Abstract

Experimental measurements of the twirl and changes in the anisotropy of the constant intensity ellipse, and the rotation of the polarization singular lemon pattern a generalized vector-vortex beam experiences around the two foci due to the converging and diverging conical waves and in between, are presented and interpreted as being due to the universal form of the Gouy phase, ϕG=mπ/2.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. F. Nye, Natural Focusing and the Fine Structure of Light (Institute of Physics, 1999).
  2. M. V. Berry, Proc. SPIE 4403, 1 (2001).
    [CrossRef]
  3. M. R. Dennis, Opt. Commun. 213, 201 (2002).
    [CrossRef]
  4. G. M. Terriza, E. M. Wright, and L. Torner, Opt. Lett. 26, 163 (2001).
    [CrossRef]
  5. M. R. Dennis, Opt. Lett. 33, 2572 (2008).
    [CrossRef]
  6. M. R. Dennis, J. Opt. A 6, S202 (2004).
    [CrossRef]
  7. N. K. Viswanathan and V. V. G. K. Inavalli, Opt. Lett. 34, 1189 (2009).
    [CrossRef]
  8. Y. V. Jayasurya, V. V. G. K. Inavalli, and N. K. Viswanathan, Appl. Opt. 50, E131 (2011).
    [CrossRef]
  9. J. Visser and G. Nienhuis, Phys. Rev. A 70, 013809 (2004).
    [CrossRef]
  10. L. G. Gouy, C. R. Acad. Sci. 110, 1251 (1890).
  11. L. G. Gouy, Ann. Chem. Phys. 24, 145 6e series (1891).
  12. T. D. Visser and E. Wolf, Opt. Commun. 283, 3371 (2010).
    [CrossRef]
  13. P. Paakkonen, J. Tervo, P. Vahimaa, J. Turunen, and F. Gori, Opt. Express 10, 949 (2002).
  14. A. Niv, G. Biener, V. Kleiner, and E. Hasman, Opt. Express 14, 4208 (2006).
    [CrossRef]
  15. A. Y. Bekshaev, M. V. Vasnetsov, and M. Soskin, Opt. Spectrosc. 100, 910 (2006).
    [CrossRef]
  16. D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
    [CrossRef]
  17. A. T. Friberg, J. Opt. Soc. Am. A 13, 743 (1996).
    [CrossRef]
  18. J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
    [CrossRef]
  19. R. Simon and N. Mukunda, Phys. Rev. Lett. 70, 880 (1993).
    [CrossRef]
  20. S. Feng and H. G. Winful, Opt. Lett. 26, 485 (2001).
    [CrossRef]

2011 (1)

2010 (1)

T. D. Visser and E. Wolf, Opt. Commun. 283, 3371 (2010).
[CrossRef]

2009 (1)

2008 (2)

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

M. R. Dennis, Opt. Lett. 33, 2572 (2008).
[CrossRef]

2006 (2)

A. Niv, G. Biener, V. Kleiner, and E. Hasman, Opt. Express 14, 4208 (2006).
[CrossRef]

A. Y. Bekshaev, M. V. Vasnetsov, and M. Soskin, Opt. Spectrosc. 100, 910 (2006).
[CrossRef]

2004 (2)

M. R. Dennis, J. Opt. A 6, S202 (2004).
[CrossRef]

J. Visser and G. Nienhuis, Phys. Rev. A 70, 013809 (2004).
[CrossRef]

2002 (2)

2001 (3)

2000 (1)

J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
[CrossRef]

1996 (1)

1993 (1)

R. Simon and N. Mukunda, Phys. Rev. Lett. 70, 880 (1993).
[CrossRef]

1891 (1)

L. G. Gouy, Ann. Chem. Phys. 24, 145 6e series (1891).

1890 (1)

L. G. Gouy, C. R. Acad. Sci. 110, 1251 (1890).

Arlt, J.

J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
[CrossRef]

Bekshaev, A. Y.

A. Y. Bekshaev, M. V. Vasnetsov, and M. Soskin, Opt. Spectrosc. 100, 910 (2006).
[CrossRef]

Berry, M. V.

M. V. Berry, Proc. SPIE 4403, 1 (2001).
[CrossRef]

Biener, G.

Dennis, M. R.

M. R. Dennis, Opt. Lett. 33, 2572 (2008).
[CrossRef]

M. R. Dennis, J. Opt. A 6, S202 (2004).
[CrossRef]

M. R. Dennis, Opt. Commun. 213, 201 (2002).
[CrossRef]

Dholakia, K.

J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
[CrossRef]

Feng, S.

Friberg, A. T.

Gori, F.

Gouy, L. G.

L. G. Gouy, Ann. Chem. Phys. 24, 145 6e series (1891).

L. G. Gouy, C. R. Acad. Sci. 110, 1251 (1890).

Hasman, E.

Inavalli, V. V. G. K.

Jayasurya, Y. V.

Kawase, D.

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

Kleiner, V.

Miyamoto, Y.

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

Mukunda, N.

R. Simon and N. Mukunda, Phys. Rev. Lett. 70, 880 (1993).
[CrossRef]

Nienhuis, G.

J. Visser and G. Nienhuis, Phys. Rev. A 70, 013809 (2004).
[CrossRef]

Niv, A.

Nye, J. F.

J. F. Nye, Natural Focusing and the Fine Structure of Light (Institute of Physics, 1999).

Paakkonen, P.

Sasaki, K.

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

Simon, R.

R. Simon and N. Mukunda, Phys. Rev. Lett. 70, 880 (1993).
[CrossRef]

Soskin, M.

A. Y. Bekshaev, M. V. Vasnetsov, and M. Soskin, Opt. Spectrosc. 100, 910 (2006).
[CrossRef]

Takeda, M.

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

Takeuchi, S.

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

Terriza, G. M.

Tervo, J.

Torner, L.

Turunen, J.

Vahimaa, P.

Vasnetsov, M. V.

A. Y. Bekshaev, M. V. Vasnetsov, and M. Soskin, Opt. Spectrosc. 100, 910 (2006).
[CrossRef]

Visser, J.

J. Visser and G. Nienhuis, Phys. Rev. A 70, 013809 (2004).
[CrossRef]

Visser, T. D.

T. D. Visser and E. Wolf, Opt. Commun. 283, 3371 (2010).
[CrossRef]

Viswanathan, N. K.

Winful, H. G.

Wolf, E.

T. D. Visser and E. Wolf, Opt. Commun. 283, 3371 (2010).
[CrossRef]

Wright, E. M.

Ann. Chem. Phys. (1)

L. G. Gouy, Ann. Chem. Phys. 24, 145 6e series (1891).

Appl. Opt. (1)

C. R. Acad. Sci. (1)

L. G. Gouy, C. R. Acad. Sci. 110, 1251 (1890).

J. Opt. A (1)

M. R. Dennis, J. Opt. A 6, S202 (2004).
[CrossRef]

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

Opt. Commun. (3)

J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
[CrossRef]

T. D. Visser and E. Wolf, Opt. Commun. 283, 3371 (2010).
[CrossRef]

M. R. Dennis, Opt. Commun. 213, 201 (2002).
[CrossRef]

Opt. Express (2)

Opt. Lett. (4)

Opt. Spectrosc. (1)

A. Y. Bekshaev, M. V. Vasnetsov, and M. Soskin, Opt. Spectrosc. 100, 910 (2006).
[CrossRef]

Phys. Rev. A (1)

J. Visser and G. Nienhuis, Phys. Rev. A 70, 013809 (2004).
[CrossRef]

Phys. Rev. Lett. (2)

D. Kawase, Y. Miyamoto, M. Takeda, K. Sasaki, and S. Takeuchi, Phys. Rev. Lett. 101, 050501 (2008).
[CrossRef]

R. Simon and N. Mukunda, Phys. Rev. Lett. 70, 880 (1993).
[CrossRef]

Proc. SPIE (1)

M. V. Berry, Proc. SPIE 4403, 1 (2001).
[CrossRef]

Other (1)

J. F. Nye, Natural Focusing and the Fine Structure of Light (Institute of Physics, 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 (4)

Fig. 1.
Fig. 1.

Schematic of the experimental setup. BE, Beam expander; A, axicon; d1, d2 two focal planes of the axicon.

Fig. 2.
Fig. 2.

(a), (b) Intensity and polarization ellipse of the output beam measured at z=25cm; (c), (d) the corresponding theoretically calculated patterns. See text for details.

Fig. 3.
Fig. 3.

(a) Plot of normalized average intensity of the first ring of the J1-BG beam (□) and the anisotropy of the vortex core (•) as a function of z. Open box indicates the PI region.

Fig. 4.
Fig. 4.

Measured twirl of the constant intensity ellipse (open symbol) and rotation of the lemon PS pattern (filled symbol) as a function of z for axicon and lens focusing of the VVB and the corresponding fit.

Equations (4)

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

I=E×E*=p2x2+q2y2+2pqcos(π/2±φs)xy.
[cos2ϕa2+sin2ϕb2]x2+[sin2ϕa2+cos2ϕb2]y2+2[cosϕsinϕ(1a2+1b2)]xy.
cos(π2±φs)=cosϕsinϕ[1a2+1b2]pq,
Ex=[εeiφF+(x+ily)|l|eiφV];Ey=[iσFεeiφF+iσV(x+ily)|l|eiφV],

Metrics