Abstract

Nuclear resonance fluorescence experiments typically require high rates of monochromatic photons due to the narrow linewidth of these resonances. Inverse Compton scattering sources are used to perform these experiments. Their intrinsic excellent monochromaticity is however spoiled by a variety of unavoidable imperfections related to the electron and laser beams. Some projects aim at reaching one per-mille of energy bandwidth, which requires attaining excellent brilliance of the electron beam but also a careful optimization of the laser-beam parameters. In particular, in such a situation, a careful accounting for the nonlinearities induced by a relatively large laser energy has to be considered. In this article, we revisit these nonlinearities with a quantum viewpoint with the goal to provide analytical expressions that can be employed for a very fast optimization of the performance of the source. These expressions were benchmarked against the CAIN event generator with an excellent accuracy in the parameters hypervolume that is of interest in this context. We also show that previously published expression often used to include laser nonlinearities in analytical bandwidth expressions significantly depart from the detailed CAIN simulations. The obtained expression are further used to optimize designs similar to those considered in on-going projects.

Highlights

  • Several facilities are currently providing γ-rays with high-photon rates, low bandwidth, energy tunable, and high polarization mostly for nuclear physics applications and nondestructive analysis [1,2]

  • We propose to review this latter term in this article

  • In order to give confidence in the model we develop, we decide to compare the results with predictions obtained by means of simulating the interaction of the laser and electron beams with the event generator CAIN 2.42 [29]

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Summary

INTRODUCTION

Several facilities are currently providing γ-rays with high-photon rates, low bandwidth, energy tunable, and high polarization mostly for nuclear physics applications and nondestructive analysis [1,2]. For an ICS based on this technology combined with optimized burst mode optical cavity, the so-called nonlinear contribution due to the relatively large laser pulse energy must be precisely accounted for. Such an additional contribution to the ICS bandwidth is usually classically computed and estimated with simulations of the classical electron trajectory in the laser field, see for instance Refs. [19] for instance by employing an optimized burst mode optical cavity [23] or beams that are expected to be delivered for the PERLE project [21] This is where the design of a per-mille bandwidth photon source is targeted

NONLINEAR SCATTERING BETWEEN PHOTONS AND ELECTRONS
Cross sections in the single or multiple photon absorption regime
Electron mass in the strong field
Purely circular laser polarization
Purely linear laser polarization
ANALYTICAL MODEL
IMPROVED ANALYTICAL MODEL INCLUDING NONLINEARITIES
Laser intensity as seen by the electron beam
Effect of electron dressing
Effect of multiphoton absorption
Discussion of the introduced model
INVESTIGATION OF DESIGNS DRIVEN BY PER-MILLE BANDWIDTH REQUIREMENTS
Energy recovery linacs
CONCLUSION
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