Diffraction Enhanced X-ray Imaging (DEI) Benjamin Reinhart Physics 570 Final Presentation December 6 th, 2013

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1 Diffraction Enhanced X-ray Imaging (DEI) Benjamin Reinhart Physics 570 Final Presentation December 6 th, 2013

2 Bullet Points of Presentation Radiography vs. Diffraction Enhanced Imaging (DEI) Basic Principles of DEI Absorption Refraction Scattering Extracting Image Data Extinction (Scatter Rejection) Refraction Scattering Applications

3 Radiography vs. DEI Detector Conventional Setup Object Monochromator X-rays Detector DEI Setup Analyzer Object Monochromator X-rays

4 Detector Conventional Setup Object Monochromator X-rays

5 Detector Conventional Setup Object Monochromator X-rays Absorption

6 Detector DEI Setup Analyzer Object Monochromator X-rays Absorption

7 Detector DEI Setup Analyzer Object Monochromator X-rays Scattering Refraction

8 Detector DEI Setup Analyzer Object Monochromator X-rays Rocking Curve What makes DEI different from conventional radiography? Intensity [Arb. units] The Analyzer Crystal used to create a rocking curve (micro-radian width) From the Rocking Curve the Principles of DEI can be extracted angle [urad] Here is how it works.

9 Detector DEI Setup Analyzer Object Monochromator X-rays Intensity [Arb. units] Rocking Curve Conventional Radiograpy uses the Recorded Intensity to get an image, variation in intensity gives a contrast. Scattering components (I, C) and Small-angle scattering (D) lead to a loss in contrast as well as spatial resolution. Refraction (R) is lost angle [urad]

10 Detector DEI Setup Analyzer Object Monochromator X-rays Rocking Curve DEI (analyzer crystal) preserves many of these components and takes advantage of them. Intensity [Arb. units] Small-angle scattering (D) is mostly eliminated due to the xstal rejecting all angles above the microradian range. Imaged objects are usually in milliradian range well above the crystal optics Refraction (R) is all that is left and can be separated angle [urad]

11 DEI there are two images taken. Each side of the rocking curve. Apparent absorption and refraction information. Intensity diffracted by analyzer crystal I(B) Darwin Width

12 Reflectivity of the analyzer crystal For small values of Δθz using Taylor Series approximation for Reflectivity of the analyzer.

13 Intensity of the Images can be calculated for the left side and right side of the rocking curve. Solving these two equations for Extinction and Refraction.

14 Intensity of the Images can be calculated for the left side and right side of the rocking curve. Solving these two equations for Refraction and Extinction. The algorithm can be applied to each pixel from both sides of the rocking curve to form the DEI images.

15 Extracting Image Data Extinction Rocking Curve Intensity [Arb. units] angle [urad] Based only on the absorption properties of the object. Refraction and Small Angle Scattering are eliminated.

16 Extracting Image Data Refraction Rocking Curve Intensity [Arb. units] angle [urad] Based only on the Refraction properties of the object. Extinction and Small Angle Scattering are eliminated.

17 Extracting Image Data Scattering Rocking Curve Intensity [Arb. units] angle [urad] Based only on the scattering properties of the object. Refraction and Extinction are eliminated.

18 Applications Mammography

19 Applications Mammography

20 The Future and Thanks Lab based machines (mammograms/children) CT Imaging with Refraction Dean Chapmann, Zhong Zhong Inventors of the method US Army Grant funding the research NSLS/DOE research location Questions?

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