Sources of undulator radiation (Theory, Experiment, Applications)

Alferov, D. F.; Bashmakov, Yu.A.; Belovintsev, K.A.; Bessonov, E. G.; Cherenkov, P.A.

doi:10.1070/pu1979v022n05abeh005502

Cited by 35 publications

(51 citation statements)

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“…In order to make a connection with some of the examples below, in the quantum theory, consider the particular but familiar case of a head-on collision between an electron and a monochromatic, circularly polarized field 1 ; in the frame where k μ ¼ ω u ð0; 0; 0; 1Þ μ this is the field of a helical wiggler [38]. In this case s is constant,…”

Section: Classical Dynamics: Lightlike Vs Spacelike Field Dependmentioning

confidence: 99%

Classical and quantum particle dynamics in univariate background fields

2016

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We investigate deviations from the plane wave model in the interaction of charged particles with strong electromagnetic fields. A general result is that integrability of the dynamics is lost when going from lightlike to timelike or spacelike field dependence. For a special scenario in the classical regime we show how the radiation spectrum in the spacelike (undulator) case becomes well-approximated by the plane wave model in the high-energy limit, despite the two systems being Lorentz inequivalent. In the quantum problem, there is no analogue of the WKB-exact Volkov solution. Nevertheless, WKB and uniform-WKB approaches give good approximations in all cases considered. Other approaches that reduce the underlying differential equations from second to first order are found to miss the correct physics for situations corresponding to barrier transmission and wide-angle scattering.

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Section: Classical Dynamics: Lightlike Vs Spacelike Field Dependmentioning

confidence: 99%

Classical and quantum particle dynamics in univariate background fields

2016

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“…This is not practical for 15 MeV polarized electrons. Among electron spin polarimetry methods, spin polarimetry by undulator synchrotron radiation seems promising [4], [5], [6], [7], [8], since:…”

Section: Spin Polarimetry For the Eedmmentioning

confidence: 99%

Undulator Spin Polarimetry for the “precursor” storage ring eEDM experiment

Luccio

2014

EPJ Web of Conferences

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Abstract. In a precursor eEDM experiment to the proton EDM, spin polarimetry based on undulator radiation is proposed. The EDM storage ring experiment(s)We plan a storage ring based experiment (100 M$) to measure with an accuracy of 10 −29 e-cm the electric dipole moment (EDM) of the proton. In a second "precursor" storage ring experiment we propose to measure the electric dipole moment of the electron. The eEDM ring will be smaller and much less expensive than the pEDM ring and might be constructed first.The e-ring will also be useful as a model to test the not-so-well known accelerator physics of an electric storage ring.In the pEDM we will use polarized protons at the "magic" (see next) momentum of 0.7 Gev/c. In the precursor eEDM, polarized electrons at the "magic" momentum of 15 MeV/c. The EDM will be measured by spin polarimetry.The rings will be strictly electrostatic (no magnets). At the magic momentum, in absence of magnetic fields, the spin direction will remain "frozen" in its direction at injection (longitudinal) and the EDM will be measured as proportional to a small vertical component of the spin that will gradually appear. Interested people may check another parallel talk to this Conference[1]. Synchrotron radiation and spin polarimetryIt was suggested[2] that synchrotron radiation by polarized particles in an accelerator will show an extra tail. This effect was finally measured on electrons [3]. SR is due to the radiation by an accelerated charged particle (in particular, oscillating.) The tail is due to the radiation of an oscillating momentum. It is a second order radiation field. This component of SR goes with the inverse square of the mass of the particle, so it is much weaker for protons than for electrons.It seems already promising to do spin polarimetry by ordinary wide-spectrum SR, however there are better news. If one enhances synchrotron radiation using an undulator in the ring (say electrostatic to preserve the magic condition), SR becomes more intense, more coherent and, very important, shows a line spectrum. It turns out that the monopole and the dipole spectral lines have opposite polarization.

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“…A W ≅4.1α´ω L K 2 /(2+K 2 ) is the energy spontaneously radiated by a single electron passing through the wiggler [134], where α is the fine structure constant, and ω L =2πc/λ L . The coefficient, η emit ≈0.7, accounts for the non-zero electron beam size [4,29].…”

Section: Vi1 Generation Of Femtosecond Synchrotron Pulsesmentioning

confidence: 99%