Structured light refers to optical fields with tailored spatial, spectral, or polarization distributions. However, light fields being electromagnetic waves are constrained by Maxwell’s equations. Nonetheless, a wide range of topologically nontrivial structures can be created and exploited. For instance, we have demonstrated the existence of structured Gaussian beams with tailored symmetry structures, highly-focused fields to create textures with their three-dimensional polarization, and short pulses carrying phase and polarization singularities. This has been carried out in collaboration with M. A. Alonso and A. N. Vamivakas from the University of Rochester, USA, and M. R. Dennis from the University of Birmingham, UK.

  • S. Vo, R. Gutiérrez-Cuevas, M. A. Alonso, Closed forms for spatiotemporal optical vortices and sagittal skyrmionic pulses, J. Opt. 26 0956076 (2024). PDF • DOI
  • R. Gutiérrez-Cuevas, L. A. Alemán-Castañeda, I. Herrera, S. Brasselet, M. A. Alonso, Vectorial phase retrieval in super-resolution polarization microscopy, APL Photonics 9 026106 (2024). PDF • DOI
  • R. Gutiérrez-Cuevas, M. R. Dennis, M. A. Alonso, Ray and caustic structure of Ince-Gauss beams, New J. Phys. 26 013011 (2024). PDF • DOI
  • R. Gutiérrez-Cuevas, D. H. J. O’Dell, M. R. Dennis, M. A. Alonso, Exactly solvable model behind Bose-Hubbard dimers, Ince-Gauss beams, and aberrated optical cavities, Phys. Rev. A 107 L031502 (2023). PDF • DOI
  • R. Gutiérrez-Cuevas, M. A Alonso, Analytic treatment of nonparaxial full-Poincaré fields: singularity structure and trapping properties, J. Opt. 23 024005 (2021). PDF • DOI
  • R. Gutiérrez-Cuevas, E. Pisanty, Optical polarization skyrmionic fields in free space, J. Opt. 23 024004 (2021). PDF • DOI
  • R. Gutiérrez-Cuevas, M. A. Alonso, Platonic Gaussian beams: wave and ray treatment, Opt. Lett. 45 6759 (2020). PDF • DOI
  • R. Gutiérrez-Cuevas, S. A. Wadood, A. N. Vamivakas, M. A. Alonso, Modal Majorana Sphere and Hidden Symmetries of Structured-Gaussian Beams, Phys. Rev. Lett. 125 123903 (2020). PDF • DOI
  • R. Gutiérrez-Cuevas, M. R. Dennis, M. A. Alonso, Generalized Gaussian beams in terms of Jones vectors, J. Opt. 21 084001 (2019). PDF • DOI
  • T. Malhotra, R. Gutiérrez-Cuevas, J. Hassett, M. R. Dennis, A. N. Vamivakas, M. A. Alonso, Measuring Geometric Phase without Interferometry, Phys. Rev. Lett. 120 233602 (2018). PDF • DOI
  • R. Gutiérrez-Cuevas, N. J. Moore, M. A. Alonso, Lorenz-Mie scattering of focused light via complex focus fields: An analytic treatment, Phys. Rev. A 97 053848 (2018). PDF • DOI
  • R. Gutiérrez-Cuevas, M. A. Alonso, Complete confined bases for beam propagation in Cartesian coordinates, J. Opt. Soc. Am. A 34 1697 (2017). PDF • DOI
  • R. Gutiérrez-Cuevas, M. A. Alonso, Polynomials of Gaussians and vortex-Gaussian beams as complete, transversely confined bases, Opt. Lett. 42 2205 (2017). PDF • DOI
  • R. Gutiérrez-Cuevas, M. A. Alonso, Scalar and electromagnetic nonparaxial bases composed as superpositions of simple vortex fields with complex foci, Opt. Express 25 14856 (2017). PDF • DOI