Arbitrary bending of optical solitonic beam regulated by boundary excitations in a doped resonant medium

Bending of a shape-invariant optical beam is achieved so far along parabolic or circular curves. Borrowing ideas used in nonlinear optical communication, we propose such a bending along any preassigned curve or surface, controlled by the boundary population inversion of atoms in an Erbium doped medium. The optical beam generated in a nonlinear Kerr medium and transmitted through a doped resonant medium as an accelerating soliton predicted here, should be realizable experimentally and applicable to nonlinear events in other areas like plasma or ocean wave.