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Photo Orbital Angular Momentum in Astrophysics (By Martin Harwit ApJ, 2003, Vol. 597, 1266) Öܽ¨·æ Ç廪´óѧÌìÌåÎïÀíÖÐÐÄ
Contents Introduction Multipole Fields Astronomical Instrumentation to Measure POAM Astrophysical Applications Conclusion Dove-PrismMach-Zehnder Interferometers Astronomical Limitations Masers as Probes of Inhomogeneities Luminous Point Sources SETI Transfer of OAM by Kerr Black Holes Blackbody Radiation and the CMB
1. Spin Angular Momentum Photons are endowed with inherent  spin   angular momentum  .   This is demonstrated by the  selection laws  in atomic physics, where   Photons all carrying the same spin are  circularly polarized .
1. Spin Angular Momentum Plane waves   are the superposition of  circularly polarized photons . They actually don¡¯t exist physically, just as that white light photons don¡¯t exist either.   Plane waves   carry no angular momentum.   K (r) E H
1. Detection of Spin Angular Momentum Beth Experiment in 1936 (Phys. Rev.) Left circularly polarized light Right circularly polarized light ? /2 birefringent plate
1. Photon Orbital Angular Momentum Laser light  with a Laguerre-Gaussian amplitude distribution is found to  have a well-defined  orbital angular momentum .  (Allen, 1992, PRA) Usually, a photon just has its spin angular momentum  .   It is also possible to possess a larger angular momentum of  . Beams of photons each with  OAM  as high as  m   =200 have been  produced in lab.  (Curtis et al., 2002, Opt. Commun.)
2. Multipole Fields (Classical Electrodynamics) Spherical electromagnetic waves in free space,  where can be completely described by superpositions of  electric and magnetic multipole fields.   For electric multipole (TM model), For magnetic multipole (TE model),
2. Multipole Fields (Classical Electrodynamics) For electric multipole radiation, Each photon, with energy  , here carries off angular momentum
?
2. Multipole Fields (Quantum Electrodynamics) In quantum electrodynamics, angular momentum  J  becomes an operator. Spin and orbital angular momentum may not always be clearly separable.
2. Comparison between Spin and Orbital AM
3. Astronomical Instrumentation to Measure POAM Dove-Prism Mach-Zehnder Interferometer
3. Astronomical Instrumentation to Measure POAM Rotation of phase profile
3. Astronomical Instrumentation to Measure POAM Sort photons with odd and even OAM Phases are controlled  by rotation  and path.
3. Astronomical Instrumentation to Measure POAM Photon orbital angular momentum (POAM) produced by a spiral phase plate
3. Astronomical Instrumentation to Measure POAM Photon orbital ang(POAM) produced by a spiral phase plate
3. Astronomical Instrumentation to Measure POAM
4. Astrophysical Applications Masers as Probes of Inhomogeneities
4. Astrophysical Applications SETI¡ªSearch Extra Terrestrial Intelligence
4. Astrophysical Applications Detect Kerr Black Holes
Photons are more complex than we have known!
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Poam

  • 1. Photo Orbital Angular Momentum in Astrophysics (By Martin Harwit ApJ, 2003, Vol. 597, 1266) Öܽ¨·æ Ç廪´óѧÌìÌåÎïÀíÖÐÐÄ
  • 2. Contents Introduction Multipole Fields Astronomical Instrumentation to Measure POAM Astrophysical Applications Conclusion Dove-PrismMach-Zehnder Interferometers Astronomical Limitations Masers as Probes of Inhomogeneities Luminous Point Sources SETI Transfer of OAM by Kerr Black Holes Blackbody Radiation and the CMB
  • 3. 1. Spin Angular Momentum Photons are endowed with inherent spin angular momentum . This is demonstrated by the selection laws in atomic physics, where Photons all carrying the same spin are circularly polarized .
  • 4. 1. Spin Angular Momentum Plane waves are the superposition of circularly polarized photons . They actually don¡¯t exist physically, just as that white light photons don¡¯t exist either. Plane waves carry no angular momentum. K (r) E H
  • 5. 1. Detection of Spin Angular Momentum Beth Experiment in 1936 (Phys. Rev.) Left circularly polarized light Right circularly polarized light ? /2 birefringent plate
  • 6. 1. Photon Orbital Angular Momentum Laser light with a Laguerre-Gaussian amplitude distribution is found to have a well-defined orbital angular momentum . (Allen, 1992, PRA) Usually, a photon just has its spin angular momentum . It is also possible to possess a larger angular momentum of . Beams of photons each with OAM as high as m =200 have been produced in lab. (Curtis et al., 2002, Opt. Commun.)
  • 7. 2. Multipole Fields (Classical Electrodynamics) Spherical electromagnetic waves in free space, where can be completely described by superpositions of electric and magnetic multipole fields. For electric multipole (TM model), For magnetic multipole (TE model),
  • 8. 2. Multipole Fields (Classical Electrodynamics) For electric multipole radiation, Each photon, with energy , here carries off angular momentum
  • 9. ?
  • 10. 2. Multipole Fields (Quantum Electrodynamics) In quantum electrodynamics, angular momentum J becomes an operator. Spin and orbital angular momentum may not always be clearly separable.
  • 11. 2. Comparison between Spin and Orbital AM
  • 12. 3. Astronomical Instrumentation to Measure POAM Dove-Prism Mach-Zehnder Interferometer
  • 13. 3. Astronomical Instrumentation to Measure POAM Rotation of phase profile
  • 14. 3. Astronomical Instrumentation to Measure POAM Sort photons with odd and even OAM Phases are controlled by rotation and path.
  • 15. 3. Astronomical Instrumentation to Measure POAM Photon orbital angular momentum (POAM) produced by a spiral phase plate
  • 16. 3. Astronomical Instrumentation to Measure POAM Photon orbital ang(POAM) produced by a spiral phase plate
  • 18. 4. Astrophysical Applications Masers as Probes of Inhomogeneities
  • 19. 4. Astrophysical Applications SETI¡ªSearch Extra Terrestrial Intelligence
  • 20. 4. Astrophysical Applications Detect Kerr Black Holes
  • 21. Photons are more complex than we have known!