%0 Journal Article %A Rodrigo Martín-Romo, José Augusto %A Alieva Krasheninnikova, Tatiana %A Abramochkin, Eugeny %A Castro, Izan %T Shaping of light beams along curves in three dimensions %D 2013 %@ 1094-4087 %U https://hdl.handle.net/20.500.14352/33676 %X We present a method for efficient and versatile generation of beams whose intensity and phase are prescribed along arbitrary 3D curves. It comprises a non-iterative beam shaping technique that does not require solving inversion problems of light propagation. The generated beams have diffraction-limited focusing with high intensity and controlled phase gradients useful for applications such as laser micro-machining and optical trapping. Its performance and feasibility are experimentally demonstrated on several examples including multiple trapping of micron-sized particles. %~