Abstract

When light is transmitted along the axis of a rotating glass rod, the polarization of the light is rotated through a small angle [Proc. R. Soc. London, Ser. A 349, 423 (1976)] . Under the same conditions, we predict a rotation of the transmitted image by exactly the same angle. The treatment of the two effects in terms of light’s spin and orbital angular momentum suggests that they share a common origin.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. V. Jones, Proc. R. Soc. London, Ser. A 328, 337 (1972).
    [CrossRef]
  2. R. V. Jones, Proc. R. Soc. London, Ser. A 345, 351 (1975).
    [CrossRef]
  3. R. V. Jones, Proc. R. Soc. London, Ser. A 349, 423 (1976).
    [CrossRef]
  4. M. A. Player, Proc. R. Soc. London, Ser. A 349, 441 (1976).
    [CrossRef]
  5. P. Penfield and H. A. Haus, Electrodynamics of Moving Media (M.I.T. Press, 1967).
  6. G. Nienhuis, J. P. Woerdman, and I. Kuscer, Phys. Rev. A 46, 7079 (1992).
    [CrossRef] [PubMed]
  7. L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999), and references therein.
    [CrossRef]
  8. L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (Institute of Physics, 2003), and papers therein.
    [CrossRef]
  9. M. A. Player, Proc. R. Soc. London, Ser. A 345, 343 (1975).
    [CrossRef]
  10. G. L. Rogers, Proc. R. Soc. London, Ser. A 345, 345 (1975).
    [CrossRef]
  11. I. Brevik, Phys. Rep. 52, 133 (1979).
    [CrossRef]
  12. M. J. Padgett and J. Courtial, Opt. Lett. 24, 430 (1999).
    [CrossRef]
  13. L. Allen, J. Courtial, and M. J. Padgett, Phys. Rev. E 60, 7497 (1999).
    [CrossRef]
  14. J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
    [CrossRef] [PubMed]
  15. L. Allen and M. J. Padgett, Opt. Commun. 184, 67 (2000).
    [CrossRef]
  16. G. N. Pellegrini and A. R. Swift, Am. J. Phys. 63, 694 (1995).
    [CrossRef]

2002

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[CrossRef] [PubMed]

2000

L. Allen and M. J. Padgett, Opt. Commun. 184, 67 (2000).
[CrossRef]

1999

M. J. Padgett and J. Courtial, Opt. Lett. 24, 430 (1999).
[CrossRef]

L. Allen, J. Courtial, and M. J. Padgett, Phys. Rev. E 60, 7497 (1999).
[CrossRef]

L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999), and references therein.
[CrossRef]

1995

G. N. Pellegrini and A. R. Swift, Am. J. Phys. 63, 694 (1995).
[CrossRef]

1992

G. Nienhuis, J. P. Woerdman, and I. Kuscer, Phys. Rev. A 46, 7079 (1992).
[CrossRef] [PubMed]

1979

I. Brevik, Phys. Rep. 52, 133 (1979).
[CrossRef]

1976

R. V. Jones, Proc. R. Soc. London, Ser. A 349, 423 (1976).
[CrossRef]

M. A. Player, Proc. R. Soc. London, Ser. A 349, 441 (1976).
[CrossRef]

1975

R. V. Jones, Proc. R. Soc. London, Ser. A 345, 351 (1975).
[CrossRef]

M. A. Player, Proc. R. Soc. London, Ser. A 345, 343 (1975).
[CrossRef]

G. L. Rogers, Proc. R. Soc. London, Ser. A 345, 345 (1975).
[CrossRef]

1972

R. V. Jones, Proc. R. Soc. London, Ser. A 328, 337 (1972).
[CrossRef]

Allen, L.

L. Allen and M. J. Padgett, Opt. Commun. 184, 67 (2000).
[CrossRef]

L. Allen, J. Courtial, and M. J. Padgett, Phys. Rev. E 60, 7497 (1999).
[CrossRef]

L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999), and references therein.
[CrossRef]

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (Institute of Physics, 2003), and papers therein.
[CrossRef]

Babiker, M.

L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999), and references therein.
[CrossRef]

Barnett, S. M.

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[CrossRef] [PubMed]

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (Institute of Physics, 2003), and papers therein.
[CrossRef]

Brevik, I.

I. Brevik, Phys. Rep. 52, 133 (1979).
[CrossRef]

Courtial, J.

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[CrossRef] [PubMed]

M. J. Padgett and J. Courtial, Opt. Lett. 24, 430 (1999).
[CrossRef]

L. Allen, J. Courtial, and M. J. Padgett, Phys. Rev. E 60, 7497 (1999).
[CrossRef]

Franke-Arnold, S.

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[CrossRef] [PubMed]

Haus, H. A.

P. Penfield and H. A. Haus, Electrodynamics of Moving Media (M.I.T. Press, 1967).

Jones, R. V.

R. V. Jones, Proc. R. Soc. London, Ser. A 349, 423 (1976).
[CrossRef]

R. V. Jones, Proc. R. Soc. London, Ser. A 345, 351 (1975).
[CrossRef]

R. V. Jones, Proc. R. Soc. London, Ser. A 328, 337 (1972).
[CrossRef]

Kuscer, I.

G. Nienhuis, J. P. Woerdman, and I. Kuscer, Phys. Rev. A 46, 7079 (1992).
[CrossRef] [PubMed]

Leach, J.

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[CrossRef] [PubMed]

Nienhuis, G.

G. Nienhuis, J. P. Woerdman, and I. Kuscer, Phys. Rev. A 46, 7079 (1992).
[CrossRef] [PubMed]

Padgett, M. J.

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[CrossRef] [PubMed]

L. Allen and M. J. Padgett, Opt. Commun. 184, 67 (2000).
[CrossRef]

L. Allen, J. Courtial, and M. J. Padgett, Phys. Rev. E 60, 7497 (1999).
[CrossRef]

M. J. Padgett and J. Courtial, Opt. Lett. 24, 430 (1999).
[CrossRef]

L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999), and references therein.
[CrossRef]

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (Institute of Physics, 2003), and papers therein.
[CrossRef]

Pellegrini, G. N.

G. N. Pellegrini and A. R. Swift, Am. J. Phys. 63, 694 (1995).
[CrossRef]

Penfield, P.

P. Penfield and H. A. Haus, Electrodynamics of Moving Media (M.I.T. Press, 1967).

Player, M. A.

M. A. Player, Proc. R. Soc. London, Ser. A 349, 441 (1976).
[CrossRef]

M. A. Player, Proc. R. Soc. London, Ser. A 345, 343 (1975).
[CrossRef]

Rogers, G. L.

G. L. Rogers, Proc. R. Soc. London, Ser. A 345, 345 (1975).
[CrossRef]

Swift, A. R.

G. N. Pellegrini and A. R. Swift, Am. J. Phys. 63, 694 (1995).
[CrossRef]

Woerdman, J. P.

G. Nienhuis, J. P. Woerdman, and I. Kuscer, Phys. Rev. A 46, 7079 (1992).
[CrossRef] [PubMed]

Am. J. Phys.

G. N. Pellegrini and A. R. Swift, Am. J. Phys. 63, 694 (1995).
[CrossRef]

Opt. Commun.

L. Allen and M. J. Padgett, Opt. Commun. 184, 67 (2000).
[CrossRef]

Opt. Lett.

Phys. Rep.

I. Brevik, Phys. Rep. 52, 133 (1979).
[CrossRef]

Phys. Rev. A

G. Nienhuis, J. P. Woerdman, and I. Kuscer, Phys. Rev. A 46, 7079 (1992).
[CrossRef] [PubMed]

Phys. Rev. E

L. Allen, J. Courtial, and M. J. Padgett, Phys. Rev. E 60, 7497 (1999).
[CrossRef]

Phys. Rev. Lett.

J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Phys. Rev. Lett. 88, 257901 (2002).
[CrossRef] [PubMed]

Proc. R. Soc. London, Ser. A

M. A. Player, Proc. R. Soc. London, Ser. A 345, 343 (1975).
[CrossRef]

G. L. Rogers, Proc. R. Soc. London, Ser. A 345, 345 (1975).
[CrossRef]

R. V. Jones, Proc. R. Soc. London, Ser. A 328, 337 (1972).
[CrossRef]

R. V. Jones, Proc. R. Soc. London, Ser. A 345, 351 (1975).
[CrossRef]

R. V. Jones, Proc. R. Soc. London, Ser. A 349, 423 (1976).
[CrossRef]

M. A. Player, Proc. R. Soc. London, Ser. A 349, 441 (1976).
[CrossRef]

Prog. Opt.

L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999), and references therein.
[CrossRef]

Other

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (Institute of Physics, 2003), and papers therein.
[CrossRef]

P. Penfield and H. A. Haus, Electrodynamics of Moving Media (M.I.T. Press, 1967).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

Transverse shift imparted to a light beam by a moving medium can be calculated in the frame of the medium.

Fig. 2
Fig. 2

Application of a magnetic field along the axis of the rod leads to a rotation of the transmitted polarization but not of the image. Conversely, the mechanically induced ether drag associated with a rotating cylinder rotates both the polarization and the image through the same angle.

Equations (10)

Equations on this page are rendered with MathJax. Learn more.

Δ θ pol = Ω ( n g 1 n ϕ ) L c .
α = v c .
Δ refraction = v L c ( 1 1 n ϕ ) .
t delay = L cos ( α n ϕ ) ( n g 1 ) c L ( n g 1 ) c .
Δ delay = α L ( n g 1 ) = v L c ( n g 1 ) .
Δ total = v L c ( n g 1 n ϕ ) .
r Δ θ = ( n g 1 n ϕ ) r Ω L c .
Δ θ image = ( n g 1 n ϕ ) Ω L c ,
Δ ϕ ( σ ) = σ ( n g 1 n ϕ ) Ω L c .
Δ ϕ ( l ) = l ( n g 1 n ϕ ) Ω L c .

Metrics