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X-ray Interferometry for FCC-ee Beam Emittance Diagnostic

Detailed study on X-ray interferometry for beam diagnostic at FCC-ee accelerator, covering methods, parameters, spectrum, and extraction of X-rays from the ring. Includes insights into beam size, interferogram, K-edge filters, and total reflection mirrors. Proposal for testing at Australian Synchrotron's Imaging and Medical Beamline.

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X-ray Interferometry for FCC-ee Beam Emittance Diagnostic

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  1. X-ray interferomety for the FCC-ee Beam emittance (size) diagnostic T. Mitsuhashi and K. Oide KEK E. Bravin, G. Trad, F. Roncarolo and Frank Zinmmerman CERN Mark Boland ASC

  2. Parameters of FCC-ee

  3. Review for existing methods

  4. Angular diameter q a d Object locates having a size a at certain distance d Angular diameter is given by, q=a/d

  5. Beam in phase space and Angular divergence and spectrum of Synchrotron Radiation

  6. Beam profile in phase space b=20m a=2 a=1 a=0 Y’ (rad) Y (m)

  7. 175GeV r=11590.8m 0.1nm Divergence of beam Order of 10-7rad Divergence of SR Order of 10-5rad q in rad

  8. Expected spectrum from the bending magnet FCC-ee 45GeV 175GeV Brightness (photons / mrad2 1%bandwidth) Photon energy (keV)

  9. Character of bending magnet in FCC-ee 24.858m or 2.144mrad Bending angle of 2.144 mrad is 100 times larger than tail to tail opening of SR at 0.1nm (0.02mrad). So, this bend is classified as long magnet. SR and TR from magnet edge is week enough in X-ray region. Bending radius 11590.8m

  10. Extraction of hard X-rays from the ring Light source is assumed to the last bending magnet in Arc.

  11. Estimated vacuum duct 45-50mm

  12. 100m 24.858m 2.144mrad 50m 107.2mm 1.072mrad 53.6mm Geometrical condition for the extraction of SRfrom the last bending magnet Enough separation between orbit and extraction structure of the vacuum duct is necessary to escape from corrective effect. Some similar structure such as crotch absorber and branch optical beam line seems necessary to protect the crotch of the vacuum chamber from strong irradiation of SR. Bending radius 11590.8m

  13. X-ray interferometer

  14. K-edge filter Double slitD=20-few100mm, a=8mm Be-window 100m 50-100m Simple double slit X-ray interferometer (Young type)

  15. 175GeV r=11590.8m Double slit location We do not need selection of polarization Iv / Ih =0.016 D=300mm q in rad

  16. Double slit of interferometer will not miss the beam size information Divergence of SR Order of 10-5rad Divergence of beam Order of 10-7rad

  17. Spatial coherence vs. beam size D=300um, f=100m l=0.10nm g Beam size (mm)

  18. Expected interferogram for g=0.65 (beam size of 5mm at 100m) Double slit a=5um, D=300um f=100m Monochromatic l=0.1nm

  19. Quasi-monochromatic ray at 0.1nm

  20. Absorption of Krypton gas K-edge filter (1 atm, 100 mm pass). Krypton gas filter has a nice window around 10keV

  21. How to eliminate shorter wavelength component Using the critical angel of total reflection in X-ray

  22. Elimination of shorter wavelength component with total reflection mirror K-edge filter Double slitD=20-100mm, a=8mm g-ray 1.0-1.5deg Be-window Totally reflection mirror Length of 0.3m 100m 100m

  23. With quasi-monochromatic ray Kr gas filter 100mm Dl/l=20% Dl/l=50%

  24. Interference fringe which is observed by the simple Young type double slit interferometer has no reference baseline

  25. Escape from the shift in two optical axis Elliptically deformed total reflection mirror

  26. Interferogram by elliptically deformed total reflection mirror

  27. Double slit interferometer (Young type) with curved total reflection mirror (mechanically vended) K-edge filter Double slitD=20-100mm, a=8mm g-ray 1.0-1.5deg Be-window Totally reflection mirror Length of 1m 100m 100m

  28. K - edge filter Totally reflection mirror 1.0 - 1.5deg Be - window 100 m 100 m Since long distance between total reflection mirror to observation plane will enhance the geometrical aberrations of the mirror, following position seems better Double slitD=20-100mm, a=8mm few m

  29. Summery for FCC e-e 1. X-ray interferometer has a good resolution for 5mm beam size in FCC e-e with distance of 100m. 2. The system seems very simple, and easy to construction. 3. A similar system such as crotch absorber etc. are necessary to safety extraction of X-Rays. 4.Angle between beam duct and X-ray branch beam line is very small (1 mrad without total reflection mirror, 1deg with total reflection mirror) , some difficulty will be expected for duct design for example, connection flange.

  30. Comment for longitudinal and dynamical diagnostics Streak camera and fast gated camera for observation of bunch by bunch longitudinal dynamical observation. Visible SR beam line should be necessary. Heat deposit onto the SR extraction mirror is not so larger than existing SR machine, so we can use mirror design in SR facilities.

  31. The spatial-temporal measurement of beam dynamical behavior. Head-tail motion observed with the streak camera

  32. Turn by turn image of injected beam into storage ring

  33. Optimization of injection

  34. Proposal for Test of the X-ray interferometry at the Imaging and Medical beamline at the Australian Synchrtron

  35. Parameters at the Source Point on IMBL.

  36. Spectrum of SR at the Source Point on IMBL

  37. Possible configuration of X-ray interferometer at IMBL 31m

  38. A calculated interferogram for a 1.6 mm beam at 101 m downstream from the double slit. The double slit separation is 0.3mm

  39. Summary for Australian Synchrotron We can test the performance of X-ray interferometer by using the long-range IMBL beamline for medical imaging at Australian Synchrotron. We can locate the double slit at 31 m downstream from the source point, and another 109 m distance is available for the observation of the interferogram. The expected beam size is 1.6 mm to 16 mm. The corresponding angular diameter is 0.051 mrad, and this angular diameter is similar in the FCC-ee. We propose a test of the X-ray interferometer design on the IMBL beamline with a simultaneous cross check with the visible interferometer on the neighbouring ODB beamline at the Australian Synchrotron.

  40. Thank you very much for your attentions

  41. Measurement of beam size in the FCC-hh

  42. Parameters of FCC-HH

  43. Expected spectrum from the bending magnet FCC-HH at 50TeV Brightness (photons / mrad2 1%bandwidth) Frequency integrated power 217W / mrad at 50Tev Photon energy (keV)

  44. 50TeV r=11590.8m l=0.1nm

  45. 50TeV r=11590.8m l=500nm

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