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REU Capillary Project Report, August 13, 2010 CHESS & LEPP REU Capillary Project Report August 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 Description 3.Simulation Data
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP Overview of Capillary Optics and Elliptical Focusing Geometry Why do we need a capillary ? To make small beams and to increase the beam intensity (flux/ m 2 ) Why are capillaries an attractive option? Near 100% transmission Large working distance (cm scale) Divergence controlled by mathematical shape
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP 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
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP MATLAB 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
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP Sample Model
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP Results Curvature R=75m Curvature + ripple Ripple A=15 nm, T = 3.33 mm Ideal capillary Rms=.03-.04 µm Rms=.9 µm Rms= 2.2 µm Rms= 2.3 µm
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP 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 Length (mm) Profile diameter (microns) Length (mm)
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP G1_mr7f15_01 Reconstructed Curvature: R=68m Ripple: amplitude = 20 nm, period = 4 mm Curvature: R=68 m Ripple: A=20nm, T=4 mm figure error Measured Specs: Spot size (x/z) = 4.9/5 µm Focal length = 17 mm Divergence (x/z) = 5.95/6.35 mrad Simulated Specs: Spot size RMS = 3.8 µm Focal Length = 17 mm Divergence = 5.6 mrad
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP 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.
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP 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
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REU Capillary Project Report, August 13, 2010 CHESS & LEPP 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.
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