2007•Unpublished venueRequires access

Simulations of 2D Maxwell-Bloch equations

Jingyi Xiong, Max Colice, Friso Schlottau, Kelvin H. Wagner, Bengt Fornberg

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Abstract

Rare-earth-doped crystals can be modelled as inhomogeneously broadened two-level atoms. Beam propagation in the crystals can be described by the Maxwell-Bloch equations. We numerically solve 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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What this paper is about

Rare-earth-doped crystals can be modelled as inhomogeneously broadened two-level atoms. Beam propagation in the crystals can be described by the Maxwell-Bloch equations. We numerically solve 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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Available abstract

Rare-earth-doped crystals can be modelled as inhomogeneously broadened two-level atoms. Beam propagation in the crystals can be described by the Maxwell-Bloch equations. We numerically solve 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.

Key concepts: Bloch equations, Maxwell's equations, Finite difference method, Physics, Finite difference, Beam propagation method, Bloch wave, Beam (structure)

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