A New Numerical Technique for the Inverse Problem in Thomson Scattering and Its Application to Experimental and Synthetic Spectra

Guasp, J.; Castejón, F.; Pastor, I.; Alvarez‐Estrada, R. F.

doi:10.1080/15361055.2017.1320497

Cited by 1 publication

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“…In previous papers the authors have developed Monte Carlo and analytical methods for the ab-initio computation (in a classical framework, disregarding quantum effects) of TS spectra under very general conditions regarding the electron distribution function, as well as the intensity and the polarization of the incoming laser radiation, for plasma fusion diagnostic applications [24][25][26][27][28]. In the course of these investigations,…”

Section: Introductionmentioning

confidence: 99%

On the similarity between Thomson scattering from high-intensity circularly polarised lasers and synchrotron radiation

et al. 2018

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The mathematical similarity between Thomson Scattering (TS) and Synchrotron Radiation (SR) phenomena is elucidated, and some physical consequences are extracted from it. Analytical computations are reported in the frequency-and the time-domains so as to make this relationship more compelling. Algebraic equations for the relevant parameters implementing that similarity are obtained in the time-domain in their final form. Subsequently, those algebraic equations are numerically solved so as to make the connection available for a wide range of parameters in both phenomena. Prospects for a compact vacuum ultraviolet (VUV) or even x-ray source based on this analogy and using the interaction of high-intensity circularly polarized laser radiation with essentially monoenergetic electron beams are discussed. the close similarity of the temporal behaviour of radiated fields coming from TS from a circularly polarized laser (TSC) and Synchrotron Radiation (SR) has emerged. The present paper is devoted to a detailed investigation of this relationship.The similarity to be investigated below employs features of the SR phenomenon that are not quite common in modern laboratory applications of this effect, namely, out-of-the-orbital plane radiated fields in general and, perhaps more important, electron energies ranging from hundreds of keV up to some tens of MeV have to be used. This is to be compared with modern SR facilities, where energies in excess of several GeV are now standard. Also, the mathematical treatment of the SR below has included the presence of a component of the velocity/ momentum along the direction of the externally applied magnetic field (B 0 ), so that the general trajectory of the charged particle is a helix with axis parallel to B 0 , hence we shall refer to it as Helical Synchrotron Radiation (HSR). Various physical features of SR are well documented in the scientific literature (including in some cases helical trajectories): see [29][30][31][32], among others.The nonlinear interaction studies of ultra-intense lasers with energetic electrons have experienced a rapid increase over the last decade, driven by the availability of the former ones, which are now much more accesible and less bulky than a few years ago. In this connection, [33,34] represent two recent experimental milestones in this area of research, which are relevant for the problems dealt with in this paper, in particular [34], where very high order harmonics of the laser radiation are experimentally produced and studied. In these publications a more or less close connection between TS and SR is mentioned, without entering into a detailed comparison. Both phenomena deal with radiation from accelerated charges at relativistic energies, a major reason for the similarities. What is new in the present work (to the best of our knowledge) is the statement that if TS is performed with circularly polarized lasers, then, under some suitable conditions, the radiated fields for TSC and HSR in the time-domain have exactly the same form. Practical consequenc...

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