A Circular Nanoslit as aSpin-to-Orbital AngularMomentum ConverterPhilip ChimentoGert ‘t HooftEric Eliel
Suspiciousbehavior insubwavelengthslits
Slit in a metal filmChimento, Kuzmin, Bosman, et al. (2011). Opt. Expr. 19 (24), 24219.
Slit in a metal film   Subwavelength                 “Infinite” in the other  in one directionChimento, Kuzmin, Bosman, et...
Almost ideal metalTM      TE                                           Slit width in λChimento, Kuzmin, Bosman, et al. (20...
Real metalTM      TE                                          Slit width in λChimento, Kuzmin, Bosman, et al. (2011). Opt....
Real metal                     Input state                 Analyzer rotation                     Measured output    If des...
We roll the slit up                       into a circlePhoto credit: Dandelion And Burdock, Flickr
Space-variant λ/4 plate
Space-variant λ/4 plate                    TE               TM         TM          TE
Space-variant λ/4 plateInput: circular p                  olarization          σ+ state
Space-variant λ/4 plate                    Output: ?
Transmitted polarization state       Schematic
Transmitted intensity Experiment
Transmitted polarization state      Experiment                        Left-handed elliptical                        Right-...
Where did the spin      angular momentum            disappear to?Photo credit: Cayusa, Flickr
Cylindrical symmetry means no angular momentum is  transferred to the plate                   Photo credit: pixaio, sxc.hu
Fascinating!What does the far field      look like?
AngleAngle                                 Far field        Intensity (arb. units)
Far field         No hole in                              Intensity (arb. units)        the middle!Angle                  ...
Far field Component with the same        Component with oppositehandedness as the input (σ+)   handedness to the input (σ−)
Phase of central spot Component with the same        Component with oppositehandedness as the input (σ+)   handedness to t...
A proper calculation                                                             +, =   +,    =    mode                  c...
A proper calculation                                                             +, =   +,    =    mode        = +        ...
A proper calculation                                                               +, =   +,    =     mode        = +     ...
We found,constructed, andunderstood a novelspin-to-orbit angularmomentum couplingdevice.
Orbital angular momentum   ⟨Jspin ⟩ = 0              ̵  ⟨Jorbit ⟩ = h
A Circular Nanoslit as a Spin-to-Orbital Angular Momentum Converter
A Circular Nanoslit as a Spin-to-Orbital Angular Momentum Converter
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A Circular Nanoslit as a Spin-to-Orbital Angular Momentum Converter

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Scientific talk I gave at Physics@FOM Veldhoven 2012

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A Circular Nanoslit as a Spin-to-Orbital Angular Momentum Converter

  1. 1. A Circular Nanoslit as aSpin-to-Orbital AngularMomentum ConverterPhilip ChimentoGert ‘t HooftEric Eliel
  2. 2. Suspiciousbehavior insubwavelengthslits
  3. 3. Slit in a metal filmChimento, Kuzmin, Bosman, et al. (2011). Opt. Expr. 19 (24), 24219.
  4. 4. Slit in a metal film Subwavelength “Infinite” in the other in one directionChimento, Kuzmin, Bosman, et al. (2011). Opt. Expr. 19 (24), 24219.
  5. 5. Almost ideal metalTM TE Slit width in λChimento, Kuzmin, Bosman, et al. (2011). Opt. Expr. 19 (24), 24219.
  6. 6. Real metalTM TE Slit width in λChimento, Kuzmin, Bosman, et al. (2011). Opt. Expr. 19 (24), 24219.
  7. 7. Real metal Input state Analyzer rotation Measured output If designed carefully,there is a point where theslit is a quarter-wave plateChimento, Kuzmin, Bosman, et al. (2011). Opt. Expr. 19 (24), 24219.
  8. 8. We roll the slit up into a circlePhoto credit: Dandelion And Burdock, Flickr
  9. 9. Space-variant λ/4 plate
  10. 10. Space-variant λ/4 plate TE TM TM TE
  11. 11. Space-variant λ/4 plateInput: circular p olarization σ+ state
  12. 12. Space-variant λ/4 plate Output: ?
  13. 13. Transmitted polarization state Schematic
  14. 14. Transmitted intensity Experiment
  15. 15. Transmitted polarization state Experiment Left-handed elliptical Right-handed elliptical Ellipticity <10%
  16. 16. Where did the spin angular momentum disappear to?Photo credit: Cayusa, Flickr
  17. 17. Cylindrical symmetry means no angular momentum is transferred to the plate Photo credit: pixaio, sxc.hu
  18. 18. Fascinating!What does the far field look like?
  19. 19. AngleAngle Far field Intensity (arb. units)
  20. 20. Far field No hole in Intensity (arb. units) the middle!Angle Angle
  21. 21. Far field Component with the same Component with oppositehandedness as the input (σ+) handedness to the input (σ−)
  22. 22. Phase of central spot Component with the same Component with oppositehandedness as the input (σ+) handedness to the input (σ−)
  23. 23. A proper calculation +, = +, = mode con- −, verter =
  24. 24. A proper calculation +, = +, = mode = + con- verter −, = = = − =
  25. 25. A proper calculation +, = +, = mode = + con- verter −, = = = − Total angular momentum remains the same! =
  26. 26. We found,constructed, andunderstood a novelspin-to-orbit angularmomentum couplingdevice.
  27. 27. Orbital angular momentum ⟨Jspin ⟩ = 0 ̵ ⟨Jorbit ⟩ = h
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