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

• URL: http://arxiv.org/abs/2012.01069v3
• Date: Wed, 17 Feb 2021 10:12:13 GMT
• Title: Maxwell-Bloch modeling of an x-ray pulse amplification in a 1D photonic crystal
• Authors: O. Peyrusse, P. Jonnard, J.-M. Andr\'e
• Abstract summary: We present an implementation of the Maxwell-Bloch formalism for the study of x-ray emission dynamics from periodic multilayer materials. The numerical model is applied to the problem of $Kalpha$ emission in multilayer materials where the population inversion could be created by fast inner-shell photoionization by an x-ray free-electron-laser (XFEL)
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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