Team : Thématiques

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Structured light ;
physical and geometrical properties

Principal investigator : Miguel A. Alonso

Keywords : structured light, propagation-invariant beams, birefringence, geometric phase, nonparaxial light, spin-orbit interaction, Mie scattering.

This work involves the study of optical fields whose spatial and/or temporal structure in amplitude, phase and/or polarization is tailored to present a specific set of properties. One such class of fields are the “propagation-invariant beams”, whose intensity profile is preserved under propagation up to a rigid transformation. These beams have been used in applications such as imaging with enhanced depth of focus, light-sheet microscopy, optical trapping, and nanofabrication. However, they are also interesting from a geometrical/mathematical point of view, and they often provide interesting analogies with phenomena in other areas of physics. In particular, the use of the ray model reveals otherwise hidden geometric constraints that rule the spatial structure of these beams.

Other areas of study include : paraxial and nonparaxial fields with interesting polarization distributions, as well as birefringent optical elements that can be used to generate these fields ; the theoretical description of such birefringence elements and the concept of geometric phase ; the interaction of polarization with intensity and orbital angular momentum for nonparaxial fields (spin-orbit interaction) ; nonparaxial closed-form solutions to Maxwell’s equations and their use to study the interaction of focused fields with spherical scatterers.

Publications

2019
Gaussian mode families for systems of rays
M.R. Dennis and M.A. Alonso
J. Phys. Photonics 1, 025003 (2019)
2018
Poincaré sphere representation for spatially varying birefringence
A. Vella and M.A. Alonso
Opt. Lett. 43, 379-382 (2018)
Lorenz-Mie scattering of focused light via complex focus fields : An analytic treatment
R. Gutiérrez-Cuevas, N.J. Moore, and M.A. Alonso
Phys. Rev. A 97, 053848 (2018)
Measuring geometric phase without interferometry
T. Malhotra, R. Gutiérrez-Cuevas, J. Hassett, N. Vamivakas, and M.A. Alonso
Phys. Rev. Lett. 120, 233602 (2018)
Birefringent distributions tailored for imaging and other applications
M.A. Alonso and A. Vella
17th Workshop on Information Optics (WIO), IEEE 1-3 (2018)
2017
Swings and roundabouts : Optical Poincaré spheres for polarization and Gaussian beams
M.R. Dennis and M.A. Alonso
Phil. Trans. R. Soc. A 375, 20150441 (2017).
Birefringent masks that are optimal for generating bottle fields
A. Vella, H. Dourdent, L. Novotny, and M.A. Alonso
Opt. Express 25, 9318-9332 (2017). Erratum, 25, 19654 (2017).
Ray-optical Poincaré sphere for structured Gaussian beams
M.A. Alonso and M.R. Dennis
Optica 4, 476-486 (2017).
The ultrasound needle pulse
K.J. Parker, S. Chen and M.A. Alonso
IEEE Ultrasonics, Ferroelectrics and Frequency Control 64, 1045-1049 (2017).
Polynomials of Gaussians and vortex-Gaussian beams as complete, transversely confined bases
R. Gutiérrez-Cuevas and M.A. Alonso
Opt. Lett. 42, 2205-2208 (2017).
Scalar and electromagnetic nonparaxial bases composed as superpositions of simple vortex fields with complex foci
R. Gutiérrez-Cuevas and M.A. Alonso
Opt. Express 25, 14856-14870 (2017).
Theory and applications of free-electron vortex states
J. Verbeeck, K.Y. Bliokh, I.P. Ivanov, L. Clark, R. Van Boxem, A. Béché, R. Juchtmans, G. Guzzinati, M.A. Alonso, P. Schattschneider, F. Nori
Phys. Rep.690, 1-70 (2017).
Complete confined bases for beam propagation in Cartesian coordinates
R. Gutiérrez-Cuevas and M.A. Alonso
J. Opt. Soc. Am. A 34, 1697-1702 (2017).

2016

Mie scattering of highly focused, scalar fields : an analytic approach
N.J. Moore and M.A. Alonso
J. Opt. Soc. Am. A 33, 1236-1243 (2016).
The longitudinal iso-phase condition and needle pulses
K.J. Parker and M.A. Alonso
Opt. Express 24, 28669-28677 (2016).

2014

Generation of nonparaxial accelerating fields through mirrors. I : two dimensions
M.A. Alonso and M.A. Bandres
Opt. Express 22, 7124-7132 (2014)
Generation of nonparaxial accelerating fields through mirrors. II : three dimensions
M.A. Alonso and M.A. Bandres
Opt. Express 22, 14738-14749 (2014).

2013

Three-dimensional accelerating waves
M.A. Bandres, M.A. Alonso, Ido Kaminer and Mordechai Segev
Opt. Express 21, 13917-13929 (2013).
Ray transfer matrix for a spiral phase plate
M. Eggleston, T. Godat, E. Munro, M.A. Alonso, H. Shi, M. Bhattacharya
J. Opt. Soc. Am. A 30, 2526-2530 (2013).
Analytical techniques for the study of focused beams
M.A. Alonso
Complex Light and Optical Forces VII conference, Photonics West, SPIE proceeding 8637, 863716 (2013).
Spin-orbit interactions (SOI) of light
K.Y. Bliokh, A. Aiello and M.A. Alonso
The Angular Momentum of Light, (Cambridge University Press, 2013), eds. D. Andrews and M. Babiker, pp. 174-245.
Basis expansions for monochromatic field propagation
M.A. Alonso and N.J. Moore
Mathematical Optics : Classical, Quantum, and Imaging Methods(CRC Press, 2013), eds. V. Lakshminarayanan, M.L. Calvo, and T. Alieva, pp. 97-141.

2012

Orthonormal basis for nonparaxial focused fields in two dimensions, and its application to modeling scattering and optical manipulation of objects
K. Lombardo and M.A. Alonso
Am. J. Phys. 80, 82-93 (2012).
Coherence vortices in Mie scattered partially coherent fields
M. Marasinghe, M. Premaratne, D. Paganin, and M.A. Alonso
Opt. Express 20, 2858-2875 (2012).
Full Poincaré beams II : Partial polarization
A.M. Beckley, T.G. Brown, and M.A. Alonso
Opt. Express 20, 9357-9362 (2012).

2011

The effect of orbital angular momentum and helicity in the uncertainty-type relations between focal spot size and angular spread
M.A. Alonso
J. Opt. 13, 064016 (2011).
Optimal pulses for arbitrary dispersive media
M.A. Alonso, T. Setälä, and A.T. Friberg
J. Eur. Opt. Soc. R.P. 6, 11035 (2011).
Spin-to-orbital angular momentum conversion in focusing, scattering, and imaging systems
K.Y. Bliokh, E.A. Ostrovskaya, M.A. Alonso, O.G. Rodríguez-Herrera, D. Lara, and C. Dainty
Opt. Express 19, 26132-26149 (2011).
Paraxial and nonparaxial polynomial beams and the analytic approach to propagation
M.R. Dennis, J.B. Götte, R.P. King, M.A. Morgan and M.A. Alonso
Opt. Lett.36, 4452-4454 (2011).
Angular momentum of light revisited : Spin-orbit interactions in free space
K.Y. Bliokh, M.A. Alonso, and E.A. Ostrovskaya
Complex Light and Optical Forces V, SPIE Proceedings 7950, 1-8 (2011).
Full Poincaré beams
M.A. Alonso, A.M. Beckley, and T.G. Brown
22nd Congress of the International Commission for Optics : Light for the Development of the World, SPIE Proceedings 8011, 80111M (2011).
Mie scattering for high numerical aperture fields
N.J. Moore and M.A. Alonso
22nd Congress of the International Commission for Optics : Light for the Development of the World, SPIE Proceedings 8011, 801162 (2011).
Angular momenta and spin-orbit interaction for nonparaxial beams
M.A. Alonso and K.Y. Bliokh
22nd Congress of the International Commission for Optics : Light for the Development of the World, SPIE Proceedings 8011, 80116H (2011).

2010

Two methods for modeling the propagation of the coherence and polarization properties of nonparaxial fields
J.C. Petruccelli, N.J. Moore, and M.A. Alonso
Opt. Commun.283, 4457-4466 (2010).
Airy Beams : A geometric optics perspective
S. Vo, K. Fuerschbach, K.P. Thompson, M.A. Alonso, and J.P. Rolland
J. Opt. Soc. Am. A 27, 2574-2582 (2010).
Full Poincaré beams
A.M. Beckley, T.G. Brown, and M.A. Alonso
Opt. Express 18, 10777-10785 (2010).
Angular momenta and spin-orbit interaction for nonparaxial light in free space
K.Y. Bliokh, M.A. Alonso, E.A. Ostrovskaya, and A. Aiello
Phys. Rev. A 82, 036825 (2010).
Methods for modeling nonparaxial fields
J.C. Petruccelli, N.J. Moore, and M.A. Alonso
Proceedings of the 9th Euro-American Workshop on Information Optics, IEEE proceeding 10.1109/WIO.2010.5582523 (2010).