Abstract

We experimentally show that when higher-order optical vortices generated by a system of dielectric wedges are subjected to focusing they do not lose their structural stability.

© 2005 Optical Society of America

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References

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  1. L. Allen, M. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999).
    [CrossRef]
  2. A. S. Desyatnikov, L. Torner, and Yu. S. Kivshar, Prog. Opt. 47, 3 (2005).
  3. I. Basistiy, V. Bazenov, M. Soskin, and M. Vasnetsov, Opt. Commun. 103, 422 (1993).
    [CrossRef]
  4. L. E. Helseth. Opt. Commun. 229, 85 (2004).
    [CrossRef]
  5. Ya. Izdebskaya, V. Shvedov, and A. VolyarOpt. Lett. 30, 2472 (2005).
    [CrossRef] [PubMed]
  6. M. R. Dennis, J. Opt. A Pure Appl. Opt. 6, S202 (2005).
    [CrossRef]
  7. V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , Pis'ma Zh. Tekh. Fiz. 6, 87 (2002)V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , [Tech. Phys. Lett. 28, 256 (2002)].
    [CrossRef]
  8. Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A Pure Appl. Opt. 6, S217 (2005).
    [CrossRef]
  9. C. Rockstuhl, A. A. Ivanovskyy, M. S. Soskin, M. G. Salt, H. P. Herzing, and R. Dändliker. Opt. Commun. 242, 163 (2004).
    [CrossRef]
  10. P. J. Cronin, P. Török, P. Varga, and C. Cogswell. J. Opt. Soc. Am. A 17, 1556 (2000).
    [CrossRef]

2005 (4)

A. S. Desyatnikov, L. Torner, and Yu. S. Kivshar, Prog. Opt. 47, 3 (2005).

M. R. Dennis, J. Opt. A Pure Appl. Opt. 6, S202 (2005).
[CrossRef]

Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A Pure Appl. Opt. 6, S217 (2005).
[CrossRef]

Ya. Izdebskaya, V. Shvedov, and A. VolyarOpt. Lett. 30, 2472 (2005).
[CrossRef] [PubMed]

2004 (2)

C. Rockstuhl, A. A. Ivanovskyy, M. S. Soskin, M. G. Salt, H. P. Herzing, and R. Dändliker. Opt. Commun. 242, 163 (2004).
[CrossRef]

L. E. Helseth. Opt. Commun. 229, 85 (2004).
[CrossRef]

2002 (1)

V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , Pis'ma Zh. Tekh. Fiz. 6, 87 (2002)V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , [Tech. Phys. Lett. 28, 256 (2002)].
[CrossRef]

2000 (1)

1999 (1)

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

1993 (1)

I. Basistiy, V. Bazenov, M. Soskin, and M. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Alexeyev, A. N.

V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , Pis'ma Zh. Tekh. Fiz. 6, 87 (2002)V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , [Tech. Phys. Lett. 28, 256 (2002)].
[CrossRef]

Allen, L.

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

Babiker, M.

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

Basistiy, I.

I. Basistiy, V. Bazenov, M. Soskin, and M. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Bazenov, V.

I. Basistiy, V. Bazenov, M. Soskin, and M. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Cogswell, C.

Cronin, P. J.

Dändliker, R.

C. Rockstuhl, A. A. Ivanovskyy, M. S. Soskin, M. G. Salt, H. P. Herzing, and R. Dändliker. Opt. Commun. 242, 163 (2004).
[CrossRef]

Dennis, M. R.

M. R. Dennis, J. Opt. A Pure Appl. Opt. 6, S202 (2005).
[CrossRef]

Desyatnikov, A. S.

A. S. Desyatnikov, L. Torner, and Yu. S. Kivshar, Prog. Opt. 47, 3 (2005).

Egorov, Yu.

Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A Pure Appl. Opt. 6, S217 (2005).
[CrossRef]

Fadeyeva, T.

Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A Pure Appl. Opt. 6, S217 (2005).
[CrossRef]

Helseth, L. E.

L. E. Helseth. Opt. Commun. 229, 85 (2004).
[CrossRef]

Herzing, H. P.

C. Rockstuhl, A. A. Ivanovskyy, M. S. Soskin, M. G. Salt, H. P. Herzing, and R. Dändliker. Opt. Commun. 242, 163 (2004).
[CrossRef]

Ivanovskyy, A. A.

C. Rockstuhl, A. A. Ivanovskyy, M. S. Soskin, M. G. Salt, H. P. Herzing, and R. Dändliker. Opt. Commun. 242, 163 (2004).
[CrossRef]

Izdebskaya, Ya.

Izdebskaya, Ya. V.

V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , Pis'ma Zh. Tekh. Fiz. 6, 87 (2002)V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , [Tech. Phys. Lett. 28, 256 (2002)].
[CrossRef]

Kivshar, Yu. S.

A. S. Desyatnikov, L. Torner, and Yu. S. Kivshar, Prog. Opt. 47, 3 (2005).

Padgett, M.

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

Rockstuhl, C.

C. Rockstuhl, A. A. Ivanovskyy, M. S. Soskin, M. G. Salt, H. P. Herzing, and R. Dändliker. Opt. Commun. 242, 163 (2004).
[CrossRef]

Salt, M. G.

C. Rockstuhl, A. A. Ivanovskyy, M. S. Soskin, M. G. Salt, H. P. Herzing, and R. Dändliker. Opt. Commun. 242, 163 (2004).
[CrossRef]

Shvedov, V.

Shvedov, V. G.

V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , Pis'ma Zh. Tekh. Fiz. 6, 87 (2002)V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , [Tech. Phys. Lett. 28, 256 (2002)].
[CrossRef]

Soskin, M.

I. Basistiy, V. Bazenov, M. Soskin, and M. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Soskin, M. S.

C. Rockstuhl, A. A. Ivanovskyy, M. S. Soskin, M. G. Salt, H. P. Herzing, and R. Dändliker. Opt. Commun. 242, 163 (2004).
[CrossRef]

Torner, L.

A. S. Desyatnikov, L. Torner, and Yu. S. Kivshar, Prog. Opt. 47, 3 (2005).

Török, P.

Varga, P.

Vasnetsov, M.

I. Basistiy, V. Bazenov, M. Soskin, and M. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

Volyar, A.

Ya. Izdebskaya, V. Shvedov, and A. VolyarOpt. Lett. 30, 2472 (2005).
[CrossRef] [PubMed]

Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A Pure Appl. Opt. 6, S217 (2005).
[CrossRef]

Volyar, A. V.

V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , Pis'ma Zh. Tekh. Fiz. 6, 87 (2002)V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , [Tech. Phys. Lett. 28, 256 (2002)].
[CrossRef]

J. Opt. A Pure Appl. Opt. (2)

M. R. Dennis, J. Opt. A Pure Appl. Opt. 6, S202 (2005).
[CrossRef]

Yu. Egorov, T. Fadeyeva, and A. Volyar, J. Opt. A Pure Appl. Opt. 6, S217 (2005).
[CrossRef]

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

Opt. Commun. (3)

C. Rockstuhl, A. A. Ivanovskyy, M. S. Soskin, M. G. Salt, H. P. Herzing, and R. Dändliker. Opt. Commun. 242, 163 (2004).
[CrossRef]

I. Basistiy, V. Bazenov, M. Soskin, and M. Vasnetsov, Opt. Commun. 103, 422 (1993).
[CrossRef]

L. E. Helseth. Opt. Commun. 229, 85 (2004).
[CrossRef]

Opt. Lett. (1)

Pis'ma Zh. Tekh. Fiz. (1)

V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , Pis'ma Zh. Tekh. Fiz. 6, 87 (2002)V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alexeyev, and A. V. Volyar, , , and , [Tech. Phys. Lett. 28, 256 (2002)].
[CrossRef]

Prog. Opt. (2)

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

A. S. Desyatnikov, L. Torner, and Yu. S. Kivshar, Prog. Opt. 47, 3 (2005).

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Figures (4)

Fig. 1
Fig. 1

Experimental setup for focusing the wedge-generated singular beams.

Fig. 2
Fig. 2

Transformation of the singular beam near the focus: the wedge-generated beam with, a–c, l = 1 and, g–i, l = 2 ; d–f, the computer-generated beam with l = 2 .

Fig. 3
Fig. 3

Measuring of the singular beam vorticity Q.

Fig. 4
Fig. 4

Vorticity of the higher-order singular beam with l = 2 .

Equations (4)

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

λ π ρ > α ,
Ψ r l [ A exp ( i l φ ) + B exp ( i l φ ) ] ,
r = C 2 A 2 + B 2 + 2 A B cos ( l φ ) ,
r min r max = ( A B ) 2 ( A + B ) 2 = Q

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