Abstract

We study theoretically and verify experimentally the detailed dynamics of spin-to-orbital angular momentum conversion for a circularly polarized Gaussian beam propagating along the optical axis of a uniaxial crystal. We extend the results to the case of white-light beams when each of the spectral components undergoes its own wavelength-dependent angular momentum conversion process.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. Allen, S. M. Barnet, and M. J. Padgett, Optical Angular Momentum (IoP, 2003).
    [CrossRef]
  2. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
    [CrossRef] [PubMed]
  3. M. Vasnetsov and K. Staliunas, Optical Vortices, Vol. 228 of Horizons of World Physics (Nova Science, 1999).
  4. N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Lett. 22, 52 (1997).
    [CrossRef] [PubMed]
  5. V. Liberman and B. Zeldovich, Phys. Rev. A 46, 5199 (1992).
    [CrossRef] [PubMed]
  6. L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
    [CrossRef] [PubMed]
  7. G. M. Lerman and U. Levy, Opt. Lett. 33, 2782 (2008).
    [CrossRef] [PubMed]
  8. Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
    [CrossRef] [PubMed]
  9. A. Ciattoni, G. Cincotti, and C. Palma, J. Opt. Soc. Am. A 20, 163 (2003).
    [CrossRef]
  10. A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
    [CrossRef]
  11. N. S. Kasak, N. A. Khio, and A. A. Ryzhevich, Quantum Electron. 29, 1020 (1999).
    [CrossRef]
  12. M. Berry and M. Dennis, Proc. R. Soc. London Ser. A 459, 1261 (2003).
    [CrossRef]
  13. A. Volyar and T. Fadeyeva, Opt. Spectrosc. 94, 264 (2003).
    [CrossRef]
  14. A. Volyar and T. Fadeyeva, Opt. Spectrosc. 101, 297 (2006).
    [CrossRef]
  15. Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A 6, S217 (2004).
  16. F. Flossmann, U. Schwarz, M. Maier, and M. Dennis, Opt. Express 14, 11402 (2006).
    [CrossRef] [PubMed]
  17. A. Volyar, V. Shvedov, T. Fadeyeva, A. S. Desyatnikov, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, Opt. Express 14, 3724 (2006).
    [CrossRef]
  18. D. N. Neshev, A. Dreischuh, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, Opt. Lett. 33, 1851 (2008).
    [CrossRef] [PubMed]
  19. V. Shvedov, Ya. V. Izdebskaya, A. V. Rode, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, Opt. Express 16, 20902 (2008).
    [CrossRef] [PubMed]

2008 (3)

2007 (1)

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef] [PubMed]

2006 (4)

2004 (1)

Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A 6, S217 (2004).

2003 (4)

M. Berry and M. Dennis, Proc. R. Soc. London Ser. A 459, 1261 (2003).
[CrossRef]

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 94, 264 (2003).
[CrossRef]

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

A. Ciattoni, G. Cincotti, and C. Palma, J. Opt. Soc. Am. A 20, 163 (2003).
[CrossRef]

1999 (1)

N. S. Kasak, N. A. Khio, and A. A. Ryzhevich, Quantum Electron. 29, 1020 (1999).
[CrossRef]

1997 (1)

1992 (2)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

V. Liberman and B. Zeldovich, Phys. Rev. A 46, 5199 (1992).
[CrossRef] [PubMed]

Allen, L.

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Lett. 22, 52 (1997).
[CrossRef] [PubMed]

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

L. Allen, S. M. Barnet, and M. J. Padgett, Optical Angular Momentum (IoP, 2003).
[CrossRef]

Barnet, S. M.

L. Allen, S. M. Barnet, and M. J. Padgett, Optical Angular Momentum (IoP, 2003).
[CrossRef]

Beijersbergen, M. W.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Berry, M.

M. Berry and M. Dennis, Proc. R. Soc. London Ser. A 459, 1261 (2003).
[CrossRef]

Chiu, D. T.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef] [PubMed]

Ciattoni, A.

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

A. Ciattoni, G. Cincotti, and C. Palma, J. Opt. Soc. Am. A 20, 163 (2003).
[CrossRef]

Cincotti, G.

A. Ciattoni, G. Cincotti, and C. Palma, J. Opt. Soc. Am. A 20, 163 (2003).
[CrossRef]

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

Dennis, M.

Desyatnikov, A. S.

Dholakia, K.

Dreischuh, A.

Edgar, J. S.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef] [PubMed]

Egorov, Yu.

Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A 6, S217 (2004).

Fadeyeva, T.

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 101, 297 (2006).
[CrossRef]

A. Volyar, V. Shvedov, T. Fadeyeva, A. S. Desyatnikov, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, Opt. Express 14, 3724 (2006).
[CrossRef]

Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A 6, S217 (2004).

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 94, 264 (2003).
[CrossRef]

Flossmann, F.

Izdebskaya, Ya. V.

Jeffries, G. D. M.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef] [PubMed]

Kasak, N. S.

N. S. Kasak, N. A. Khio, and A. A. Ryzhevich, Quantum Electron. 29, 1020 (1999).
[CrossRef]

Khio, N. A.

N. S. Kasak, N. A. Khio, and A. A. Ryzhevich, Quantum Electron. 29, 1020 (1999).
[CrossRef]

Kivshar, Yu. S.

Krolikowski, W.

Lerman, G. M.

Levy, U.

Liberman, V.

V. Liberman and B. Zeldovich, Phys. Rev. A 46, 5199 (1992).
[CrossRef] [PubMed]

Maier, M.

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]

McGloin, D.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef] [PubMed]

Neshev, D. N.

Padgett, M. J.

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Lett. 22, 52 (1997).
[CrossRef] [PubMed]

L. Allen, S. M. Barnet, and M. J. Padgett, Optical Angular Momentum (IoP, 2003).
[CrossRef]

Palma, C.

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

A. Ciattoni, G. Cincotti, and C. Palma, J. Opt. Soc. Am. A 20, 163 (2003).
[CrossRef]

Paparo, D.

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

Rode, A. V.

Ryzhevich, A. A.

N. S. Kasak, N. A. Khio, and A. A. Ryzhevich, Quantum Electron. 29, 1020 (1999).
[CrossRef]

Schwarz, U.

Shvedov, V.

Simpson, N. B.

Spreeuw, R. J. C.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Staliunas, K.

M. Vasnetsov and K. Staliunas, Optical Vortices, Vol. 228 of Horizons of World Physics (Nova Science, 1999).

Vasnetsov, M.

M. Vasnetsov and K. Staliunas, Optical Vortices, Vol. 228 of Horizons of World Physics (Nova Science, 1999).

Volyar, A.

A. Volyar, V. Shvedov, T. Fadeyeva, A. S. Desyatnikov, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, Opt. Express 14, 3724 (2006).
[CrossRef]

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 101, 297 (2006).
[CrossRef]

Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A 6, S217 (2004).

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 94, 264 (2003).
[CrossRef]

Woerdman, J. P.

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

Zeldovich, B.

V. Liberman and B. Zeldovich, Phys. Rev. A 46, 5199 (1992).
[CrossRef] [PubMed]

Zhao, Y.

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef] [PubMed]

J. Opt. A (1)

Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A 6, S217 (2004).

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

Opt. Express (3)

Opt. Lett. (3)

Opt. Spectrosc. (2)

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 94, 264 (2003).
[CrossRef]

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 101, 297 (2006).
[CrossRef]

Phys. Rev. A (2)

L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, Phys. Rev. A 45, 8185 (1992).
[CrossRef] [PubMed]

V. Liberman and B. Zeldovich, Phys. Rev. A 46, 5199 (1992).
[CrossRef] [PubMed]

Phys. Rev. E (1)

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

Phys. Rev. Lett. (2)

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

Y. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef] [PubMed]

Proc. R. Soc. London Ser. A (1)

M. Berry and M. Dennis, Proc. R. Soc. London Ser. A 459, 1261 (2003).
[CrossRef]

Quantum Electron. (1)

N. S. Kasak, N. A. Khio, and A. A. Ryzhevich, Quantum Electron. 29, 1020 (1999).
[CrossRef]

Other (2)

L. Allen, S. M. Barnet, and M. J. Padgett, Optical Angular Momentum (IoP, 2003).
[CrossRef]

M. Vasnetsov and K. Staliunas, Optical Vortices, Vol. 228 of Horizons of World Physics (Nova Science, 1999).

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 (3)

Fig. 1
Fig. 1

Transfer of normalized (a) powers and (b) angular momenta between c + (red, green, plus) and c (black, blue, minus) circularly polarized components. Curves, theory; markers, experiment. The beam waist w = 4.59 μ m (squares, dashed curves) and w = 11.02 μ m (circles, solid curves).

Fig. 2
Fig. 2

Experimentally measured intensity profiles for two components E ± 2 of the laser beam with λ = 633 nm and w = 4.59 μ m . The thin (red) curves in the bottom diagrams were calculated using Eqs. (1, 2), and the thick (black) curves are obtained by averaging the experimental ring profiles over azimuth.

Fig. 3
Fig. 3

Intensity profiles of the circularly polarized components ( E + , top row; E , bottom row) of a white-light beam at the output of calcite slabs with different thicknesses. Bottom diagram: power of three main spectral components versus z for w = 4.33 μ m . Solid curves, markers: theory, experiment. Blue, diamonds: λ = 440 nm ; green, triangles: λ = 550 nm ; red, squares: λ = 630 nm ; and black, circles: total white light with mean wavelength λ ¯ = 0.573 μ m and spectral width Δ λ 0.36 μ m .

Equations (4)

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

E + = 1 2 G ( e ) + 1 2 G ( o ) ,
E = u v + i Z e β e 2 v 2 G ( e ) u v + i Z o β o 2 v 2 G ( o ) .
M ̂ = ( C S e 2 i φ S e 2 i φ C ) = C σ ̂ 0 + S T ̂ ,
T ̂ = σ ̂ x cos ( 2 φ ) + σ ̂ y sin ( 2 φ ) ,

Metrics