title: A method for computing random chord length distributions in geometrical objects.
abstract: A method is described that uses a Monte Carlo approach for computing the distribution of random chord lengths in objects traversed by rays originating uniformly in space (mu-randomness). The resulting distributions converge identically to the analytical solutions for a sphere and satisfy the Cauchy relationship for mean chord lengths in circular cylinders. The method can easily be applied to geometrical shapes that are not convex such as the region between nested cylinders to simulate the sensitive volume of a detector. Comparisons with other computational methods are presented.
authors.affiliation: Department of Radiological Health Sciences, Colorado State University, Fort Collins 80523.
authors.forename: T B
authors.initials: TB
authors.lastname: Borak
mesh_terms: D009010:Monte Carlo Method; D010825:Physics / Q000379:methods*; D011827:Radiation; D011897:Random Allocation; D012542:Scattering, Radiation