Feasibility of X-ray Cherenkov Diffraction radiation for beam diagnostics of linear accelerators

1. Feasibility of X-ray Cherenkov Diffraction radiationfor beam diagnostics oflinear accelerators A.S. Konkov, A.P. Potylitsyn, A.S. Gogolev, Tomsk Polytechnic University P.V. Karataev, JAI at Royal Holloway, University of London

2. R(t) O z(t) Introduction Cherenkov Radiation is generated whenever the charged particle velocity is larger than the phase velocity of light Is there Cherenkov radiation in X-ray region?

3. Carbon Dielectric Permittivity η K-edge −δ

4. Geometry X-Ray ChTR X-Ray ChDR

5. Theoretical Approach The theoretical approach is based on the method of polarization currents. For a non-magnetic medium the density of the polarization currents in a right hand side of the Maxwell’s equations where conductivity is The field of the Polarization Radiation (PR) emitted by medium atoms excited (polarized) by the external field of the passing particle moving rectilinearly and with constant velocity in a substance (or in its vicinity) can be represented as a solution of Maxwell equations

6. X-Ray Cherenkov Transition Radiation WEPF36 http://ibic2013.org/prepress/html/sessi0n.htm

7. Intensity vs observation angle θ and thickness d γ = 240 ћω = 284 eV α = 0 φ = π

8. Intensity vs observation angle θ and thickness d γ = 10 ћω = 284 eV α = 0 φ = π

9. Oblique Incidence ChR TR γ = 24, ћω = 284 eV, d = 5 μm, α = 5°, φ = π

10. X-Ray Cherenkov Diffraction Radiation

11. Intensity vs observation angle θ and thickness d γ = 240 ћω = 284 eV α = 0 h = 1 μm φ = π

12. Intensity vs observation angle θ and thickness d γ = 10 ћω = 284 eV α = 0 h = 0.1 μm φ = π

13. Intensity vs observation angle θ for different photon energies γ = 240 d = 5 μm α = 0 h = 1 μm φ = π

14. Intensity vs observation angle θ for different electron energies d = 5 μm α = 0 h = 0.1 μm φ = π

15. Oblique Incidence DR ChR γ = 240, ћω = 284 eV, d = 5 μm, α = 3°, h = 1 μm, φ = π

16. Intensity vs observation angle θ for different incidence angles γ = 240 ћω = 284 eV d = 5 μm h = 1 μm φ = π

17. Conclusion • The model based on Polarization Current method agrees with other models for given beam parameters and approximations; • The Cherenkov Radiation is highly monochromatic in X-ray wavelength range; • The Angular distribution can be used to measure the beam energy with 10% accuracy; • In the energy range ofγ> 100 the Polarization Radiation can be used to determine the beam angular divergence; • A real application for beam diagnostics is yet to be estimated!

18. Thank you for your attention!