact on accuracy. Several computational examples, pointing out major properties of the proposed hybrid FDTD algorithms, are presented in this paper.

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Acknowledgments

The research leading to these results has received funding from the Polish Ministry of Science and Higher Education under Grant Agreement No. 0550/IP2/2013/72 (Iuventus Plus). The author would like to thank Dr. Kamila Lesniewska-Matys for fruitful discussions on to the proposed hybrid technique.

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  1. Institute of Radioelectronics, Warsaw University of Technology, Nowowiejska 15/19, 00-665, Warsaw, Poland

    Bartlomiej Salski

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  1. Bartlomiej Salski
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Correspondence to Bartlomiej Salski.

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Salski, B. Hybrid FDTD analysis of two- and four-level atomic systems. Opt Quant Electron 47, 1703–1712 (2015). https://doi.org/10.1007/s11082-014-0027-8

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  • DOI: https://doi.org/10.1007/s11082-014-0027-8

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