A Simple Expression for Radiation Dose Rate Distributions Around a Cylindrical Shell Source with a Finite Height

The radial dose rate distributions D(r_d) around a cask can be described well by the following relation: where H is the cask height, r_s is the radius of the cask surface, and r_d is the distance between the cask axis and the detector position. The quantity J is described by elliptic integrals of the first kind. This expression is a generating function for an empirical description of the r_d dependence of the radiation dose rate distributions around a cask.