Rodrigo Martín-Romo, José AugustoAlieva Krasheninnikova, TatianaAbramochkin, EugenyCastro, Izan2023-06-192023-06-192013-09-091094-408710.1364/OE.21.020544https://hdl.handle.net/20.500.14352/33676© 2013 Optical Society of America. The Spanish Ministerio de Economía y Competitividad is acknowledged for the project TEC2011-23629.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.spajournal articlehttp://dx.doi.org/10.1364/OE.21.020544http://www.opticsinfobase.orgopen access535OpticsÓptica (Física)2209.19 Óptica Física