Abstract

Paraxial beams whose transverse structure rotates upon free propagation (spiral beams) can be treated as analogs of azimuthons recently found in nonlinear media [Phys. Rev. Lett. 95, 203904 (2005) ]. These linear azimuthons have essentially a nonlocalized character and can possess an almost arbitrary rotation rate independent of the angular momentum of the beam. Such beams can be assimilated into fluent mechanical bodies with intrinsic mass flows determined by transverse energy redistribution over the beam cross section.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. V. Berry, in Physics of Defects (Les Houches Lecture Series Session XXXV), R.Balian, M.Kléman, and J.-P.Poirier, eds. (North-Holland, 1981), p. 453.
  2. M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
    [CrossRef]
  3. L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999).
    [CrossRef]
  4. M. Berry, in Proc. SPIE 3487, 6 (1998).
    [CrossRef]
  5. D. Rozas, C. T. Law, and G. A. Swartzlander, Jr., J. Opt. Soc. Am. B 14, 3054 (1997).
    [CrossRef]
  6. A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. Soc. Am. A 20, 1635 (2003).
    [CrossRef]
  7. A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 241, 237 (2004).
    [CrossRef]
  8. A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S170 (2004).
    [CrossRef]
  9. E. Abramochkin and V. Volostnikov, Opt. Commun. 102, 336 (1993).
    [CrossRef]
  10. E. Abramochkin and V. Volostnikov, Opt. Commun. 125, 302 (1996).
    [CrossRef]
  11. V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, Tech. Phys. Lett. 23, 657 (1997).
    [CrossRef]
  12. E. Abramochkin and V. Volostnikov, Phys. Usp. 47, 1177 (2004).
    [CrossRef]
  13. R. Piestun, Y. Y. Schechner, and J. Shamir, J. Opt. Soc. Am. A 17, 294 (2000).
    [CrossRef]
  14. D. V. Skryabin and W. J. Firth, Phys. Rev. E 58, 3916 (1998).
    [CrossRef]
  15. A. Desyatnikov, C. Denz, and Y. Kivshar, J. Opt. A, Pure Appl. Opt. 6, S209 (2004).
    [CrossRef]
  16. A. S. Desyatnikov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 203904 (2005).
    [CrossRef] [PubMed]
  17. A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005).
    [CrossRef]
  18. A. Bekshaev, M. Soskin, and M. Vasnetsov, Opt. Lett. 31, 694 (2006).
    [CrossRef] [PubMed]
  19. Yu. A. Anan'ev, Laser Resonators and the Beam Divergence Problem (Adam Hilger, 1992).
  20. M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, Phys. Rev. A 56, 4064 (1997).
    [CrossRef]

2006 (1)

2005 (2)

A. S. Desyatnikov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 203904 (2005).
[CrossRef] [PubMed]

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005).
[CrossRef]

2004 (4)

A. Desyatnikov, C. Denz, and Y. Kivshar, J. Opt. A, Pure Appl. Opt. 6, S209 (2004).
[CrossRef]

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 241, 237 (2004).
[CrossRef]

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S170 (2004).
[CrossRef]

E. Abramochkin and V. Volostnikov, Phys. Usp. 47, 1177 (2004).
[CrossRef]

2003 (1)

2001 (1)

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

2000 (1)

1999 (1)

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

1998 (2)

M. Berry, in Proc. SPIE 3487, 6 (1998).
[CrossRef]

D. V. Skryabin and W. J. Firth, Phys. Rev. E 58, 3916 (1998).
[CrossRef]

1997 (3)

V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, Tech. Phys. Lett. 23, 657 (1997).
[CrossRef]

D. Rozas, C. T. Law, and G. A. Swartzlander, Jr., J. Opt. Soc. Am. B 14, 3054 (1997).
[CrossRef]

M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

1996 (1)

E. Abramochkin and V. Volostnikov, Opt. Commun. 125, 302 (1996).
[CrossRef]

1993 (1)

E. Abramochkin and V. Volostnikov, Opt. Commun. 102, 336 (1993).
[CrossRef]

Abramochkin, E.

E. Abramochkin and V. Volostnikov, Phys. Usp. 47, 1177 (2004).
[CrossRef]

E. Abramochkin and V. Volostnikov, Opt. Commun. 125, 302 (1996).
[CrossRef]

E. Abramochkin and V. Volostnikov, Opt. Commun. 102, 336 (1993).
[CrossRef]

Allen, L.

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

Anan'ev, Yu. A.

Yu. A. Anan'ev, Laser Resonators and the Beam Divergence Problem (Adam Hilger, 1992).

Babiker, M.

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

Bekshaev, A.

Bekshaev, A. Ya.

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 241, 237 (2004).
[CrossRef]

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S170 (2004).
[CrossRef]

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. Soc. Am. A 20, 1635 (2003).
[CrossRef]

Berry, M.

M. Berry, in Proc. SPIE 3487, 6 (1998).
[CrossRef]

Berry, M. V.

M. V. Berry, in Physics of Defects (Les Houches Lecture Series Session XXXV), R.Balian, M.Kléman, and J.-P.Poirier, eds. (North-Holland, 1981), p. 453.

Denz, C.

A. Desyatnikov, C. Denz, and Y. Kivshar, J. Opt. A, Pure Appl. Opt. 6, S209 (2004).
[CrossRef]

Desyatnikov, A.

A. Desyatnikov, C. Denz, and Y. Kivshar, J. Opt. A, Pure Appl. Opt. 6, S209 (2004).
[CrossRef]

Desyatnikov, A. S.

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005).
[CrossRef]

A. S. Desyatnikov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 203904 (2005).
[CrossRef] [PubMed]

Firth, W. J.

D. V. Skryabin and W. J. Firth, Phys. Rev. E 58, 3916 (1998).
[CrossRef]

Gorshkov, V. N.

M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

Heckenberg, N. R.

M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

Khonina, S. N.

V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, Tech. Phys. Lett. 23, 657 (1997).
[CrossRef]

Kivshar, Y.

A. Desyatnikov, C. Denz, and Y. Kivshar, J. Opt. A, Pure Appl. Opt. 6, S209 (2004).
[CrossRef]

Kivshar, Y. S.

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005).
[CrossRef]

A. S. Desyatnikov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 203904 (2005).
[CrossRef] [PubMed]

Kotlyar, V. V.

V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, Tech. Phys. Lett. 23, 657 (1997).
[CrossRef]

Law, C. T.

Malos, J. T.

M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

Padgett, M. J.

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

Piestun, R.

Rozas, D.

Schechner, Y. Y.

Shamir, J.

Skryabin, D. V.

D. V. Skryabin and W. J. Firth, Phys. Rev. E 58, 3916 (1998).
[CrossRef]

Soifer, V. A.

V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, Tech. Phys. Lett. 23, 657 (1997).
[CrossRef]

Soskin, M.

Soskin, M. S.

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S170 (2004).
[CrossRef]

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 241, 237 (2004).
[CrossRef]

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. Soc. Am. A 20, 1635 (2003).
[CrossRef]

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

Sukhorukov, A. A.

A. S. Desyatnikov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 203904 (2005).
[CrossRef] [PubMed]

Swartzlander, G. A.

Torner, L.

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005).
[CrossRef]

Vasnetsov, M.

Vasnetsov, M. V.

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 241, 237 (2004).
[CrossRef]

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S170 (2004).
[CrossRef]

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. Soc. Am. A 20, 1635 (2003).
[CrossRef]

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

Volostnikov, V.

E. Abramochkin and V. Volostnikov, Phys. Usp. 47, 1177 (2004).
[CrossRef]

E. Abramochkin and V. Volostnikov, Opt. Commun. 125, 302 (1996).
[CrossRef]

E. Abramochkin and V. Volostnikov, Opt. Commun. 102, 336 (1993).
[CrossRef]

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

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, J. Opt. A, Pure Appl. Opt. 6, S170 (2004).
[CrossRef]

A. Desyatnikov, C. Denz, and Y. Kivshar, J. Opt. A, Pure Appl. Opt. 6, S209 (2004).
[CrossRef]

J. Opt. Soc. Am. A (2)

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

Opt. Commun. (3)

A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, Opt. Commun. 241, 237 (2004).
[CrossRef]

E. Abramochkin and V. Volostnikov, Opt. Commun. 102, 336 (1993).
[CrossRef]

E. Abramochkin and V. Volostnikov, Opt. Commun. 125, 302 (1996).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (1)

M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, Phys. Rev. A 56, 4064 (1997).
[CrossRef]

Phys. Rev. E (1)

D. V. Skryabin and W. J. Firth, Phys. Rev. E 58, 3916 (1998).
[CrossRef]

Phys. Rev. Lett. (1)

A. S. Desyatnikov, A. A. Sukhorukov, and Y. S. Kivshar, Phys. Rev. Lett. 95, 203904 (2005).
[CrossRef] [PubMed]

Phys. Usp. (1)

E. Abramochkin and V. Volostnikov, Phys. Usp. 47, 1177 (2004).
[CrossRef]

Proc. SPIE (1)

M. Berry, in Proc. SPIE 3487, 6 (1998).
[CrossRef]

Prog. Opt. (3)

M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
[CrossRef]

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

A. S. Desyatnikov, Y. S. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005).
[CrossRef]

Tech. Phys. Lett. (1)

V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, Tech. Phys. Lett. 23, 657 (1997).
[CrossRef]

Other (2)

M. V. Berry, in Physics of Defects (Les Houches Lecture Series Session XXXV), R.Balian, M.Kléman, and J.-P.Poirier, eds. (North-Holland, 1981), p. 453.

Yu. A. Anan'ev, Laser Resonators and the Beam Divergence Problem (Adam Hilger, 1992).

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 (2)

Fig. 1
Fig. 1

Evolution of the transverse intensity pattern of model spiral beams viewed against the beam propagation: (a)–(d) superposition LG 12 + LG 00 ( B = 2 ) ; ( a ) ( d ) superposition LG 02 + LG 20 ( B = 1 ) . Distances from the initial (waist) plane are indicated; beam broadening can be traced by the scale labels in the lower panels (in centimeters). Details in panels (a) and (b) are explained in the text.

Fig. 2
Fig. 2

Characteristics of the spiral beams in the waist cross section. (a), ( a ) Spot pattern with energy flow vectors; “+” (“−”) denote regions where flow lines converge (diverge). Light circumference is a contour along which we calculated the azimuthal distributions presented in panels (b), ( b ) , in arbitrary units: 1, intensity; 2, phase; 3, azimuthal component of the energy flow density [Poynting vector (6)], and 4, the negative transverse Poynting vector divergence div S .

Equations (6)

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

u ( r , ϕ , z ) = p = 0 l = C p l u p l ( r , ϕ , z ) ,
u p l ( r , ϕ , z ) = 1 b p ! π ( p + l ) ! ( r b ) l L p l ( r 2 b 2 ) exp ( r 2 2 b 2 + i k r 2 2 R ) exp { i [ l ϕ ( 2 p + l + 1 ) ψ ] }
L = ( ω c ) 1 p , l l C p l 2 .
B = 2 ( p p ) + l l l l = const ,
Ω = B d ψ ( z ) d z = B z R z 2 + z R 2 .
S = i c 16 π k ( u u * u * u ) ,

Metrics