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Geometric Spin Hall Effect of Light

Geometric Spin Hall Effect of Light. Andrea Aiello , Norbert Lindlein, Christoph Marquardt, Gerd Leuchs. MPL Olomouc, June 24, 2009. OAM. SAM. Optical angular momentum and spin-orbit coupling.

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Geometric Spin Hall Effect of Light

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  1. Geometric Spin Hall Effect of Light Andrea Aiello, Norbert Lindlein, Christoph Marquardt, Gerd Leuchs MPLOlomouc, June 24, 2009

  2. OAM SAM Optical angular momentum and spin-orbit coupling • A suitably prepared beam of light may have both a spin and an orbital angular momentum (SAM and OAM). • SAM  circular polarization • OAM  spiraling phase-front • SAM and OAM may be coupled! L. Allen, M. W. Beijersbergen, R. J. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185, (1992) http://www.physics.gla.ac.uk/Optics/play/photonOAM/

  3. Spin Hall effect of light This effect is also known as Imbert-Fedorov shift Onur Hosten and Paul Kwiat, Science 319, 787-790 (2008)

  4. Geometrodynamics of spinning light K. Y. Bliokhet al. Nature Photon. 2, 748–753 (2008).

  5. Geometric spin Hall effect of light z y y’ z’ x x’ A. Aiello, N. Lindlein, C. Marquardt, G. Leuchs, arXiv:0902.4639v1[quant-ph] (2009).

  6. Questions • What is the physical origin of such a shift? • Is this shift measurable?

  7. z y x Reminder: Helicity of light helicity

  8. Time-averaged linear and angular momentum densities (per unit of volume) = Poynting vector = energy density flux Linear and angular momentum of light Total linear and angular momenta

  9. Linear and angular momentum of light per unit length Transverselinear momentum Transverseangular momentum

  10. Centroid (barycenter) of the intensity distribution

  11. Angular momentum-vs-transverse shift

  12. z y z’ x Geometric Spin Hall Effect of Light at z = 0 helicity

  13. Questions • What is the physical origin of such a shift? • Is this shift measurable?

  14. The answer is: YES, but…. • Many detectors are sensitive to the electric field energy density rather than Poynting vector flux, • Such energy density contains the contributions given by the three components (x,y,z) of the electric field: • The flux of the Poynting vector across the observation plane contains the contributions given by the two transverse components (x,y) of the electric field only:

  15. In practice, it will be sufficient to use a polarizer (non tilted!) in front of the detector to attenuate either or in order to measure a non-zero shift. • The difference between energy density and linear momentum distributions is also relevant, e.g., in atomic beam deflection experiments: Observation plane

  16. Conclusions • When a circularly polarized beam of light is observed from a reference frame tilted with respect to the direction of propagation of the beam, the barycenter of the latter undergoes a shift comparable with the wavelength of the light • Extensive numerical simulations performed with the program POLFOCUS agree very well with analytical predictions for well collimated beams not too close to grazing incidence

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