Abstract

For a light beam focused through a biaxial crystal along one of its optical axes, the effect of internal conical refraction in the crystal leads to the formation in the focal image plane of two bright rings separated by a dark ring. It is shown that, with circularly polarized Laguerre–Gauss LG0 beams entering the crystal, this classical double-ring pattern is transformed into a multiring one consisting of +2 bright rings.

© 2011 Optical Society of America

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References

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  1. T. A. King, W. Hogervorst, N. S. Kazak, N. A. Khilo, and A. A. Ryzhevich, Opt. Commun. 187, 407 (2001).
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  3. C. F. Phelan, D. P. O’Dwyer, Y. P. Rakovich, J. F. Donegan, and J. G. Lunney, Opt. Express 17, 12891 (2009).
    [CrossRef] [PubMed]
  4. A. Abdolvand, K. G. Wilcox, T. K. Kalkandjiev, and E. U. Rafailov, Opt. Express 18, 2753 (2010).
    [CrossRef] [PubMed]
  5. V. Peet, J. Opt. 12, 095706 (2010).
    [CrossRef]
  6. D. P. O’Dwyer, C. F. Phelan, Y. P. Rakovich, P. R. Eastham, J. G. Lunney, and J. F. Donegan, Opt. Express 19, 2580 (2011).
    [CrossRef] [PubMed]
  7. V. Peet and S. Shchemelyov, J. Opt. 13, 055205 (2011).
    [CrossRef]
  8. M. V. Berry, J. Opt. 12, 075704 (2010).
    [CrossRef]
  9. T. K. Kalkandjiev and M. A. Bursukova, Proc. SPIE 6994, 69940B (2008).
    [CrossRef]
  10. V. Peet and D. Zolotukhin, Opt. Commun. 283, 3011 (2010).
    [CrossRef]

2011

2010

M. V. Berry, J. Opt. 12, 075704 (2010).
[CrossRef]

A. Abdolvand, K. G. Wilcox, T. K. Kalkandjiev, and E. U. Rafailov, Opt. Express 18, 2753 (2010).
[CrossRef] [PubMed]

V. Peet, J. Opt. 12, 095706 (2010).
[CrossRef]

V. Peet and D. Zolotukhin, Opt. Commun. 283, 3011 (2010).
[CrossRef]

2009

2008

T. K. Kalkandjiev and M. A. Bursukova, Proc. SPIE 6994, 69940B (2008).
[CrossRef]

2004

M. V. Berry, J. Opt. A 6, 289 (2004).
[CrossRef]

2001

T. A. King, W. Hogervorst, N. S. Kazak, N. A. Khilo, and A. A. Ryzhevich, Opt. Commun. 187, 407 (2001).
[CrossRef]

Abdolvand, A.

Berry, M. V.

M. V. Berry, J. Opt. 12, 075704 (2010).
[CrossRef]

M. V. Berry, J. Opt. A 6, 289 (2004).
[CrossRef]

Bursukova, M. A.

T. K. Kalkandjiev and M. A. Bursukova, Proc. SPIE 6994, 69940B (2008).
[CrossRef]

Donegan, J. F.

Eastham, P. R.

Hogervorst, W.

T. A. King, W. Hogervorst, N. S. Kazak, N. A. Khilo, and A. A. Ryzhevich, Opt. Commun. 187, 407 (2001).
[CrossRef]

Kalkandjiev, T. K.

Kazak, N. S.

T. A. King, W. Hogervorst, N. S. Kazak, N. A. Khilo, and A. A. Ryzhevich, Opt. Commun. 187, 407 (2001).
[CrossRef]

Khilo, N. A.

T. A. King, W. Hogervorst, N. S. Kazak, N. A. Khilo, and A. A. Ryzhevich, Opt. Commun. 187, 407 (2001).
[CrossRef]

King, T. A.

T. A. King, W. Hogervorst, N. S. Kazak, N. A. Khilo, and A. A. Ryzhevich, Opt. Commun. 187, 407 (2001).
[CrossRef]

Lunney, J. G.

O’Dwyer, D. P.

Peet, V.

V. Peet and S. Shchemelyov, J. Opt. 13, 055205 (2011).
[CrossRef]

V. Peet and D. Zolotukhin, Opt. Commun. 283, 3011 (2010).
[CrossRef]

V. Peet, J. Opt. 12, 095706 (2010).
[CrossRef]

Phelan, C. F.

Rafailov, E. U.

Rakovich, Y. P.

Ryzhevich, A. A.

T. A. King, W. Hogervorst, N. S. Kazak, N. A. Khilo, and A. A. Ryzhevich, Opt. Commun. 187, 407 (2001).
[CrossRef]

Shchemelyov, S.

V. Peet and S. Shchemelyov, J. Opt. 13, 055205 (2011).
[CrossRef]

Wilcox, K. G.

Zolotukhin, D.

V. Peet and D. Zolotukhin, Opt. Commun. 283, 3011 (2010).
[CrossRef]

J. Opt.

V. Peet, J. Opt. 12, 095706 (2010).
[CrossRef]

V. Peet and S. Shchemelyov, J. Opt. 13, 055205 (2011).
[CrossRef]

M. V. Berry, J. Opt. 12, 075704 (2010).
[CrossRef]

J. Opt. A

M. V. Berry, J. Opt. A 6, 289 (2004).
[CrossRef]

Opt. Commun.

T. A. King, W. Hogervorst, N. S. Kazak, N. A. Khilo, and A. A. Ryzhevich, Opt. Commun. 187, 407 (2001).
[CrossRef]

V. Peet and D. Zolotukhin, Opt. Commun. 283, 3011 (2010).
[CrossRef]

Opt. Express

Proc. SPIE

T. K. Kalkandjiev and M. A. Bursukova, Proc. SPIE 6994, 69940B (2008).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Schematic of the experimental setup.

Fig. 2
Fig. 2

CCD images and radial plots of intensity in the focal image plane of CR beams for LG 0 input beams with = 0 , 1, and 2.

Fig. 3
Fig. 3

Numerical simulation of experimental focal images in Fig. 2; cutaway three-dimensional plots of intensity (left); images of intensity distribution (right).

Equations (10)

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E ( r ) = k 2 π exp ( i k P · r ) × [ cos ( k P R 0 ) I i sin ( k P R 0 ) M ( θ P ) ] a ( P ) d P ,
M ( θ P ) = ( 0 e i θ P e i θ P 0 ) .
E ( r ) = B 0 ( r ) e + ( ) + B 1 ( r ) e + ( ) i θ e ( + ) ,
B 0 ( r ) = k 0 P cos ( k P R 0 ) J 0 ( k P r ) a ( P ) d P ,
B 1 ( r ) = k 0 P sin ( k P R 0 ) J 1 ( k P r ) a ( P ) d P ,
E = E 0 ( r 2 w ) | | exp ( r 2 w 2 ) exp ( i ϕ ) .
E + ( r ) = B ( r ) e i θ e + + B + 1 ( r ) e i ( + 1 ) θ e ,
E - ( r ) = B ( r ) e i θ e + B 1 ( r ) e i ( 1 ) θ e + ,
B ( r ) = k 0 P cos ( k P R 0 ) J ( k P r ) a ( P ) d P ,
B ± 1 ( r ) = k 0 P sin ( k P R 0 ) J ± 1 ( k P r ) a ( P ) d P .

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