REU Capillary Project Report, August 13, 2010 CHESS & LEPP REU Capillary Project Report August 13, 2010 Tia Plautz, Mark Pfeifer, Tom Szebenyi, Gavrielle

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



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



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



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



Sample ModelSample Model



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







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)



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



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.



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



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.

Documents

REU Capillary Project Report, August 13, 2010 CHESS & LEPP REU Capillary Project Report August 13, 2010 Tia Plautz, Mark Pfeifer, Tom Szebenyi, Gavrielle