Single‐particle trajectory calculations have been used to study the effectiveness of beam concentration near a target pellet in two relativistic electron‐beam‐driven inertial fusion concepts: magnetic cusps and multiple current‐carrying channels in a wagon‐wheel configuration. Angular momentum constraints favor the multichannel transport scheme. The role of angular momentum nonconserving reflections from plugged‐cusp loss cones is discussed. Minimum radii are calculated for various injection conditions in a 40‐channel configuration. The resulting superposition of beams may provide an order‐of‐magnitude improvement in beam concentration over single‐beam results.