Abstract

Diffraction of a Gaussian beam with a system of successively located optical wedges is considered. It is shown that the system is able to form higher-order optical vortices.

© 2005 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. Beijersbergen, R. Coerwinker, M. Kristensen, and J. Woerdman, Opt. Commun. 112, 121 (1994).
    [CrossRef]
  2. C. Rotshild, S. Zommer, Sh. Moed, O. Hershcovitz, and S. Lipson, Appl. Opt. 43, 2397 (2004).
    [CrossRef]
  3. J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165 (1974).
    [CrossRef]
  4. I. Basistiy, V. Bazenov, M. Soskin, and M. Vasnetsov, Opt. Commun. 103, 422 (1993).
    [CrossRef]
  5. I. Basisty, V. Pas’ko, M. Soskin, V. Slyusar, and M. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S166 (2004).
    [CrossRef]
  6. M. V. Berry, J. Opt. A, Pure Appl. Opt. 6, 259 (2004).
    [CrossRef]
  7. G. A. Swartzlander and J. Schmit, Phys. Rev. Lett. 93, 093901 (2004).
    [CrossRef]
  8. G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
    [CrossRef] [PubMed]
  9. G. A. Swartzlander, Opt. Lett. 26, 497 (2001).
    [CrossRef]
  10. V. Shvedov, Ya. Izdebskaya, A. Alexeyev, and A. Volyar, , , and , Pis'ma Zh. Tekh. Fiz. 6, 87 (2002)V. Shvedov, Ya. Izdebskaya, A. Alexeyev, and A. Volyar, , , and [Tech. Phys. Lett. 28, 256 (2002)].
    [CrossRef]

2004 (4)

I. Basisty, V. Pas’ko, M. Soskin, V. Slyusar, and M. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S166 (2004).
[CrossRef]

M. V. Berry, J. Opt. A, Pure Appl. Opt. 6, 259 (2004).
[CrossRef]

G. A. Swartzlander and J. Schmit, Phys. Rev. Lett. 93, 093901 (2004).
[CrossRef]

C. Rotshild, S. Zommer, Sh. Moed, O. Hershcovitz, and S. Lipson, Appl. Opt. 43, 2397 (2004).
[CrossRef]

2002 (1)

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

2001 (1)

1994 (1)

M. Beijersbergen, R. Coerwinker, M. Kristensen, and J. Woerdman, Opt. Commun. 112, 121 (1994).
[CrossRef]

1993 (1)

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

1992 (1)

G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

1974 (1)

J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165 (1974).
[CrossRef]

Alexeyev, A.

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

Basistiy, I.

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

Basisty, I.

I. Basisty, V. Pas’ko, M. Soskin, V. Slyusar, and M. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S166 (2004).
[CrossRef]

Bazenov, V.

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

Beijersbergen, M.

M. Beijersbergen, R. Coerwinker, M. Kristensen, and J. Woerdman, Opt. Commun. 112, 121 (1994).
[CrossRef]

Berry, M. V.

M. V. Berry, J. Opt. A, Pure Appl. Opt. 6, 259 (2004).
[CrossRef]

J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165 (1974).
[CrossRef]

Coerwinker, R.

M. Beijersbergen, R. Coerwinker, M. Kristensen, and J. Woerdman, Opt. Commun. 112, 121 (1994).
[CrossRef]

Hershcovitz, O.

Izdebskaya, Ya.

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

Kristensen, M.

M. Beijersbergen, R. Coerwinker, M. Kristensen, and J. Woerdman, Opt. Commun. 112, 121 (1994).
[CrossRef]

Law, C. T.

G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

Lipson, S.

Moed, Sh.

Nye, J. F.

J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165 (1974).
[CrossRef]

Pas’ko, V.

I. Basisty, V. Pas’ko, M. Soskin, V. Slyusar, and M. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S166 (2004).
[CrossRef]

Rotshild, C.

Schmit, J.

G. A. Swartzlander and J. Schmit, Phys. Rev. Lett. 93, 093901 (2004).
[CrossRef]

Shvedov, V.

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

Slyusar, V.

I. Basisty, V. Pas’ko, M. Soskin, V. Slyusar, and M. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S166 (2004).
[CrossRef]

Soskin, M.

I. Basisty, V. Pas’ko, M. Soskin, V. Slyusar, and M. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S166 (2004).
[CrossRef]

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

Swartzlander, G. A.

G. A. Swartzlander and J. Schmit, Phys. Rev. Lett. 93, 093901 (2004).
[CrossRef]

G. A. Swartzlander, Opt. Lett. 26, 497 (2001).
[CrossRef]

G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

Vasnetsov, M.

I. Basisty, V. Pas’ko, M. Soskin, V. Slyusar, and M. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S166 (2004).
[CrossRef]

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

Volyar, A.

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

Woerdman, J.

M. Beijersbergen, R. Coerwinker, M. Kristensen, and J. Woerdman, Opt. Commun. 112, 121 (1994).
[CrossRef]

Zommer, S.

Appl. Opt. (1)

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

I. Basisty, V. Pas’ko, M. Soskin, V. Slyusar, and M. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S166 (2004).
[CrossRef]

M. V. Berry, J. Opt. A, Pure Appl. Opt. 6, 259 (2004).
[CrossRef]

Opt. Commun. (2)

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

M. Beijersbergen, R. Coerwinker, M. Kristensen, and J. Woerdman, Opt. Commun. 112, 121 (1994).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. Lett. (2)

G. A. Swartzlander and J. Schmit, Phys. Rev. Lett. 93, 093901 (2004).
[CrossRef]

G. A. Swartzlander and C. T. Law, Phys. Rev. Lett. 69, 2503 (1992).
[CrossRef] [PubMed]

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

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

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

J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A 336, 165 (1974).
[CrossRef]

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

Generation of the double-charged vortex by the SW, l = 2 .

Fig. 2
Fig. 2

(a) Theoretical intensity I and (b) phase Φ distribution of the wedge-generated vortex with n = 2 .

Fig. 3
Fig. 3

Experimental intensity distribution I ( r ) at the single beam cross-section and the interference spirals for a (a), (b) two-wedge stack ( β = 90 ° ) , (b)–(e) three-wedge stack ( β = 60 ° ) , and (c)–(f) four-wedge stack ( β = 45 ° ) .

Equations (8)

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

Φ m = k x m tan ( α ) ( n m 1 ) + Θ m ,
n m = { 1 x > 0 , x l > 0 n w x 0 , x l 0 } ,
Θ m = { 0 , m = 0 ( 2 p + 1 ) π , m > 0 } .
Ψ ̃ l 1 2 l ( z + i z 0 ) l + 1 Ψ 0 1 l ( a m x + i b m y ) = 1 2 l ( z + i z 0 ) l + 1 Ψ 0 [ ( a + b ) l ( x + i y ) l + ( 1 ) l 1 ( a b ) l ( x i y ) l ] ,
Ψ 0 = exp [ i k r 2 2 ( z + i z 0 ) ]
a m = ( a cos φ m i b sin φ m ) ,
b m = ( b cos φ m i a sin φ m ) .
ρ = 2 π tan α k ( n w 1 )

Metrics