Abstract
(Received 13 August 2004; published 31 March 2005)Closed analytical formulas describing the parameters of x rays, generated in Compton backscattering oflaser pulse and electron beam, such as total yield and temporal duration of the x-ray pulse are presented.Despite the fact that maximal yield is attainable at the head-on collisions and the analytical expressions forthis specific case were derived, for some technological reasons in the Compton sources, the head-oncollision is not acceptable. In ‘‘laser wire’’ monitors the laser beam crosses the electron bunch at the rightangle. A model comprising the ellipsoidal laser and electron bunches with tri-Gaussian density distribu-tion is considered. For this model, the total yield of x-ray quanta and temporal duration is derived asfunctions of the (arbitrary) crossing angle and geometric dimensions of both the bunch and the pulse. As isshown, the yield is maximal for the head-on collision. With increase in the collision angle, the yielddiminishes with rate determined by dimensions of the bunches. Duration of the x-ray pulse behaves in asimilar way; minimal duration is attained near the back-on collisions.
Highlights
For these and similar applications, major figures of merit are the total yield and the temporal duration if ultrashort x-ray pulses are required
Despite the fact that maximal yield is attainable at the head-on collisions and the analytical expressions for this specific case were derived, for some technological reasons in the Compton sources, head-on collisions are not acceptable
The closed analytical expressions for the yield of secondary x-ray quanta and for the x-ray pulse duration observed along the electron bunch trajectory were derived
Summary
Backscattering of a high intensity laser pulse with a bunch of relativistic electrons is a promising method for producing bright short x-ray radiation pulses within a compact facility —Compton sources [1,2]. This process is applied for the nondestructive monitoring of electron beams—in the ‘‘laser wire’’ monitors [3]. Based on a model of ellipsoidal laser and electron bunches colliding at an arbitrary angle, analytical formulas have been derived. A closed analytical formula describing the total x-ray yield for arbitrary collision angle, electron energy, and geometry is derived. The paper is concluded with a survey of the main results and discussion on applicability of them
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