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Ultra‐short and ultra‐intense X‐ray free‐electron laser single pulse in one‐dimensional photonic crystals
Authors:Jean-Michel André  Philippe Jonnard
Affiliation:1. Laboratoire de Chimie Physique-Matière et Rayonnement, Sorbonne Universités, UPMC Université Paris 06, Bo?te courrier 1140, 4 place Jussieu, F-75252Paris Cedex 05, France;2. Laboratoire de Chimie Physique-Matière et Rayonnement, CNRS UMR 7614, Bo?te courrier 1140, 4 place Jussieu, F-75252Paris Cedex 05, France
Abstract:The propagation within a one‐dimensional photonic crystal of a single ultra‐short and ultra‐intense pulse delivered by an X‐ray free‐electron laser is analysed with the framework of the time‐dependent coupled‐wave theory in non‐linear media. It is shown that the reflection and the transmission of an ultra‐short pulse present a transient period conditioned by the extinction length and also the thickness of the structure for transmission. For ultra‐intense pulses, non‐linear effects are expected: they could give rise to numerous phenomena, bi‐stability, self‐induced transparency, gap solitons, switching, etc., which have been previously shown in the optical domain.
Keywords:X‐ray free electron laser  one‐dimensional photonic crystal  non‐linear processes
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