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Numerical solutions to 2D Maxwell–Bloch equations

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Abstract

Rare-earth-doped crystals contain inhomogeneously broadened two-level atoms. Optical propagation and nonlinear interaction in the crystals can be described by the Maxwell–Bloch equations. We show a consistent numerical approach that solves Maxwell’s equations by using the FFT-finite difference beam propagation method and the Bloch equations by using the finite difference method. Numerical simulation results are given for an off-axis 3-pulse photon echo.

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Author notes

  1. Max Colice

    Present address: Hamilton, Brook, Smith & Reynolds, 530 Virginia Rd., Concord, MA, 01742-9133, USA

  2. Friso Schlottau

    Present address: Inphase Technologies, 2000 Pike Rd., Longmont, CO, 80501, USA

Authors and Affiliations

  1. Department of Electrical & Computer Engineering, Optoelectronic Computing Systems Center, University of Colorado, Boulder, CO, 80309, USA

    Jingyi Xiong, Max Colice, Friso Schlottau & Kelvin Wagner

  2. Department of Applied Mathematics, University of Colorado, Boulder, CO, 80309, USA

    Bengt Fornberg

Authors
  1. Jingyi Xiong
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  2. Max Colice
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  3. Friso Schlottau
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  4. Kelvin Wagner
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  5. Bengt Fornberg
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Corresponding author

Correspondence to Jingyi Xiong.

Additional information

When this work was performed, all the authors were with CU.

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Xiong, J., Colice, M., Schlottau, F. et al. Numerical solutions to 2D Maxwell–Bloch equations. Opt Quant Electron 40, 447–453 (2008). https://doi.org/10.1007/s11082-008-9227-4

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  • DOI: https://doi.org/10.1007/s11082-008-9227-4

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