Abstract

When light is transmitted through optically inhomogeneous and anisotropic media the spatial distribution of light can be modified according to its input polarization state. A complete analysis of this process, based on the paraxial approximation, is presented, and we show how it can be exploited to produce a spin-controlled change in the orbital angular momentum of light beams propagating in patterned space-variant optical axis phase plates. We also unveil a new effect: the development of a strong modulation in the angular momentum change upon variation of the optical path through the phase plates.

© 2007 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP Publishing, 2003).
    [CrossRef]
  2. H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
    [CrossRef] [PubMed]
  3. L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
    [CrossRef] [PubMed]
  4. A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
    [CrossRef] [PubMed]
  5. D. G. Grier, Nature 424, 810 (2003).
    [CrossRef] [PubMed]
  6. J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 81, 4828 (1998).
    [CrossRef]
  7. I. V. Basistiy, V. V. Slyusar, M. S. Soskin, M. V. Vasnetsov, and A. Ya. Bekshaev, Opt. Lett. 28, 1185 (2003).
    [CrossRef] [PubMed]
  8. M. J. Padgett and J. Courtial, Opt. Lett. 24, 430 (1999).
    [CrossRef]
  9. E. J. Galvez, P. R. Crawford, H. I. Sztul, M. J. Pysher, P. J. Haglin, and R. E. Williams, Phys. Rev. Lett. 89, 203901 (2003).
    [CrossRef]
  10. G. F. Calvo, Opt. Lett. 30, 1207 (2005).
    [CrossRef] [PubMed]
  11. A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 91, 227902 (2003).
    [CrossRef] [PubMed]
  12. G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, Phys. Rev. Lett. 92, 167903 (2004).
    [CrossRef] [PubMed]
  13. G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas'ko, S. M. Barnett, and S. Franke-Arnold, Opt. Express 12, 5448 (2004).
    [CrossRef] [PubMed]
  14. G. F. Calvo, A. Picón, and E. Bagan, Phys. Rev. A 73, 013805 (2006).
    [CrossRef]
  15. J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
    [CrossRef]
  16. E. Hasman, G. Biener, A. Niv, and V. Kleiner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, pp. 215-289.
    [CrossRef]
  17. A. Niv, G. Biener, V. Kleiner, and E. Hasman, Opt. Lett. 30, 2933 (2005).
    [CrossRef] [PubMed]
  18. L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
    [CrossRef] [PubMed]
  19. L. Chen, G. Zheng, J. Xu, B. Zhang, and W. She, Opt. Lett. 31, 3474 (2006).
    [CrossRef] [PubMed]
  20. A. Ciattoni and C. Palma, J. Opt. Soc. Am. A 20, 2163 (2003).
    [CrossRef]
  21. The rotation matrix is given byR̂z(α)=[cosα−sinα0sinαcosα0001].
  22. A. Ghosh and P. Fischer, Phys. Rev. Lett. 97, 173002 (2006).
    [CrossRef] [PubMed]
  23. Q. Zhan, Opt. Lett. 31, 867 (2006).
    [CrossRef] [PubMed]
  24. P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
    [CrossRef] [PubMed]
  25. G. F. Calvo, A. Picón, and A. Bramon, Phys. Rev. A 75, 012319 (2007).
    [CrossRef]

2007 (1)

G. F. Calvo, A. Picón, and A. Bramon, Phys. Rev. A 75, 012319 (2007).
[CrossRef]

2006 (5)

A. Ghosh and P. Fischer, Phys. Rev. Lett. 97, 173002 (2006).
[CrossRef] [PubMed]

Q. Zhan, Opt. Lett. 31, 867 (2006).
[CrossRef] [PubMed]

G. F. Calvo, A. Picón, and E. Bagan, Phys. Rev. A 73, 013805 (2006).
[CrossRef]

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef] [PubMed]

L. Chen, G. Zheng, J. Xu, B. Zhang, and W. She, Opt. Lett. 31, 3474 (2006).
[CrossRef] [PubMed]

2005 (4)

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

A. Niv, G. Biener, V. Kleiner, and E. Hasman, Opt. Lett. 30, 2933 (2005).
[CrossRef] [PubMed]

G. F. Calvo, Opt. Lett. 30, 1207 (2005).
[CrossRef] [PubMed]

P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
[CrossRef] [PubMed]

2004 (2)

2003 (5)

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 91, 227902 (2003).
[CrossRef] [PubMed]

A. Ciattoni and C. Palma, J. Opt. Soc. Am. A 20, 2163 (2003).
[CrossRef]

D. G. Grier, Nature 424, 810 (2003).
[CrossRef] [PubMed]

I. V. Basistiy, V. V. Slyusar, M. S. Soskin, M. V. Vasnetsov, and A. Ya. Bekshaev, Opt. Lett. 28, 1185 (2003).
[CrossRef] [PubMed]

E. J. Galvez, P. R. Crawford, H. I. Sztul, M. J. Pysher, P. J. Haglin, and R. E. Williams, Phys. Rev. Lett. 89, 203901 (2003).
[CrossRef]

2002 (1)

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

2001 (1)

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

1999 (1)

1998 (1)

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 81, 4828 (1998).
[CrossRef]

1995 (1)

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

Allen, L.

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 81, 4828 (1998).
[CrossRef]

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP Publishing, 2003).
[CrossRef]

Arlt, J.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

Aspelmeyer, M.

P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
[CrossRef] [PubMed]

Bagan, E.

G. F. Calvo, A. Picón, and E. Bagan, Phys. Rev. A 73, 013805 (2006).
[CrossRef]

Barnett, S. M.

Barreiro, J. T.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

Basistiy, I. V.

Bekshaev, A. Ya.

Biener, G.

A. Niv, G. Biener, V. Kleiner, and E. Hasman, Opt. Lett. 30, 2933 (2005).
[CrossRef] [PubMed]

E. Hasman, G. Biener, A. Niv, and V. Kleiner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, pp. 215-289.
[CrossRef]

Bramon, A.

G. F. Calvo, A. Picón, and A. Bramon, Phys. Rev. A 75, 012319 (2007).
[CrossRef]

Bryant, P. E.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

Calvo, G. F.

G. F. Calvo, A. Picón, and A. Bramon, Phys. Rev. A 75, 012319 (2007).
[CrossRef]

G. F. Calvo, A. Picón, and E. Bagan, Phys. Rev. A 73, 013805 (2006).
[CrossRef]

G. F. Calvo, Opt. Lett. 30, 1207 (2005).
[CrossRef] [PubMed]

Chen, L.

Ciattoni, A.

Courtial, J.

Crawford, P. R.

E. J. Galvez, P. R. Crawford, H. I. Sztul, M. J. Pysher, P. J. Haglin, and R. E. Williams, Phys. Rev. Lett. 89, 203901 (2003).
[CrossRef]

Dholakia, K.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 81, 4828 (1998).
[CrossRef]

Fischer, P.

A. Ghosh and P. Fischer, Phys. Rev. Lett. 97, 173002 (2006).
[CrossRef] [PubMed]

Franke-Arnold, S.

Friese, M. E. J.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

Galvez, E. J.

E. J. Galvez, P. R. Crawford, H. I. Sztul, M. J. Pysher, P. J. Haglin, and R. E. Williams, Phys. Rev. Lett. 89, 203901 (2003).
[CrossRef]

Ghosh, A.

A. Ghosh and P. Fischer, Phys. Rev. Lett. 97, 173002 (2006).
[CrossRef] [PubMed]

Gibson, G.

Grier, D. G.

D. G. Grier, Nature 424, 810 (2003).
[CrossRef] [PubMed]

Haglin, P. J.

E. J. Galvez, P. R. Crawford, H. I. Sztul, M. J. Pysher, P. J. Haglin, and R. E. Williams, Phys. Rev. Lett. 89, 203901 (2003).
[CrossRef]

Hasman, E.

A. Niv, G. Biener, V. Kleiner, and E. Hasman, Opt. Lett. 30, 2933 (2005).
[CrossRef] [PubMed]

E. Hasman, G. Biener, A. Niv, and V. Kleiner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, pp. 215-289.
[CrossRef]

He, H.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

Heckenberg, N. R.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

Hradil, Z.

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, Phys. Rev. Lett. 92, 167903 (2004).
[CrossRef] [PubMed]

Jennewein, T.

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 91, 227902 (2003).
[CrossRef] [PubMed]

Kleiner, V.

A. Niv, G. Biener, V. Kleiner, and E. Hasman, Opt. Lett. 30, 2933 (2005).
[CrossRef] [PubMed]

E. Hasman, G. Biener, A. Niv, and V. Kleiner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, pp. 215-289.
[CrossRef]

Kwiat, P. G.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

Langford, N. K.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

MacDonald, M. P.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

MacVicar, I.

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

Manzo, C.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef] [PubMed]

Marrucci, L.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef] [PubMed]

Molina-Terriza, G.

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, Phys. Rev. Lett. 92, 167903 (2004).
[CrossRef] [PubMed]

Niv, A.

A. Niv, G. Biener, V. Kleiner, and E. Hasman, Opt. Lett. 30, 2933 (2005).
[CrossRef] [PubMed]

E. Hasman, G. Biener, A. Niv, and V. Kleiner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, pp. 215-289.
[CrossRef]

O'Neil, A. T.

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

Padgett, M. J.

G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas'ko, S. M. Barnett, and S. Franke-Arnold, Opt. Express 12, 5448 (2004).
[CrossRef] [PubMed]

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

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

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 81, 4828 (1998).
[CrossRef]

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP Publishing, 2003).
[CrossRef]

Palma, C.

Pan, J.-W.

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 91, 227902 (2003).
[CrossRef] [PubMed]

Paparo, D.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef] [PubMed]

Pas'ko, V.

Paterson, L.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

Peters, N. A.

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

Picón, A.

G. F. Calvo, A. Picón, and A. Bramon, Phys. Rev. A 75, 012319 (2007).
[CrossRef]

G. F. Calvo, A. Picón, and E. Bagan, Phys. Rev. A 73, 013805 (2006).
[CrossRef]

Pysher, M. J.

E. J. Galvez, P. R. Crawford, H. I. Sztul, M. J. Pysher, P. J. Haglin, and R. E. Williams, Phys. Rev. Lett. 89, 203901 (2003).
[CrossRef]

Rehácek, J.

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, Phys. Rev. Lett. 92, 167903 (2004).
[CrossRef] [PubMed]

Resch, K. J.

P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
[CrossRef] [PubMed]

Rubinsztein-Dunlop, H.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

Rudolph, T.

P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
[CrossRef] [PubMed]

Schenck, E.

P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
[CrossRef] [PubMed]

She, W.

Sibbett, W.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

Slyusar, V. V.

Soskin, M. S.

Sztul, H. I.

E. J. Galvez, P. R. Crawford, H. I. Sztul, M. J. Pysher, P. J. Haglin, and R. E. Williams, Phys. Rev. Lett. 89, 203901 (2003).
[CrossRef]

Vasnetsov, M.

Vasnetsov, M. V.

Vaziri, A.

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, Phys. Rev. Lett. 92, 167903 (2004).
[CrossRef] [PubMed]

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 91, 227902 (2003).
[CrossRef] [PubMed]

Vedral, V.

P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
[CrossRef] [PubMed]

Walther, P.

P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
[CrossRef] [PubMed]

Weihs, G.

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 91, 227902 (2003).
[CrossRef] [PubMed]

Weinfurter, H.

P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
[CrossRef] [PubMed]

Williams, R. E.

E. J. Galvez, P. R. Crawford, H. I. Sztul, M. J. Pysher, P. J. Haglin, and R. E. Williams, Phys. Rev. Lett. 89, 203901 (2003).
[CrossRef]

Xu, J.

Zeilinger, A.

P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
[CrossRef] [PubMed]

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, Phys. Rev. Lett. 92, 167903 (2004).
[CrossRef] [PubMed]

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 91, 227902 (2003).
[CrossRef] [PubMed]

Zhan, Q.

Zhang, B.

Zheng, G.

J. Opt. Soc. Am. A (1)

Nature (2)

P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature 434, 169 (2005).
[CrossRef] [PubMed]

D. G. Grier, Nature 424, 810 (2003).
[CrossRef] [PubMed]

Opt. Express (1)

Opt. Lett. (6)

Phys. Rev. A (2)

G. F. Calvo, A. Picón, and A. Bramon, Phys. Rev. A 75, 012319 (2007).
[CrossRef]

G. F. Calvo, A. Picón, and E. Bagan, Phys. Rev. A 73, 013805 (2006).
[CrossRef]

Phys. Rev. Lett. (9)

J. T. Barreiro, N. K. Langford, N. A. Peters, and P. G. Kwiat, Phys. Rev. Lett. 95, 260501 (2005).
[CrossRef]

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef] [PubMed]

A. Vaziri, J.-W. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. 91, 227902 (2003).
[CrossRef] [PubMed]

G. Molina-Terriza, A. Vaziri, J. Rehácek, Z. Hradil, and A. Zeilinger, Phys. Rev. Lett. 92, 167903 (2004).
[CrossRef] [PubMed]

E. J. Galvez, P. R. Crawford, H. I. Sztul, M. J. Pysher, P. J. Haglin, and R. E. Williams, Phys. Rev. Lett. 89, 203901 (2003).
[CrossRef]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 81, 4828 (1998).
[CrossRef]

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

A. Ghosh and P. Fischer, Phys. Rev. Lett. 97, 173002 (2006).
[CrossRef] [PubMed]

Science (1)

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

Other (3)

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP Publishing, 2003).
[CrossRef]

E. Hasman, G. Biener, A. Niv, and V. Kleiner, in Progress in Optics, E.Wolf, ed. (North-Holland, 2005), Vol. 47, pp. 215-289.
[CrossRef]

The rotation matrix is given byR̂z(α)=[cosα−sinα0sinαcosα0001].

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 (1)

Fig. 1
Fig. 1

(a) Axes configuration for homogeneous uniaxial media. (b) Azimuthally inhomogeneous uniaxial phase plate. Segments represent the local orientation of the optical axis. Light propagation is along the z direction.

Equations (8)

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

U ̂ α ( q , z ) = exp ( i k e z z ) + exp ( i k o z z ) 2 1 ̂ + exp ( i k e z z ) exp ( i k o z z ) 2 R ̂ z ( α ) σ ̂ z R ̂ z ( α ) ,
E ( r , ϕ , d ) = k 0 n o 2 π i d 0 0 2 π ρ d ρ d φ { [ F e + F o 2 ] 1 ̂ + [ F e F o 2 ] R ̂ z ( α ) σ ̂ z R ̂ z ( α ) } E 0 ( ρ , φ ) ,
F e = exp { i k 0 n e d + i β e r ρ 2 + i Δ β e [ r 2 cos 2 ( α ϕ ) + ρ 2 cos 2 ( α φ ) 2 r ρ cos ( 2 α ϕ φ ) ] } ,
L z = i 2 ω j = x , y 0 0 2 π r d r d ϕ [ v j v j * ϕ v j * v j ϕ ] ,
S z = i 2 ω 0 0 2 π r 2 d r d ϕ r [ v x * v y v x v y * ] .
Δ L z = σ q ω [ 1 2 β o β e β o 2 + β e 2 cos ( k 0 n o n e d ) ] ,
Δ S z = σ ω [ 1 2 β o β e β o 2 + β e 2 cos ( k 0 n o n e d ) ] .
R ̂ z ( α ) = [ cos α sin α 0 sin α cos α 0 0 0 1 ] .

Metrics