AN OPTIMUM SHADOW SHIELD

Abstract : The method of Lagrange multipliers is used to design an optimum shadow shield for an isotropic point source. An exponential absorption without multiple scattering is assumed valid within the shield. If the shape of the outer surface is chosen, the inner surface is determined for a given attenuation. Once all the constraints are established (position, attenuation, solid-angle) the derived shape has a minimum mass.