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FIAS Scientific Report 2011 - Frankfurt Institute for Advanced Studies ...

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Novel light sources: Crystalline undulator and crystalline-undulator–based gamma-laser<br />

Collaborators: A. Kostyuk 1 , A.V. Korol 1 , A.V. Solov’yov 1 , W. Greiner 1 , H. Backe 2 , W. Lauth 2 , U. Uggerhoj 3 ,<br />

V. Guidi 4<br />

1 <strong>Frankfurt</strong> <strong>Institute</strong> <strong>for</strong> <strong>Advanced</strong> <strong>Studies</strong>, 2 Johannes Gutenberg-Universität Mainz, Germany 3 Aarhus University, Den-<br />

mark, 4 Ferrara University, Italy<br />

Short description:<br />

Investigation of the feasibility of constructing a new powerful source of high-energy (¯hω ∼ 0.1 − 1 MeV)<br />

monochromatic electromagnetic FEL-like radiation by a bunch of ultra-relativistic particles channelling through<br />

a periodically bent crystal (crystalline undulator, CU). Potential applications include plasma, nuclear and solid<br />

state physics, molecular biology, medicine and technology.<br />

Main results:<br />

• A patent <strong>for</strong> a hard x- and gamma-ray laser has been published [1]. It combines a CU with a conventional<br />

undulator. A beam of ultrarelativistic charged particles becomes spatially modulated in the conventional undulator<br />

so that it contains a harmonic with a period equal to the wavelength of the radiation of the CU. Due to this<br />

harmonic, the radiation process in the CU becomes coherent.<br />

• A simulation of 855 MeV electron channeling of in Silicon<br />

has been per<strong>for</strong>med with a new computer code. The<br />

dechanneling lengths <strong>for</strong> (100), (110) and (111) crystallographic<br />

planes have been estimated. The dependence of<br />

the intensity of the channeling radiation (ChR) on the crystal<br />

dimension along the beam has been calculated. A good<br />

agreement with recent experimental data is observed [2].<br />

• The behaviour of a modulated positron beam in a planar<br />

crystal channel is investigated. The evolution of the particle<br />

distribution is described by means of the Fokker-Planck<br />

equation. A detailed analysis of the equation has been<br />

per<strong>for</strong>med. It is demonstrated that the beam preserves its<br />

modulation at sufficiently large penetration depths which<br />

allows using a crystalline undulator as a coherent source of<br />

hard x- and γ-rays. This result is of crucial importance <strong>for</strong><br />

the theory of the CU based γ-laser [3].<br />

Nph (0.4 MeV

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