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X-ray interferomety for the FCC-ee

X-ray interferomety for the FCC-ee Self consistent analysis and proposal for testing using SuperKEKB X-ray monitor line T. Mitsuhashi, John Flanagan G. Mitsuka and K. Oide KEK Daniele Butti and Frank Zinmmerman CERN. Brief introduction for interferometry in comparison with imaging

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X-ray interferomety for the FCC-ee

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  1. X-ray interferomety for the FCC-ee Self consistent analysis and proposal for testing using SuperKEKB X-ray monitor line T. Mitsuhashi, John Flanagan G. Mitsuka and K. Oide KEK Daniele Butti and Frank Zinmmerman CERN

  2. Brief introduction for interferometry in comparison with imaging • X-ray Interferometer for FCC-ee • Self consistent evaluation of average wavelength from interference fringe • Proposal for Test of the X-ray interferometry at the X-ray monitor beamline in the SuperKEKB

  3. Introduction to interferometry in comparison with imaging in inverse space

  4. Input signal g0in inverse space, given byg0=F (I0 ) is equal to the spatial coherence g through Van Cittelt-Zernike’s theorem as follows; then g0= g . So, we can measure image in inverse space without OTF by interferomtry.

  5. Imaging with lens Optical transfer function, OTF (high cut filter) Interferometry input input output output No loss in the information H gi gi g0 g0 g0

  6. Imaging with lens Dx Dl1 Optical transfer function, OTF Interferometry input input output output H gi gi  g0 g0 g0 DI Df1/2

  7. X-ray Interferometer for FCC-ee

  8. 100m 24.858m 2.144mrad 50m 107.2mm 1.072mrad 53.6mm Geometrical condition for the extraction of SRfrom the last bending magnet Possible distance between the source point to optical element is about 100m, and it is 10 times longer than existing machine. 10 times higher resolution is necessary in the FCC-ee Bending radius 11590.8m

  9. K-edge filter Double slitD=20-few100mm, a=8mm Be-window 100m 100-200m Simple double slit X-ray interferometer (Young type)

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

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

  12. Important point Different from using visible light, we have no variety choice of monochrometer in x-ray region! We can use K-edge filter as about 20% bandwidth band-pass filter. By using this K-edge filter. Off course we can use the crystal monochrometer, but bandwidth is typically 10-4-5 with Si or Ge single crystal monochrometer. Great reduction of intensity and almost useless!

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

  14. Absorption of Krypton gas K-edge filter (1 atm, 100 mm pass). Due to less reliability for wavelength dependence of absorption of X-ray, Average wavelength is not precise! Krypton gas filter has a nice window around 10keV

  15. Self consistent evaluation of average wavelength from interference fringe.

  16. Since Interferometer is considered as equipment for measurement absolute value of wavelength historically. The period of interference fringe is dominated by average wavelength. So we can determine average wavelength from fringe period.

  17. Demonstration of evaluation for effective wavelength using interferogram data taken in LHC.

  18. Two interferogram measured at LHC

  19. Following fitting function for interferogram is used for evaluate effective wavelength. in here,

  20. Evaluated wavelength from 17 interferograms Average wavelength is 397nm +/-0.25% Average wavelength is 546nm +/-0.03%

  21. Proposal for Test of the X-ray interferometry at the X-ray monitor beamline in the SuperKEKB

  22. 0.5

  23. LER (Fuji straight section) 9.47m 31.8m Source Bend Optics Box Detector Box

  24. Source bending magnet

  25. Extraction point of X-ray from vacuum duct

  26. Downstream view of X-ray monitor line

  27. Making of Double slit with lithography of gold coating on Si base

  28. Very beautiful mask pattern for coded aperture with 20mm thickness Gold plate. We can achieve the contrast better than two and half order with this mask.

  29. K-edge filter Double slitD=20-few100mm, a=8mm Be-window 9.47m 31.85m Possible configuration of X-ray interferometer at SuperKEKB

  30. A calculated interferogram for SuperKEKB at 31.85m downstream from the double slit with monochromatic ray at 0.1nm. The double slit separation is 50mm, slit width with 8mm.

  31. A calculated interferogram for SuperKEKB at 31.85m downstream from the double slit with K-edge filter at 0.1nm.

  32. Summary for X-ray interferometer test in the SuperKEKB We can test the performance of X-ray interferometer by using the X-ray monitor beamline in the SuperKEKB All of equipments are already existing in X-ray monitor beamline except the double slit. We need to make double slit. We propose a test of the X-ray interferometer in X-ray monitor beamline at SuperKEKB with a simultaneous cross check with the X-ray coded aperture monitor and visible light interferometer.

  33. Thank you very much for your attentions!

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