Topology optimization in the framework of the linear Boltzmann equation - a method for designing optimal nuclear equipment and particle optics

摘要

In this study, we describe a procedure of topology optimization in the framework of the linear Boltzmann equation, implemented using the reference Monte-Carlo particle transport code MCNP. This procedure can design complex structures that optimize the transport of particles, according to preset objectives and constraints. Although simple and perfectible, this procedure has been successfully tested on a series of difficult problems, with results outperforming human capabilities. Improved, it could be used to assist or automate the design of particle optics or nuclear devices.