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 preserving its shape as an accelerating soliton, predicted here based on exact solutions, should be realizable experimentally and applicable to nonlinear events in other areas like plasma or ocean wave.