National Research Nuclear University « MEPhI » , Moscow

1. Workshop THz and X-ray, March 18-19, 2013, KEK National Research Nuclear University «MEPhI», Moscow Role of transversal size of bunches in soft X-ray Smith-Purcell radiation DariaSergeeva Alexey Tishchenko Mikhail Strikhanov

2. Workshop THz and X-ray, March 18-19, 2013, KEK General of Smith-Purcell radiation The theory of X-ray and UV radiation from the bunch! Possibility of noninvasive submicronbunch diagnostics 2 A.A. Tishchenko, A.P. Potylitsyn, M.N. Strikhanov, Phys. Rev. E (2004) A.A. Tishchenko, A.P. Potylitsyn, M.N. Strikhanov, Phys. Lett. A (2006)

3. Workshop THz and X-ray, March 18-19, 2013, KEK Polarization current method The polarization current density: The radiation field: A.P. Potylitsyn, M.I. Ryazanov, M.N. Strikhanov, A.A. Tishchenko, Diffraction Radiation from Relativistic Particles, Springer, 2010.

4. Workshop THz and X-ray, March 18-19, 2013, KEK Spectral- angular distribution

5. Workshop THz and X-ray, March 18-19, 2013, KEK Form-Factor cylindrical cross section of the bunch rectangular cross section of the bunch D.Yu. Sergeeva, A.A. Tishchenko, M.N. Strikhanov, Nucl. Instr. and Meth.B, 2013 (in print).

6. Workshop THz and X-ray, March 18-19, 2013, KEK Transition radiation h G.M. Garibian and Y. Shi X-ray Transition Radiation, 1983

7. Workshop THz and X-ray, March 18-19, 2013, KEK Diffraction radiation: incoherent form-factor

8. Workshop THz and X-ray, March 18-19, 2013, KEK Role coherent and incoherent form-factor (Fig.1) (Fig.2) (energy of KEK ATF) (energy of SLAC) (Fig.3) (energy of LUCX)

9. Workshop THz and X-ray, March 18-19, 2013, KEK Penetration depth in water and in biological materials (Fig.4) EUV 4 – 60 nm (300 –20 eV) Soft X-ray 1 - 4 nm (1000 –300 eV) Water Window 4.4 - 2.3 nm (0.28 -0.53 keV) Carbon Window 5 - 4.4 nm (0.25 -0.28 keV)

10. Workshop THz and X-ray, March 18-19, 2013, KEK Role coherent and incoherent form-factor (Fig.2) (Fig.1) (energy of SLAC) (energy of KEK ATF) (Fig.3) (energy of LUCX)

11. Workshop THz and X-ray, March 18-19, 2013, KEK Incoherent form-factor (Fig.5) (Fig.6)

12. Workshop THz and X-ray, March 18-19, 2013, KEK Incoherent form-factor rectangular cross section of the bunch (Fig.7) (Fig.8) (energy of KEK ATF)

13. Workshop THz and X-ray, March 18-19, 2013, KEK Incoherent form-factor cylindrical cross section of the bunch (Fig.9) (Fig.10) (energy of SLAC)

14. Workshop THz and X-ray, March 18-19, 2013, KEK Role of the bunch transverse size for incoherent form-factor X-Ray THz (Fig.11) (Fig.12) Optics (Fig.13)

15. Workshop THz and X-ray, March 18-19, 2013, KEK Possibility of noninvasive submicron bunch diagnostics I L C (Fig.15) (Fig.14)

16. Workshop THz and X-ray, March 18-19, 2013, KEK Possibility of noninvasive submicron bunch diagnostics C L I C (Fig.16) (Fig.17)

17. Workshop THz and X-ray, March 18-19, 2013, KEK Summary - Incoherent form-factor is proved to exist; uniform distribution is explored in detail and it is shown that parameters range is rather narrow; - Coherent form-factor depends on transversal size for . - The theory of Smith-Purcell radiation is developed for UV and X-ray frequency ranges, which is very important for noninvasive submicron beam diagnostics.

18. Thank youfor your attention!

21. Workshop THz and X-ray, March 18-19, 2013, KEK Incoherent form-factor

22. Workshop THz and X-ray, March 18-19, 2013, KEK Incoherent form-factor and transverse size of the bunch

23. Workshop THz and X-ray, March 18-19, 2013, KEK Incoherent form-factor and transverse size of the bunch

24. Workshop THz and X-ray, March 18-19, 2013, KEK Incoherent form-factor and transverse size of the bunch