On the Critical Problem for a Two-region Sphere*
نویسندگان
چکیده
Abstract-The one-speed critical problem is solved for a two-region sphere, where the total cross section is common, but different multiplication parameters in the two zones are permitted. A transform procedure is used to reduce the integral transport equation to a pseudo problem in slab geometry. This, in turn, is solved by Case’s method of normal modes. The analysis leads to a Fredholm integral equation for the only unknown expansion coefficient. In addition, a critical condition, from which the allowable parameters of the problem are to be determined, is obtained.
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