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Compton Camera
David Scraggs
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Code Aims
• Use two detectors in Compton scattering experiment
• Define cones from Compton interactions; cone surfaces define possible source locations
• Use intersecting cones to constrict source location
• Locate radiation sources in 3D space• Differentiate between multiple nuclides• Find best data analysis methods
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Compton Scattering
• Arthur Holly Compton gets Nobel in 1927 for:
• In which theta is a function of scattered photon energy
• Determination of photon energies defines a cone on which the source must lie
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Equation of a Cone
• Define an arbitrary cone in space
• A cone is a quadratic surface
• In Cartesian coordinates the implicit equation is given by;
• Where the c squared term is the cosine squared of the opening angle
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General Cone
• After a great deal of fighting with matlab
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Rotate Cones
• Euler rotation matrix defined as
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Define Specific Cone
• Opening angle calculation relies upon experimental results from both detectors
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Merge Cones and Detectors
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Define Interaction in Space
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Simple Back Projection with Multiple Cones
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Z = 43 plane
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Simple Back Projection with Multiple Cones
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Simple Back Projection with Multiple Cones
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