Conceptual design of a magnetic bottle for positron containment

Magnetic confinement of positrons has been achieved in small scales, and the key to achieve better confinement is the design of compact and cost-efficient high field superconducting magnets. The paper describes a general algorithm to optimize a magnet design to match a pre-specified magnetic field profile needed to achieve confinement. The numerical model is used to calculate magnetic field, forces, and inductance for the superconducting magnetic bottle (magnetic mirror) based on simple solenoidal configurations. The model incorporates magnet stability and quench constraints in order to arrive at a feasible optimum design. A preliminary design for an experimental facility is presented.