Abstract

The effect of an incident field with a phase screw dislocation (a so-called optical vortex) on the shape of the enhanced backscattering cone was studied theoretically and demonstrated experimentally. We show that the correlation function of the incident field acts as a filter that modifies the shape of the enhanced backscattering cone. The peak value is reduced, and its width is increased as the topological charge of the phase dislocation increases.

© 2005 Optical Society of America

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References

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2002 (1)

D. Palacios, D. Rozas, and G. A. Swartzlander, Phys. Rev. Lett. 88, 103902 (2002).
[CrossRef]

1997 (1)

1996 (2)

1991 (1)

M. Tomita and H. Ikari, Phys. Rev. B 43, 3716 (1991).
[CrossRef]

1988 (5)

E. Jakeman, P. R. Tapester, and A. Weeks, J. Phys. D 21, S32 (1988).
[CrossRef]

P. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. (France) 49, 63 (1988).
[CrossRef]

E. Jakeman, J. Opt. Soc. Am. A 5, 1638 (1988).
[CrossRef]

F. C. MacKintosh and S. John, Phys. Rev. B 37, 1884 (1988).
[CrossRef]

M. B. van der Mark, M. P. van Albada, and A. Lagendijk, Phys. Rev. B 37, 3575 (1988).
[CrossRef]

1986 (1)

M. Kaveh, M. Rosenbluh, I. Edrei, and I. Freund, Phys. Rev. Lett. 57, 2049 (1986).
[CrossRef] [PubMed]

1985 (2)

M. P. Van Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985), and also Refs. 3 and 4.
[CrossRef] [PubMed]

P. E. Wolf and G. Maret, Phys. Rev. Lett. 55, 2696 (1985).
[CrossRef] [PubMed]

1984 (1)

Akkermans, E.

P. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. (France) 49, 63 (1988).
[CrossRef]

Asakura, T.

Boreman, G.

Dogariu, A.

Edrei, I.

M. Kaveh, M. Rosenbluh, I. Edrei, and I. Freund, Phys. Rev. Lett. 57, 2049 (1986).
[CrossRef] [PubMed]

Freund, I.

M. Kaveh, M. Rosenbluh, I. Edrei, and I. Freund, Phys. Rev. Lett. 57, 2049 (1986).
[CrossRef] [PubMed]

Ikari, H.

M. Tomita and H. Ikari, Phys. Rev. B 43, 3716 (1991).
[CrossRef]

Ishimaru, A.

Jakeman, E.

E. Jakeman, J. Opt. Soc. Am. A 5, 1638 (1988).
[CrossRef]

E. Jakeman, P. R. Tapester, and A. Weeks, J. Phys. D 21, S32 (1988).
[CrossRef]

John, S.

F. C. MacKintosh and S. John, Phys. Rev. B 37, 1884 (1988).
[CrossRef]

Kaveh, M.

M. Kaveh, M. Rosenbluh, I. Edrei, and I. Freund, Phys. Rev. Lett. 57, 2049 (1986).
[CrossRef] [PubMed]

Kuga, Y.

Lagendijk, A.

M. B. van der Mark, M. P. van Albada, and A. Lagendijk, Phys. Rev. B 37, 3575 (1988).
[CrossRef]

M. P. Van Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985), and also Refs. 3 and 4.
[CrossRef] [PubMed]

Law, C. T.

MacKintosh, F. C.

F. C. MacKintosh and S. John, Phys. Rev. B 37, 1884 (1988).
[CrossRef]

Maret, G.

P. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. (France) 49, 63 (1988).
[CrossRef]

P. E. Wolf and G. Maret, Phys. Rev. Lett. 55, 2696 (1985).
[CrossRef] [PubMed]

Maynard, R.

P. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. (France) 49, 63 (1988).
[CrossRef]

Okamoto, T.

Palacios, D.

D. Palacios, D. Rozas, and G. A. Swartzlander, Phys. Rev. Lett. 88, 103902 (2002).
[CrossRef]

Rosenbluh, M.

M. Kaveh, M. Rosenbluh, I. Edrei, and I. Freund, Phys. Rev. Lett. 57, 2049 (1986).
[CrossRef] [PubMed]

Rozas, D.

D. Palacios, D. Rozas, and G. A. Swartzlander, Phys. Rev. Lett. 88, 103902 (2002).
[CrossRef]

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

Swartzlander, G. A.

D. Palacios, D. Rozas, and G. A. Swartzlander, Phys. Rev. Lett. 88, 103902 (2002).
[CrossRef]

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

Tapester, P. R.

E. Jakeman, P. R. Tapester, and A. Weeks, J. Phys. D 21, S32 (1988).
[CrossRef]

Tomita, M.

M. Tomita and H. Ikari, Phys. Rev. B 43, 3716 (1991).
[CrossRef]

van Albada, M. P.

M. B. van der Mark, M. P. van Albada, and A. Lagendijk, Phys. Rev. B 37, 3575 (1988).
[CrossRef]

M. P. Van Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985), and also Refs. 3 and 4.
[CrossRef] [PubMed]

van der Mark, M. B.

M. B. van der Mark, M. P. van Albada, and A. Lagendijk, Phys. Rev. B 37, 3575 (1988).
[CrossRef]

Weeks, A.

E. Jakeman, P. R. Tapester, and A. Weeks, J. Phys. D 21, S32 (1988).
[CrossRef]

Wolf, P.

P. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. (France) 49, 63 (1988).
[CrossRef]

Wolf, P. E.

P. E. Wolf and G. Maret, Phys. Rev. Lett. 55, 2696 (1985).
[CrossRef] [PubMed]

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

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

J. Phys. (France) (1)

P. Wolf, G. Maret, E. Akkermans, and R. Maynard, J. Phys. (France) 49, 63 (1988).
[CrossRef]

J. Phys. D (1)

E. Jakeman, P. R. Tapester, and A. Weeks, J. Phys. D 21, S32 (1988).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. B (3)

M. Tomita and H. Ikari, Phys. Rev. B 43, 3716 (1991).
[CrossRef]

F. C. MacKintosh and S. John, Phys. Rev. B 37, 1884 (1988).
[CrossRef]

M. B. van der Mark, M. P. van Albada, and A. Lagendijk, Phys. Rev. B 37, 3575 (1988).
[CrossRef]

Phys. Rev. Lett. (4)

D. Palacios, D. Rozas, and G. A. Swartzlander, Phys. Rev. Lett. 88, 103902 (2002).
[CrossRef]

M. P. Van Albada and A. Lagendijk, Phys. Rev. Lett. 55, 2692 (1985), and also Refs. 3 and 4.
[CrossRef] [PubMed]

P. E. Wolf and G. Maret, Phys. Rev. Lett. 55, 2696 (1985).
[CrossRef] [PubMed]

M. Kaveh, M. Rosenbluh, I. Edrei, and I. Freund, Phys. Rev. Lett. 57, 2049 (1986).
[CrossRef] [PubMed]

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Figures (2)

Fig. 1
Fig. 1

Experimental setup: LA, argon-ion laser, 488 nm (Melles Griot); P, polarizer; BE, pinhole and beam expander; M1, M2, mirrors; BS, beam splitter; SLM, spatial light modulator (Hamamatsu X8267); A, optional aperture; RPS, rotating phase screen; L, lens; CCD, digital CCD camera (Pulnix 1040); BA, beam analyzer (Spiricon Hartmann wavefront analyzer).

Fig. 2
Fig. 2

Effect of applying phase vortices with topological charges ranging from 0 (no vortex case) to 6 on the EBS cone shape. The cone is progressively lower and broader for a higher topological charge. Right inset, result of the approximate analytical model; left inset, linear dependence of the peak enhancement factor on the topological charge.

Equations (7)

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E f ( q ) = { E i ( r n ) + E i ( r m ) exp [ i q ( r m r n ) ] } C ( r n , r m ) ,
I f ( q ) n , m = 2 Re ( { E i ( r n ) E i * ( r m )
× exp [ i q ( r m r n ) ] } P ( r n r m ) )
= 2 Re { [ E i ( r + Δ r ) E i * ( r ) exp ( i q Δ r ) ] P ( Δ r ) } .
I ̂ f ( q ) Re [ d 2 Δ r P ( Δ r ) exp ( i q Δ r ) d 2 r E i ( r + Δ r ) E i * ( r ) ] .
I ̂ f ( q ) = ( 1 + r s 2 2 w 0 2 ) 1 exp [ ( 1 + r s 2 2 w 0 2 ) 1 q 2 r s 2 4 ] .
I ̂ f ( 0 ) = [ 1 + ( r s 2 2 w 0 2 ) ( l + 1 ) ] 1 .

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