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arXiv · 2012.01069

Maxwell-Bloch modeling of an x-ray pulse amplification in a 1D photonic crystal

O. Peyrusse·P. Jonnard·J. -M. André
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Abstract

We present an implementation of the Maxwell-Bloch (MB) formalism for the study of x-ray emission dynamics from periodic multilayer materials whether they are artificial or natural. The treatment is based on a direct Finite-Difference-Time-Domain (FDTD) solution of Maxwell equations combined with Bloch equations incorporating a random spontaneous emission noise. Besides periodicity of the material, the treatment distinguishes between two kinds of layers, those being active (or resonant) and those being off-resonance. The numerical model is applied to the problem of $K\alpha$ emission in multilayer materials where the population inversion could be created by fast inner-shell photoionization by an x-ray free-electron-laser (XFEL). Specificities of the resulting amplified fluorescence in conditions of Bragg diffraction is illustrated by numerical simulations. The corresponding pulses could be used for specific investigations of non-linear interaction of x-rays with matter.

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O. Peyrusse, P. Jonnard, J. -M. André. 2020-12-02. Maxwell-Bloch modeling of an x-ray pulse amplification in a 1D photonic crystal. https://doi.org/10.1103/physreva.103.043508

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