Abstract:The dynamic spatial control of light fields is essential to a range of applications, from microscopy to optical micro-manipulation and communications. Here we describe the use of a single digital micro-mirror device (DMD) to generate and rapidly switch vector beams with spatially controllable intensity, phase and polarisation. We demonstrate local spatial control over linear, elliptical and circular polarisation, allowing the generation of radially and azimuthally polarised beams and Poincaré beams. All of these can be switched at rates of up to 4kHz (limited only by our DMD model), a rate ∼2 orders of magnitude faster than the switching speeds of typical phase-only spatial light modulators. The polarisation state of the generated beams is characterised with spatially resolved Stokes measurements. We also describe detail of technical considerations when using a DMD, and quantify the mode capacity and efficiency of the beam generation. The high-speed switching capabilities of this method will be particularly useful for the control of light propagation through complex media such as multimode fibers, where rapid spatial modulation of intensity, phase and polarisation is required. Alfano et al., "4 × 20 gbit/s mode division multiplexing over free space using vector modes and a q-plate mode (de) multiplexer," Opt. Lett. 40, 1980Lett. 40, -1983Lett. 40, (2015. 8. S. Popoff, G. Lerosey, R. Carminati, M. Fink, A. Boccara, and S. Gigan, "Measuring the transmission matrix in optics: an approach to the study and control of light propagation in disordered media," Phys. Rev. Lett. 104, 100601 (2010). 9. S. Bianchi and R. Di Leonardo, "A multi-mode fiber probe for holographic micromanipulation and microscopy," Lab Chip 12, 635-639 (2012). 10. T.Čižmár and K. Dholakia, "Exploiting multimode waveguides for pure fibre-based imaging," Nat. Commun. 3, 1027Commun. 3, (2012. 11. J. Carpenter, B. J. Eggleton, and J. Schröder, "110x110 optical mode transfer matrix inversion," Opt. Express 22, 96-101 (2014). 12. C. Maurer, A. Jesacher, S. Bernet, and M. Ritsch-Marte, "What spatial light modulators can do for optical microscopy,"Laser Photon. Rev. 5, 81-101 (2011 728-735 (2015). 33. W.-H. Lee, "Binary computer-generated holograms," Appl. Opt. 18, 3661-3669 (1979) 34. J. Courtial, "Self-imaging beams and the guoy effect," Opt. Commun. 151, 1-4 (1998). 35. R. Dorn, S. Quabis, and G. Leuchs, "Sharper focus for a radially polarized light beam," Phys. Rev. Lett. 91, 233901 (2003). 36. L. Allen, M. W. Beijersbergen, R. Spreeuw, and J. Woerdman, "Orbital angular momentum of light and the transformation of laguerre-gaussian laser modes," Phys. Rev. A 45, 8185 (1992). 37. E. Galvez, P. Crawford, H. Sztul, M. Pysher, P. Haglin, and R. Williams, "Geometric phase associated with mode transformations of optical beams bearing orbital angular momentum," Phys. Rev. Lett. 90, 203901 (2003). 38. J. Dyment, "Hermite-gaussian mode patterns in GaAs junction lasers," Appl. Phys. Lett. 10, 84-86 (1967). 39. T.Čižmár, M. Mazilu, and K. Dh...