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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Januaury 22 2007
Figure courtesy of C. Jacobsen
Resolution of 1nm at l=1A requires NA < 0.1
If resolution is 1nm
=> then DOF =27nm
Mono deleted for clarity
~ 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.
Angular uncertainty ~ (0.3 microns/ 3 meter) ~ 1e-7 radians
If sigma stability is 10%, then stability adds negligibly to size
If you are measuring fluorescence intensity, and we assume a gaussian profile
And we want to keep signal intensities within 1%:
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.
It is difficult, but possible.
Worry about materials, and temperature control.