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Vibrations effect on 1nm focussing. K. Evans-Lutterodt NSLS-II VTG Januaury 22 2007. Outline. Background and important optics metrics Simple optics layout How we see the source; some stability reqs More complex layout (Waveguide) Can we position with 1nm beam sufficient accuracy?.
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Vibrations effect on 1nm focussing K. Evans-Lutterodt NSLS-II VTG Januaury 22 2007
Outline • Background and important optics metrics • Simple optics layout • How we see the source; some stability reqs • More complex layout (Waveguide) • Can we position with 1nm beam sufficient accuracy?
Towards 1nm X-ray Optics Figure courtesy of C. Jacobsen • Future • It can be done: There is no physical reason we cannot get to 1nm • However, it will take resources and a targeted effort.
Basic Issues • Metrics • Numerical Aperture and resolution • Depth of field • Aperture • Efficiency • Chromaticity • Modulation Transfer Function Resolution of 1nm at l=1A requires NA < 0.1 If resolution is 1nm => then DOF =27nm
Simplest configuration Mono deleted for clarity
Order of magnitudes for stability ~ 10 microns(v) x 40 microns (h) Slit down in the horizontal to get 10 by 10. Demagnify by 104 to get 1nm. For a source to lens of 50m, this implies 5mm focal length. If you include details, we expect focal lengths of between 1 to 5mm (We would really like to get out to 100mm, but this is probably too tough, Aperture) Main point: Easy to integrate lens and sample stage monolithically.
Stability of e-beam is crucial for effective source size • Position of electron beam translates directly into stability of image. • Typical tolerance is 10% if e-beam size; 0.3microns?. • Angular stability? L Angular uncertainty ~ (0.3 microns/ 3 meter) ~ 1e-7 radians
How the stability comes in A: Size If sigma stability is 10%, then stability adds negligibly to size B: Intensity If you are measuring fluorescence intensity, and we assume a gaussian profile And we want to keep signal intensities within 1%: 1% criterion 5% criterian
Off-axis Abberrations Using zone plate as a guide: will have to revisit this in optics R&D Aberration angular field of view , , is given by Using N=1e5, F=0.1, =0.1nm 1e-3 radians which is much bigger than everything else so not a problem.
Main advantages of waveguide geometry • More stable, but more optics so more loss.( 4.7% experimental state of the art, but not optimal) • Wave guide provides new source size (50nm) • Allows better working distances • All fluctuations in position,angle translate to intensity fluctuations • Attempt to do normalization, not invented yet for small WD.
Can we position with 1nm accuracy? It is difficult, but possible. Worry about materials, and temperature control.
Timescales • Time scale : 1second /scan. • If normalization invented then stability to 1 second ok • If not ~2 hour full scan stability.