compton camera david scraggs. code aims use two detectors in compton scattering experiment define...

Compton Camera

David Scraggs

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

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

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

General Cone

• After a great deal of fighting with matlab

Rotate Cones

• Euler rotation matrix defined as

Define Specific Cone

• Opening angle calculation relies upon experimental results from both detectors

Merge Cones and Detectors

Define Interaction in Space

Simple Back Projection with Multiple Cones

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Simple Back Projection with Multiple Cones

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Simple Back Projection with Multiple Cones

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