Caustic structures in the spectrum of x-ray Compton scattering off electrons driven by a short intense laser pulse

Abstract

We study the Compton scattering of x-rays off electrons that are driven by a relativistically intense short optical laser pulse. The frequency spectrum of the laser-assisted Compton radiation shows a broad plateau in the vicinity of the laser-free Compton line due to a nonlinear mixing between x-ray and laser photons. Special emphasis is placed on how the shape of the short assisting laser pulse affects the spectrum of the scattered x-rays. In particular, we observe sharp peak structures in the plateau region, whose number and locations are highly sensitive to the laser pulse shape. These structures are interpreted as spectral caustics by using a semiclassical analysis of the laser-assisted QED matrix element.

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• Unveiling the transverse formation length of nonlinear Compton scattering
• One-loop vertex correction in a plane wave
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• First-order strong-field QED processes including the damping of particles states
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