On residual dose rate within particle accelerator enclosures

A mathematical proof of a theorem concerning the flux density of particles at any point interior to a simple closed convex surface in which the surface emits such particles uniformly and isotropically is presented. The relationship of this theorem, which is of rather general validity, to related observations of other workers is discussed. The ramifications of the theorem are considered with particular attention devoted to conditions commonly found at particle accelerators. It is concluded that results of this theorem are directly applicable to efforts to apply the principle of maintaining dose equivalents received by personnel as low as reasonably achievable.