reu capillary project report, august 13, 2010 chess & lepp reu capillary project report august...
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REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
REU Capillary Project Report REU Capillary Project Report August 13, 2010August 13, 2010
Tia Plautz, Mark Pfeifer, Tom Szebenyi, Gavrielle Untracht, Don Bilderback (Research Supervisor)
1. Introduction to monocapillary x-ray optics and elliptical focusing
2. Project Description3. Simulation Data
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
Overview of Capillary Optics and Elliptical Overview of Capillary Optics and Elliptical Focusing GeometryFocusing Geometry
Why do we need a capillary ? To make small beams and to increase the
beam intensity (flux/m2)
Why are capillaries an attractive option?
•Near 100% transmission•Large working distance (cm scale)•Divergence controlled by mathematical shape
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
Goals
1. To use the simulation to determine the effects and trends of three types of capillary defects:
2. To use the model to try to reconstruct the inner surface of a capillary
(a) Periodic Ripple (b) Banana-Type Curvature (c) Figure Error
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
MATLAB Simulation AlgorithmMATLAB Simulation Algorithm
•User specified information• capillary geometrical specs•desired defects•Source information (size and distance)•Number of rays to launch (terminates the while loop)
•Plots the desired capillary in a two dimensional plane
•Within the while loop•rays of random slope and y-intercept are launched from source•intersection of rays with capillary calculated using the fminsearch routine•Calculates the local slope at the intersection using 3 contiguous points and reflects the ray by the law of reflection•Information about displacement of the ray in the y plane in stored in cross-section arrays
•Plots ray distributions as histograms for specified cross sections
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
Sample ModelSample Model
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
Results
Curvature R=75m Curvature + rippleRipple A=15 nm, T = 3.33 mm
Ideal capillary
Rms=.03-.04 µmRms=.9 µm Rms= 2.2 µm Rms= 2.3 µm
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
Figure Error
Theoretical: (x=49.99, y=927.1)Observed: (x=49.99, y=934.9)
Calculated and Measured Diameter Profiles of G1_mr7f15_01
Calculated and Measured Diameter Profiles of G1_mr7f15_01
Length (mm)
Pro
file
dia
met
er (
mic
rons
)P
rofi
le d
iam
eter
(m
icro
ns)
Length (mm)
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
G1_mr7f15_01 Reconstructed
Curvature: R=68mRipple: amplitude = 20
nm, period = 4 mm
Curvature: R=68 mRipple: A=20nm, T=4 mm
figure error
Measured Specs: Spot size (x/z) = 4.9/5 µm
Focal length = 17 mmDivergence (x/z) = 5.95/6.35 mrad
Simulated Specs:Spot size RMS = 3.8 µmFocal Length = 17 mmDivergence = 5.6 mrad
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
Conclusions
•Curvature seems to contribute most to increasing the spot size of our capillaries. Data shows that unless we are able to increase our radius of curvature to R > 125 m for low amplitude ripple (amp<30 nm) we will not be able to achieve a spot size of 2.5 µm or less.
•Our current metrology for determining figure error is not sufficient for calculating the appropriate function. Work must be done in order to make our scanner more precise so that we can achieve more accurate scans.
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
Future Research
•Model APS Capillary (the highest resolution image we have) and try to reconstruct inner surface.
•Take 2D simulation with 1D output and extrapolate to a 3D simulation with 2D output
•Create a GUI and web interface
REU Capillary Project Report, August 13, 2010
CHESS & CHESS & LEPPLEPP
End
Thanks to Don Bilderback for advising my research and to Gavrielle Untracht for helping me learn MATLAB. CHESS is supported by the National Science Foundation and NIH-NIGMS via NSF grant DMR-0225180. Thanks also to
the NSF for providing funding via grant PHY-0849885 for my REU experience.