Abstract

We generate optical beams with rotating intensity blades by employing the moiré technique. We show that the number of the blades and the speed and direction of rotation can be controlled at ease with a spatial light modulator, while no mechanical movement or phase-sensitive interference is involved. By applying a noninstantaneous self-focusing nonlinearity, we demonstrate both theoretically and experimentally self-trapping of such optical propelling beams.

© 2010 Optical Society of America

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  1. E. Abramochkin and V. Volostnikov, Opt. Commun. 102, 336 (1993).
    [CrossRef]
  2. Y. Y. Schechner, R. Piestun, and J. Shamir, Phys. Rev. E 54, R50 (1996).
    [CrossRef]
  3. R. Piestun, Y. Y. Schechner, and J. Shamir, J. Opt. Soc. Am. A 17, 294 (2000).
    [CrossRef]
  4. V. Jarutis, A. Matijošius, P. D. Trapani, and A. Piskarskas, Opt. Lett. 34, 2129 (2009).
    [CrossRef] [PubMed]
  5. K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
    [CrossRef] [PubMed]
  6. L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
    [CrossRef] [PubMed]
  7. M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
    [CrossRef] [PubMed]
  8. A. Greengard, Y. Y. Schechner, and R. Piestun, Opt. Lett. 31, 181 (2006).
    [CrossRef] [PubMed]
  9. S. R. P. Pavani, M. A. Thompson, J. S. Biteen, S. J. Lord, N. Liu, R. J. Twieg, R. Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 106, 2995 (2009).
    [CrossRef] [PubMed]
  10. C. Rotschild, M. Saraf, A. Barak, R. El-Ganainy, E. Lifshitz, D. Christodoulides, and M. Segev, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2008), paper FME2.
  11. C. Anastassiou, C. Pigier, M. Segev, D. Kip, E. D. Eugenieva, and D. N. Christodoulides, Opt. Lett. 26, 911 (2001).
    [CrossRef]
  12. T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, Phys. Rev. Lett. 87, 143901 (2001).
    [CrossRef] [PubMed]
  13. A. S. Desyatnikov and Y. S. Kivshar, Phys. Rev. Lett. 88, 053901 (2002).
    [CrossRef] [PubMed]
  14. D. Deng, Q. Guo, and W. Hu, Opt. Lett. 34, 43 (2009).
    [CrossRef]
  15. A. S. Desyatnikov, D. Buccoliero, M. R. Dennis, and Y. S. Kivshar, Phys. Rev. Lett. 104, 053902 (2010).
    [CrossRef] [PubMed]
  16. F. Ye, Y. V. Kartashov, and L. Torner, Phys. Rev. A 76, 033812 (2007).
    [CrossRef]
  17. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. 30, 637 (2005).
    [CrossRef] [PubMed]
  18. C. Paterson and R. Smith, Opt. Commun. 124, 131 (1996).
    [CrossRef]
  19. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
    [CrossRef]
  20. P. Senthilkumaran, Appl. Opt. 42, 6314 (2003).
    [CrossRef] [PubMed]
  21. W. M. Lee and X. C. Yuan, J. Opt. A 6, 482 (2004).
    [CrossRef]
  22. M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
    [CrossRef] [PubMed]
  23. D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
    [CrossRef]

2010

A. S. Desyatnikov, D. Buccoliero, M. R. Dennis, and Y. S. Kivshar, Phys. Rev. Lett. 104, 053902 (2010).
[CrossRef] [PubMed]

2009

S. R. P. Pavani, M. A. Thompson, J. S. Biteen, S. J. Lord, N. Liu, R. J. Twieg, R. Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 106, 2995 (2009).
[CrossRef] [PubMed]

D. Deng, Q. Guo, and W. Hu, Opt. Lett. 34, 43 (2009).
[CrossRef]

V. Jarutis, A. Matijošius, P. D. Trapani, and A. Piskarskas, Opt. Lett. 34, 2129 (2009).
[CrossRef] [PubMed]

2008

C. Rotschild, M. Saraf, A. Barak, R. El-Ganainy, E. Lifshitz, D. Christodoulides, and M. Segev, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2008), paper FME2.

2007

F. Ye, Y. V. Kartashov, and L. Torner, Phys. Rev. A 76, 033812 (2007).
[CrossRef]

2006

2005

2004

W. M. Lee and X. C. Yuan, J. Opt. A 6, 482 (2004).
[CrossRef]

2003

2002

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

A. S. Desyatnikov and Y. S. Kivshar, Phys. Rev. Lett. 88, 053901 (2002).
[CrossRef] [PubMed]

2001

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, Phys. Rev. Lett. 87, 143901 (2001).
[CrossRef] [PubMed]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

C. Anastassiou, C. Pigier, M. Segev, D. Kip, E. D. Eugenieva, and D. N. Christodoulides, Opt. Lett. 26, 911 (2001).
[CrossRef]

2000

R. Piestun, Y. Y. Schechner, and J. Shamir, J. Opt. Soc. Am. A 17, 294 (2000).
[CrossRef]

K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
[CrossRef] [PubMed]

1998

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

1997

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

1996

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

C. Paterson and R. Smith, Opt. Commun. 124, 131 (1996).
[CrossRef]

Y. Y. Schechner, R. Piestun, and J. Shamir, Phys. Rev. E 54, R50 (1996).
[CrossRef]

1993

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

Abramochkin, E.

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

Anastassiou, C.

Arlt, J.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

Barak, A.

C. Rotschild, M. Saraf, A. Barak, R. El-Ganainy, E. Lifshitz, D. Christodoulides, and M. Segev, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2008), paper FME2.

Biteen, J. S.

S. R. P. Pavani, M. A. Thompson, J. S. Biteen, S. J. Lord, N. Liu, R. J. Twieg, R. Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 106, 2995 (2009).
[CrossRef] [PubMed]

Bryant, P. E.

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

Buccoliero, D.

A. S. Desyatnikov, D. Buccoliero, M. R. Dennis, and Y. S. Kivshar, Phys. Rev. Lett. 104, 053902 (2010).
[CrossRef] [PubMed]

Carmon, T.

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, Phys. Rev. Lett. 87, 143901 (2001).
[CrossRef] [PubMed]

Chen, Z.

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Chevy, F.

K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
[CrossRef] [PubMed]

Christodoulides, D.

C. Rotschild, M. Saraf, A. Barak, R. El-Ganainy, E. Lifshitz, D. Christodoulides, and M. Segev, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2008), paper FME2.

Christodoulides, D. N.

C. Anastassiou, C. Pigier, M. Segev, D. Kip, E. D. Eugenieva, and D. N. Christodoulides, Opt. Lett. 26, 911 (2001).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

Coskun, T. H.

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

Dalibard, J.

K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
[CrossRef] [PubMed]

Deng, D.

Dennis, M. R.

A. S. Desyatnikov, D. Buccoliero, M. R. Dennis, and Y. S. Kivshar, Phys. Rev. Lett. 104, 053902 (2010).
[CrossRef] [PubMed]

Desyatnikov, A. S.

A. S. Desyatnikov, D. Buccoliero, M. R. Dennis, and Y. S. Kivshar, Phys. Rev. Lett. 104, 053902 (2010).
[CrossRef] [PubMed]

A. S. Desyatnikov and Y. S. Kivshar, Phys. Rev. Lett. 88, 053901 (2002).
[CrossRef] [PubMed]

Dholakia, K.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

El-Ganainy, R.

C. Rotschild, M. Saraf, A. Barak, R. El-Ganainy, E. Lifshitz, D. Christodoulides, and M. Segev, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2008), paper FME2.

Eugenieva, E. D.

Friberg, A. T.

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Greengard, A.

Guo, Q.

Honkanen, M.

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Hu, W.

Jarutis, V.

Kartashov, Y. V.

F. Ye, Y. V. Kartashov, and L. Torner, Phys. Rev. A 76, 033812 (2007).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. 30, 637 (2005).
[CrossRef] [PubMed]

Khonina, S. N.

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Kip, D.

Kivshar, Y. S.

A. S. Desyatnikov, D. Buccoliero, M. R. Dennis, and Y. S. Kivshar, Phys. Rev. Lett. 104, 053902 (2010).
[CrossRef] [PubMed]

A. S. Desyatnikov and Y. S. Kivshar, Phys. Rev. Lett. 88, 053901 (2002).
[CrossRef] [PubMed]

Kotlyar, V. V.

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Kuittinen, M.

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Lautanen, J.

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Lee, W. M.

W. M. Lee and X. C. Yuan, J. Opt. A 6, 482 (2004).
[CrossRef]

Lifshitz, E.

C. Rotschild, M. Saraf, A. Barak, R. El-Ganainy, E. Lifshitz, D. Christodoulides, and M. Segev, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2008), paper FME2.

Liu, N.

S. R. P. Pavani, M. A. Thompson, J. S. Biteen, S. J. Lord, N. Liu, R. J. Twieg, R. Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 106, 2995 (2009).
[CrossRef] [PubMed]

Lord, S. J.

S. R. P. Pavani, M. A. Thompson, J. S. Biteen, S. J. Lord, N. Liu, R. J. Twieg, R. Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 106, 2995 (2009).
[CrossRef] [PubMed]

MacDonald, M. P.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

Madison, K. W.

K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
[CrossRef] [PubMed]

Matijošius, A.

Mitchell, M.

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Moerner, W. E.

S. R. P. Pavani, M. A. Thompson, J. S. Biteen, S. J. Lord, N. Liu, R. J. Twieg, R. Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 106, 2995 (2009).
[CrossRef] [PubMed]

Musslimani, Z. H.

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, Phys. Rev. Lett. 87, 143901 (2001).
[CrossRef] [PubMed]

Nepomnyashchy, A.

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, Phys. Rev. Lett. 87, 143901 (2001).
[CrossRef] [PubMed]

Pääkkönen, P.

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Paterson, C.

C. Paterson and R. Smith, Opt. Commun. 124, 131 (1996).
[CrossRef]

Paterson, L.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

Pavani, S. R. P.

S. R. P. Pavani, M. A. Thompson, J. S. Biteen, S. J. Lord, N. Liu, R. J. Twieg, R. Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 106, 2995 (2009).
[CrossRef] [PubMed]

Piestun, R.

S. R. P. Pavani, M. A. Thompson, J. S. Biteen, S. J. Lord, N. Liu, R. J. Twieg, R. Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 106, 2995 (2009).
[CrossRef] [PubMed]

A. Greengard, Y. Y. Schechner, and R. Piestun, Opt. Lett. 31, 181 (2006).
[CrossRef] [PubMed]

R. Piestun, Y. Y. Schechner, and J. Shamir, J. Opt. Soc. Am. A 17, 294 (2000).
[CrossRef]

Y. Y. Schechner, R. Piestun, and J. Shamir, Phys. Rev. E 54, R50 (1996).
[CrossRef]

Pigier, C.

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, Phys. Rev. Lett. 87, 143901 (2001).
[CrossRef] [PubMed]

C. Anastassiou, C. Pigier, M. Segev, D. Kip, E. D. Eugenieva, and D. N. Christodoulides, Opt. Lett. 26, 911 (2001).
[CrossRef]

Piskarskas, A.

Rotschild, C.

C. Rotschild, M. Saraf, A. Barak, R. El-Ganainy, E. Lifshitz, D. Christodoulides, and M. Segev, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2008), paper FME2.

Saraf, M.

C. Rotschild, M. Saraf, A. Barak, R. El-Ganainy, E. Lifshitz, D. Christodoulides, and M. Segev, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2008), paper FME2.

Schechner, Y. Y.

Segev, M.

C. Rotschild, M. Saraf, A. Barak, R. El-Ganainy, E. Lifshitz, D. Christodoulides, and M. Segev, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2008), paper FME2.

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, Phys. Rev. Lett. 87, 143901 (2001).
[CrossRef] [PubMed]

C. Anastassiou, C. Pigier, M. Segev, D. Kip, E. D. Eugenieva, and D. N. Christodoulides, Opt. Lett. 26, 911 (2001).
[CrossRef]

D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
[CrossRef]

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Senthilkumaran, P.

Shamir, J.

R. Piestun, Y. Y. Schechner, and J. Shamir, J. Opt. Soc. Am. A 17, 294 (2000).
[CrossRef]

Y. Y. Schechner, R. Piestun, and J. Shamir, Phys. Rev. E 54, R50 (1996).
[CrossRef]

Shih, M.

M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
[CrossRef] [PubMed]

Sibbett, W.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, Science 292, 912 (2001).
[CrossRef] [PubMed]

Smith, R.

C. Paterson and R. Smith, Opt. Commun. 124, 131 (1996).
[CrossRef]

Soifer, V. A.

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Thompson, M. A.

S. R. P. Pavani, M. A. Thompson, J. S. Biteen, S. J. Lord, N. Liu, R. J. Twieg, R. Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 106, 2995 (2009).
[CrossRef] [PubMed]

Torner, L.

F. Ye, Y. V. Kartashov, and L. Torner, Phys. Rev. A 76, 033812 (2007).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. 30, 637 (2005).
[CrossRef] [PubMed]

Trapani, P. D.

Turunen, J.

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Twieg, R. J.

S. R. P. Pavani, M. A. Thompson, J. S. Biteen, S. J. Lord, N. Liu, R. J. Twieg, R. Piestun, and W. E. Moerner, Proc. Natl. Acad. Sci. USA 106, 2995 (2009).
[CrossRef] [PubMed]

Uzdin, R.

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, Phys. Rev. Lett. 87, 143901 (2001).
[CrossRef] [PubMed]

Volke-Sepulveda, K.

M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, Science 296, 1101 (2002).
[CrossRef] [PubMed]

Volostnikov, V.

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

Vysloukh, V. A.

Wohlleben, W.

K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
[CrossRef] [PubMed]

Ye, F.

F. Ye, Y. V. Kartashov, and L. Torner, Phys. Rev. A 76, 033812 (2007).
[CrossRef]

Yuan, X. C.

W. M. Lee and X. C. Yuan, J. Opt. A 6, 482 (2004).
[CrossRef]

Appl. Opt.

J. Mod. Opt.

P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

J. Opt. A

W. M. Lee and X. C. Yuan, J. Opt. A 6, 482 (2004).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Commun.

C. Paterson and R. Smith, Opt. Commun. 124, 131 (1996).
[CrossRef]

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

Opt. Lett.

Phys. Rev. A

F. Ye, Y. V. Kartashov, and L. Torner, Phys. Rev. A 76, 033812 (2007).
[CrossRef]

Phys. Rev. E

Y. Y. Schechner, R. Piestun, and J. Shamir, Phys. Rev. E 54, R50 (1996).
[CrossRef]

Phys. Rev. Lett.

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Supplementary Material (4)

» Media 1: GIF (811 KB)     
» Media 2: GIF (624 KB)     
» Media 3: GIF (48 KB)     
» Media 4: GIF (212 KB)     

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Figures (4)

Fig. 1
Fig. 1

(a) Gratings employed for generation of optical propellers with the moiré technique. Shown from left to right are a simple straight-line grating and vortex fork-type gratings with topological charges m = 1 , 2 , and 3. (b)–(d) Rotating moiré patterns created by overlapping a moving straight grating with stationary fork gratings for m = 1 , 2 , and 3, respectively. The left panels show a snapshot of overlapped gratings, and the right three panels show corresponding first-order diffraction of an otherwise uniform Gaussian beam from the gratings. Dashed and solid arrows indicate moving and rotating directions of the grating and moiré patterns, and white dots mark one of the blades of the optical propellers (Media 1, 810 KB).

Fig. 2
Fig. 2

Numerical results of self-trapping of a single-blade optical propeller generated in Fig. 1b. (a)–(c) show three snapshots of output transverse patterns, the corresponding time-averaged intensity pattern, and a side-view of the beam at linear propagation; (d)–(f) same as in (a)–(c), except that the beam is at nonlinear propagation (Media 2, 624 KB).

Fig. 3
Fig. 3

(a) Experimental setup. SLM, spatial light modulator; BS, beam splitter; F, spatial filter; WLS, white-light source. (b) Single-blade propeller generated in experiment corresponding to Fig. 1b. Four panels are snapshots of three instantaneous patterns plus the time-averaged intensity pattern at input; (c) and (d) depict output patterns after (c) linear diffraction and (d) nonlinear self-trapping through the crystal, corresponding to Fig. 2 (Media 3, 48.1 KB).

Fig. 4
Fig. 4

Experimental generation of optical propellers with (a) two and (b) three blades corresponding to the numerical results shown in Figs. 1c, 1d. Four snapshots are taken from a movie shown online (Media 4, 212 KB).

Equations (2)

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( z i 2 2 ) f ( x , y , z , θ ) = i E 0 I 1 + I f ( x , y , z , θ ) ,
I ( x , y , z ) = 1 2 π 0 2 π | f ( x , y , z , θ ) | 2 d θ ,

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