Abstract

Experimental results from the generation of Raman sidebands using optical vortices are presented. By generating two sets of sidebands originating from different locations in a Raman-active crystal, one set containing optical orbital angular momentum and the other serving as a reference, Young’s double slit experiment was simultaneously realized for each sideband. The interference between the two sets of sidebands was used to determine the helicity and topological charge in each order. Topological charges in all orders were found to be discrete and follow selection rules predicted by a cascaded Raman process.

© 2012 Optical Society of America

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M. Zhi and A. V. Sokolov, IEEE J. Sel. Top. Quantum Electron. 18, 460 (2012).
[CrossRef]

2011

H. S. Chan, Z. M. Hsieh, W. H. Liang, A. H. Kung, C. K. Lee, C. J. Lai, R. P. Pan, and L. H. Peng, Science 331, 1165(2011).
[CrossRef]

S. Baker, I. A. Walmsley, J. W. G. Tisch, and J. P. Marangos, Nat. Photon. 5, 664 (2011).
[CrossRef]

F. Lenzini, S. Residori, F. T. Arecchi, and U. Bortolozzo, Phys. Rev. A 84, 061801(R) (2011).
[CrossRef]

2008

M. Zhi and A. V. Sokolov, New J. Phys. 10, 025032 (2008).
[CrossRef]

2007

2006

J. A. O. Huguenin, M. Martinelli, D. P. Caetano, B. Coutinho dos Santos, M. P. Almeida, P. H. Souto Ribeiro, P. Nussenzveig, and A. Z. Khoury, J. Mod. Opt. 53, 647 (2006).
[CrossRef]

K. J. Moh, X.-C. Yuan, D. Y. Tang, W. C. Cheong, and L. S. Zhang, Appl. Phys. Lett. 88, 091103 (2006).
[CrossRef]

2005

A. V. Sokolov, M. Y. Shverdin, D. R. Walker, D. D. Yavuz, A. M. Burzo, G. Y. Yin, and S. E. Harris, J. Mod. Opt. 52, 285 (2005).
[CrossRef]

2004

P. Agostini and L. F. DiMauro, Rep. Prog. Phys. 67, 813 (2004).
[CrossRef]

2001

A. Mair, A. Vaziri, G. Weihs, and A. Zelinger, Nature 412, 313 (2001).
[CrossRef]

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J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Agostini, P.

P. Agostini and L. F. DiMauro, Rep. Prog. Phys. 67, 813 (2004).
[CrossRef]

Allen, L.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

Almeida, M. P.

J. A. O. Huguenin, M. Martinelli, D. P. Caetano, B. Coutinho dos Santos, M. P. Almeida, P. H. Souto Ribeiro, P. Nussenzveig, and A. Z. Khoury, J. Mod. Opt. 53, 647 (2006).
[CrossRef]

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D. L. Andrews, Structured Light and Its Applications(Academic, 2008).

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F. Lenzini, S. Residori, F. T. Arecchi, and U. Bortolozzo, Phys. Rev. A 84, 061801(R) (2011).
[CrossRef]

Baker, S.

S. Baker, I. A. Walmsley, J. W. G. Tisch, and J. P. Marangos, Nat. Photon. 5, 664 (2011).
[CrossRef]

Berzanskis, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Bortolozzo, U.

F. Lenzini, S. Residori, F. T. Arecchi, and U. Bortolozzo, Phys. Rev. A 84, 061801(R) (2011).
[CrossRef]

Boyd, R. W.

R. W. Boyd, Nonlinear Optics (Academic, 2008).

Burzo, A. M.

A. V. Sokolov, M. Y. Shverdin, D. R. Walker, D. D. Yavuz, A. M. Burzo, G. Y. Yin, and S. E. Harris, J. Mod. Opt. 52, 285 (2005).
[CrossRef]

Caetano, D. P.

J. A. O. Huguenin, M. Martinelli, D. P. Caetano, B. Coutinho dos Santos, M. P. Almeida, P. H. Souto Ribeiro, P. Nussenzveig, and A. Z. Khoury, J. Mod. Opt. 53, 647 (2006).
[CrossRef]

Chan, H. S.

H. S. Chan, Z. M. Hsieh, W. H. Liang, A. H. Kung, C. K. Lee, C. J. Lai, R. P. Pan, and L. H. Peng, Science 331, 1165(2011).
[CrossRef]

Chang, Z.

Z. Chang, Fundamentals of Attosecond Optics (CRC, 2011).

Cheong, W. C.

K. J. Moh, X.-C. Yuan, D. Y. Tang, W. C. Cheong, and L. S. Zhang, Appl. Phys. Lett. 88, 091103 (2006).
[CrossRef]

Courtial, J.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

Coutinho dos Santos, B.

J. A. O. Huguenin, M. Martinelli, D. P. Caetano, B. Coutinho dos Santos, M. P. Almeida, P. H. Souto Ribeiro, P. Nussenzveig, and A. Z. Khoury, J. Mod. Opt. 53, 647 (2006).
[CrossRef]

Dholakia, K.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

DiMauro, L. F.

P. Agostini and L. F. DiMauro, Rep. Prog. Phys. 67, 813 (2004).
[CrossRef]

Harris, S. E.

A. V. Sokolov, M. Y. Shverdin, D. R. Walker, D. D. Yavuz, A. M. Burzo, G. Y. Yin, and S. E. Harris, J. Mod. Opt. 52, 285 (2005).
[CrossRef]

Hsieh, Z. M.

H. S. Chan, Z. M. Hsieh, W. H. Liang, A. H. Kung, C. K. Lee, C. J. Lai, R. P. Pan, and L. H. Peng, Science 331, 1165(2011).
[CrossRef]

Huguenin, J. A. O.

J. A. O. Huguenin, M. Martinelli, D. P. Caetano, B. Coutinho dos Santos, M. P. Almeida, P. H. Souto Ribeiro, P. Nussenzveig, and A. Z. Khoury, J. Mod. Opt. 53, 647 (2006).
[CrossRef]

Khoury, A. Z.

J. A. O. Huguenin, M. Martinelli, D. P. Caetano, B. Coutinho dos Santos, M. P. Almeida, P. H. Souto Ribeiro, P. Nussenzveig, and A. Z. Khoury, J. Mod. Opt. 53, 647 (2006).
[CrossRef]

Kung, A. H.

H. S. Chan, Z. M. Hsieh, W. H. Liang, A. H. Kung, C. K. Lee, C. J. Lai, R. P. Pan, and L. H. Peng, Science 331, 1165(2011).
[CrossRef]

Lai, C. J.

H. S. Chan, Z. M. Hsieh, W. H. Liang, A. H. Kung, C. K. Lee, C. J. Lai, R. P. Pan, and L. H. Peng, Science 331, 1165(2011).
[CrossRef]

Lee, C. K.

H. S. Chan, Z. M. Hsieh, W. H. Liang, A. H. Kung, C. K. Lee, C. J. Lai, R. P. Pan, and L. H. Peng, Science 331, 1165(2011).
[CrossRef]

Lenzini, F.

F. Lenzini, S. Residori, F. T. Arecchi, and U. Bortolozzo, Phys. Rev. A 84, 061801(R) (2011).
[CrossRef]

Liang, W. H.

H. S. Chan, Z. M. Hsieh, W. H. Liang, A. H. Kung, C. K. Lee, C. J. Lai, R. P. Pan, and L. H. Peng, Science 331, 1165(2011).
[CrossRef]

Mair, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zelinger, Nature 412, 313 (2001).
[CrossRef]

Marangos, J. P.

S. Baker, I. A. Walmsley, J. W. G. Tisch, and J. P. Marangos, Nat. Photon. 5, 664 (2011).
[CrossRef]

Martinelli, M.

J. A. O. Huguenin, M. Martinelli, D. P. Caetano, B. Coutinho dos Santos, M. P. Almeida, P. H. Souto Ribeiro, P. Nussenzveig, and A. Z. Khoury, J. Mod. Opt. 53, 647 (2006).
[CrossRef]

Matijosius, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Moh, K. J.

K. J. Moh, X.-C. Yuan, D. Y. Tang, W. C. Cheong, and L. S. Zhang, Appl. Phys. Lett. 88, 091103 (2006).
[CrossRef]

Nussenzveig, P.

J. A. O. Huguenin, M. Martinelli, D. P. Caetano, B. Coutinho dos Santos, M. P. Almeida, P. H. Souto Ribeiro, P. Nussenzveig, and A. Z. Khoury, J. Mod. Opt. 53, 647 (2006).
[CrossRef]

Padgett, M. J.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

Pan, R. P.

H. S. Chan, Z. M. Hsieh, W. H. Liang, A. H. Kung, C. K. Lee, C. J. Lai, R. P. Pan, and L. H. Peng, Science 331, 1165(2011).
[CrossRef]

Peng, L. H.

H. S. Chan, Z. M. Hsieh, W. H. Liang, A. H. Kung, C. K. Lee, C. J. Lai, R. P. Pan, and L. H. Peng, Science 331, 1165(2011).
[CrossRef]

Petersen, C.

Piskarskas, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Residori, S.

F. Lenzini, S. Residori, F. T. Arecchi, and U. Bortolozzo, Phys. Rev. A 84, 061801(R) (2011).
[CrossRef]

Shverdin, M. Y.

A. V. Sokolov, M. Y. Shverdin, D. R. Walker, D. D. Yavuz, A. M. Burzo, G. Y. Yin, and S. E. Harris, J. Mod. Opt. 52, 285 (2005).
[CrossRef]

Smilgevicius, V.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Sokolov, A. V.

M. Zhi and A. V. Sokolov, IEEE J. Sel. Top. Quantum Electron. 18, 460 (2012).
[CrossRef]

M. Zhi and A. V. Sokolov, New J. Phys. 10, 025032 (2008).
[CrossRef]

A. V. Sokolov, M. Y. Shverdin, D. R. Walker, D. D. Yavuz, A. M. Burzo, G. Y. Yin, and S. E. Harris, J. Mod. Opt. 52, 285 (2005).
[CrossRef]

Souto Ribeiro, P. H.

J. A. O. Huguenin, M. Martinelli, D. P. Caetano, B. Coutinho dos Santos, M. P. Almeida, P. H. Souto Ribeiro, P. Nussenzveig, and A. Z. Khoury, J. Mod. Opt. 53, 647 (2006).
[CrossRef]

Stabinis, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Strohaber, J.

Tang, D. Y.

K. J. Moh, X.-C. Yuan, D. Y. Tang, W. C. Cheong, and L. S. Zhang, Appl. Phys. Lett. 88, 091103 (2006).
[CrossRef]

Tisch, J. W. G.

S. Baker, I. A. Walmsley, J. W. G. Tisch, and J. P. Marangos, Nat. Photon. 5, 664 (2011).
[CrossRef]

Uiterwaal, C. J. G. J.

Vaziri, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zelinger, Nature 412, 313 (2001).
[CrossRef]

Walker, D. R.

A. V. Sokolov, M. Y. Shverdin, D. R. Walker, D. D. Yavuz, A. M. Burzo, G. Y. Yin, and S. E. Harris, J. Mod. Opt. 52, 285 (2005).
[CrossRef]

Walmsley, I. A.

S. Baker, I. A. Walmsley, J. W. G. Tisch, and J. P. Marangos, Nat. Photon. 5, 664 (2011).
[CrossRef]

Weihs, G.

A. Mair, A. Vaziri, G. Weihs, and A. Zelinger, Nature 412, 313 (2001).
[CrossRef]

Yavuz, D. D.

A. V. Sokolov, M. Y. Shverdin, D. R. Walker, D. D. Yavuz, A. M. Burzo, G. Y. Yin, and S. E. Harris, J. Mod. Opt. 52, 285 (2005).
[CrossRef]

Yin, G. Y.

A. V. Sokolov, M. Y. Shverdin, D. R. Walker, D. D. Yavuz, A. M. Burzo, G. Y. Yin, and S. E. Harris, J. Mod. Opt. 52, 285 (2005).
[CrossRef]

Yuan, X.-C.

K. J. Moh, X.-C. Yuan, D. Y. Tang, W. C. Cheong, and L. S. Zhang, Appl. Phys. Lett. 88, 091103 (2006).
[CrossRef]

Zelinger, A.

A. Mair, A. Vaziri, G. Weihs, and A. Zelinger, Nature 412, 313 (2001).
[CrossRef]

Zhang, L. S.

K. J. Moh, X.-C. Yuan, D. Y. Tang, W. C. Cheong, and L. S. Zhang, Appl. Phys. Lett. 88, 091103 (2006).
[CrossRef]

Zhi, M.

M. Zhi and A. V. Sokolov, IEEE J. Sel. Top. Quantum Electron. 18, 460 (2012).
[CrossRef]

M. Zhi and A. V. Sokolov, New J. Phys. 10, 025032 (2008).
[CrossRef]

Appl. Phys. Lett.

K. J. Moh, X.-C. Yuan, D. Y. Tang, W. C. Cheong, and L. S. Zhang, Appl. Phys. Lett. 88, 091103 (2006).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron.

M. Zhi and A. V. Sokolov, IEEE J. Sel. Top. Quantum Electron. 18, 460 (2012).
[CrossRef]

J. Mod. Opt.

A. V. Sokolov, M. Y. Shverdin, D. R. Walker, D. D. Yavuz, A. M. Burzo, G. Y. Yin, and S. E. Harris, J. Mod. Opt. 52, 285 (2005).
[CrossRef]

J. A. O. Huguenin, M. Martinelli, D. P. Caetano, B. Coutinho dos Santos, M. P. Almeida, P. H. Souto Ribeiro, P. Nussenzveig, and A. Z. Khoury, J. Mod. Opt. 53, 647 (2006).
[CrossRef]

Nat. Photon.

S. Baker, I. A. Walmsley, J. W. G. Tisch, and J. P. Marangos, Nat. Photon. 5, 664 (2011).
[CrossRef]

Nature

A. Mair, A. Vaziri, G. Weihs, and A. Zelinger, Nature 412, 313 (2001).
[CrossRef]

New J. Phys.

M. Zhi and A. V. Sokolov, New J. Phys. 10, 025032 (2008).
[CrossRef]

Opt. Commun.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, Opt. Commun. 140, 273 (1997).
[CrossRef]

Opt. Lett.

Phys. Rev. A

F. Lenzini, S. Residori, F. T. Arecchi, and U. Bortolozzo, Phys. Rev. A 84, 061801(R) (2011).
[CrossRef]

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Phys. Rev. A 56, 4193 (1997).
[CrossRef]

Rep. Prog. Phys.

P. Agostini and L. F. DiMauro, Rep. Prog. Phys. 67, 813 (2004).
[CrossRef]

Science

H. S. Chan, Z. M. Hsieh, W. H. Liang, A. H. Kung, C. K. Lee, C. J. Lai, R. P. Pan, and L. H. Peng, Science 331, 1165(2011).
[CrossRef]

Other

D. L. Andrews, Structured Light and Its Applications(Academic, 2008).

R. W. Boyd, Nonlinear Optics (Academic, 2008).

Z. Chang, Fundamentals of Attosecond Optics (CRC, 2011).

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Figures (3)

Fig. 1.
Fig. 1.

Energy level diagrams for (a) sum-frequency generation (SFG); (b) difference-frequency generation (DFG), and (c) cascaded Raman sideband generation. The lower inset is a photograph of Raman sidebands generated by time-delayed linear chirped pulses. The Raman sideband to the far left in this image is S2.

Fig. 2.
Fig. 2.

Beam crossing setup. BS, beam splitter; M, mirrors; T, translation stage; L, lens; PBWO4, lead tungstate crystal; S, Stokes beams; P, pump; AS, anti-Stokes orders. The upper right photograph is the PBWO4 crystal showing two white spots where the two sets of sidebands are generated. Second harmonic radiation is being scattered from the edges of the crystal.

Fig. 3.
Fig. 3.

Raman sideband generation with optical vortices (OV). AS, anti-Stokes orders; P, pump beam; S, Stokes beam and orders. Rows 1 and 2 (with M5 in place; see text) are OVs and interferograms from sideband generation with P and S having P=S= (=±1), with rows 3 and 4 (without M5) having P=S= (=±1). The order and orientation of the multifurcations give the helicities and topological charges of the resulting OVs.

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