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Diameter Dependency of the Radial Dose Distribution in a Long Polyethylene Cylinder

D Bakalyar

D Bakalyar1*, W Feng2 , S McKenney3 , (1,3) Henry Ford Health System, Detroit, MI, (2) New York Presbyterian Hospital, Tenafly, NJ


SU-F-18C-11 Sunday 4:00PM - 6:00PM Room: 18C

The radial dose distribution in the central plane of a long cylinder following a long CT scan depends upon the diameter and composition of the cylinder. An understanding of this behavior is required for determining the spatial average of the dose in the central plane. Polyethylene, the material for construction of the TG200/ICRU phantom (30 cm in diameter) was used for this study. Size effects are germane to the principles incorporated in size specific dose estimates (SSDE); thus diameter dependency was explored as well.

Assuming a uniform cylinder and cylindrically symmetric conditions of irradiation, the dose distribution can be described using a radial function. This function must be an even function of the radial distance due to the conditions of symmetry. Two effects are accounted for: The direct beam makes its weakest contribution at the center while the contribution due to scatter is strongest at the center and drops off abruptly at the outer radius. An analytic function incorporating these features was fit to Monte Carlo results determined for infinite polyethylene cylinders of various diameters. A further feature of this function is that it is integrable.

Symmetry and continuity dictate a local extremum at the center which is a minimum for the larger sizes. The competing effects described above can result in an absolute maximum occurring between the center and outer edge of the cylinders. For the smallest cylinders, the maximum dose may occur at the center.

An integrable, analytic function can be used to characterize the radial dependency of dose for cylindrical CT phantoms of various sizes. One use for this is to help determine average dose distribution over the central cylinder plane when equilibrium dose has been reached.

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