7 December 2006 Radiation of a relativistic electron in a periodically inhomogeneous medium
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Proceedings Volume 5974, International Conference on Charged and Neutral Particles Channeling Phenomena; 59740U (2006) https://doi.org/10.1117/12.640013
Event: International Conference on Charged and Neutral Particles Channeling Phenomena, 2004, Rome, Italy
Abstract
The problem of hard transition radiation (HTR) produced by relativistic charged particle passing through periodically inhomogeneous medium with uniform velocity has been solved. Due to the medium inhomogeneities the phase of radiation vector potential varies periodically with amplitude growing. The application of approximation methods for solving the given problem shows that this amplitude is constant; the existing resonance condition between the radiation frequency and angle undergoes essential changes. This, in turn, changes the spectral distribution characteristics. The principle of harmonics equivalence in HTR is revealed. This principle says that the frequency distribution of radiation intensity is the same for different harnionics. For strongly inhomogenous medium frequency intervals of harmonics are overlapped. Consequently the HTR total intensity does not depend upon frequency up to the critical frequency. It is several orders higher as it was assume in former conceptions. The frequency distribution varies inversely with particle energy squared. On the other side the energy of photons at the critical frequency grows quadratically with the particle energy. Therefore, the energy losses do not depend on the particle energy, but under certain conditions can be of the same order as its energy.
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Lekdar A. Gevorgian, Lekdar A. Gevorgian, } "Radiation of a relativistic electron in a periodically inhomogeneous medium", Proc. SPIE 5974, International Conference on Charged and Neutral Particles Channeling Phenomena, 59740U (7 December 2006); doi: 10.1117/12.640013; https://doi.org/10.1117/12.640013
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