Abstract

We present a new approach for generating an optical vortex pattern with reduced sidelobes without increasing the radius of the vortex and without excessive energy loss. Our technique combines the spiral phase plate with a weak axicon to form a helical axicon. Experimental results using a liquid crystal display agree with theory.

© 2007 Optical Society of America

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2000

1999

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

M. Reicherter, T. Haist, E. U. Wagemann, and H. J. Tiziani, Opt. Lett. 24, 608 (1999).
[CrossRef]

1998

1996

1995

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinstein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

1992

S. N. Khonina, V. V. Kotlyar, M. V. Shinkarev, V. A. Soifer, and G. V. Uspleniev, J. Math. Phys. 39, 1147 (1992).

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, M. V. Shinkaryev, and G. V. Uspleniev, Opt. Commun. 91, 158 (1992).
[CrossRef]

1989

1974

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

1952

G. Toraldo di Francia, Atti Fond. Giorgio Ronchi 7, 366 (1952).

Amako, J.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Berry, M. V.

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

Burge, R. E.

Campos, J.

Carcole, E.

Cottrell, D. M.

Coullet, P.

P. Coullet, L. Gil, and F. Rocca, Opt. Commun. 73, 403 (1989).
[CrossRef]

Davis, J. A.

di Francia, G. Toraldo

G. Toraldo di Francia, Atti Fond. Giorgio Ronchi 7, 366 (1952).

Ding, J.

Elfstrom, H.

Friberg, A. T.

Friese, M. E. J.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinstein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

Gahagan, K. T.

Gil, L.

P. Coullet, L. Gil, and F. Rocca, Opt. Commun. 73, 403 (1989).
[CrossRef]

Guo, C.

Haist, T.

Han, Y.

He, H.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinstein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

Heckenberg, N. R.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinstein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

Khonina, S. N.

V. V. Kotlyar, A. A. Kovalev, S. N. Khonina, R. V. Skidanov, V. A. Soifer, H. Elfstrom, N. Tossavainen, and J. Turunen, Appl. Opt. 45, 2656 (2006).
[CrossRef] [PubMed]

V. V. Kotlyar, S. N. Khonina, A. A. Kovalev, V. A. Soifer, H. Elfstrom, and J. Turunen, Opt. Lett. 31, 1597 (2006).
[CrossRef] [PubMed]

S. N. Khonina, V. V. Kotlyar, M. V. Shinkarev, V. A. Soifer, and G. V. Uspleniev, J. Math. Phys. 39, 1147 (1992).

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, M. V. Shinkaryev, and G. V. Uspleniev, Opt. Commun. 91, 158 (1992).
[CrossRef]

Kotlyar, V. V.

V. V. Kotlyar, S. N. Khonina, A. A. Kovalev, V. A. Soifer, H. Elfstrom, and J. Turunen, Opt. Lett. 31, 1597 (2006).
[CrossRef] [PubMed]

V. V. Kotlyar, A. A. Kovalev, S. N. Khonina, R. V. Skidanov, V. A. Soifer, H. Elfstrom, N. Tossavainen, and J. Turunen, Appl. Opt. 45, 2656 (2006).
[CrossRef] [PubMed]

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, M. V. Shinkaryev, and G. V. Uspleniev, Opt. Commun. 91, 158 (1992).
[CrossRef]

S. N. Khonina, V. V. Kotlyar, M. V. Shinkarev, V. A. Soifer, and G. V. Uspleniev, J. Math. Phys. 39, 1147 (1992).

Kovalev, A. A.

Lin, J.

Liu, X.

McNamara, D. E.

Nye, J. F.

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

Reicherter, M.

Ren, X.

Rocca, F.

P. Coullet, L. Gil, and F. Rocca, Opt. Commun. 73, 403 (1989).
[CrossRef]

Rubinstein-Dunlop, H.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinstein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

Shinkarev, M. V.

S. N. Khonina, V. V. Kotlyar, M. V. Shinkarev, V. A. Soifer, and G. V. Uspleniev, J. Math. Phys. 39, 1147 (1992).

Shinkaryev, M. V.

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, M. V. Shinkaryev, and G. V. Uspleniev, Opt. Commun. 91, 158 (1992).
[CrossRef]

Skidanov, R. V.

Soifer, V. A.

V. V. Kotlyar, A. A. Kovalev, S. N. Khonina, R. V. Skidanov, V. A. Soifer, H. Elfstrom, N. Tossavainen, and J. Turunen, Appl. Opt. 45, 2656 (2006).
[CrossRef] [PubMed]

V. V. Kotlyar, S. N. Khonina, A. A. Kovalev, V. A. Soifer, H. Elfstrom, and J. Turunen, Opt. Lett. 31, 1597 (2006).
[CrossRef] [PubMed]

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, M. V. Shinkaryev, and G. V. Uspleniev, Opt. Commun. 91, 158 (1992).
[CrossRef]

S. N. Khonina, V. V. Kotlyar, M. V. Shinkarev, V. A. Soifer, and G. V. Uspleniev, J. Math. Phys. 39, 1147 (1992).

Sonehara, T.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Swartzlander, G. A.

Tao, S. H.

Tiziani, H. J.

Tossavainen, N.

Tsai, P.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Turunen, J.

Uspleniev, G. V.

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, M. V. Shinkaryev, and G. V. Uspleniev, Opt. Commun. 91, 158 (1992).
[CrossRef]

S. N. Khonina, V. V. Kotlyar, M. V. Shinkarev, V. A. Soifer, and G. V. Uspleniev, J. Math. Phys. 39, 1147 (1992).

Vasara, A.

Wagemann, E. U.

Wang, H.

Xu, J.

Yuan, X.

Appl. Opt.

Atti Fond. Giorgio Ronchi

G. Toraldo di Francia, Atti Fond. Giorgio Ronchi 7, 366 (1952).

J. Math. Phys.

S. N. Khonina, V. V. Kotlyar, M. V. Shinkarev, V. A. Soifer, and G. V. Uspleniev, J. Math. Phys. 39, 1147 (1992).

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

Opt. Commun.

S. N. Khonina, V. V. Kotlyar, V. A. Soifer, M. V. Shinkaryev, and G. V. Uspleniev, Opt. Commun. 91, 158 (1992).
[CrossRef]

P. Coullet, L. Gil, and F. Rocca, Opt. Commun. 73, 403 (1989).
[CrossRef]

Opt. Eng.

J. A. Davis, P. Tsai, D. M. Cottrell, T. Sonehara, and J. Amako, Opt. Eng. 38, 1051 (1999).
[CrossRef]

Opt. Lett.

Phys. Rev. Lett.

H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinstein-Dunlop, Phys. Rev. Lett. 75, 826 (1995).
[CrossRef] [PubMed]

Proc. R. Soc. London, Ser. A

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

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Figures (2)

Fig. 1
Fig. 1

(a) SPP phase pattern ( n = 10 ) , (b) HA phase pattern ( n = 10 , α = 0.584 mm 1 ), (c) pattern multiplied by an aperture ( R = 4.6 mm ) , and (d) final pattern encoded onto the SLM combining the HA, the aperture ( R = 4.6 mm ) , and the focusing lens ( f = 2 m ) .

Fig. 2
Fig. 2

Fraunhofer diffraction patterns showing the (a) theoretical intensity, (b) experimental intensity, and (c) comparison of the theory and experiment for an SPP phase pattern with n = 10 and (d) theoretical intensity, (e) experimental intensity, and (f) comparison of theory and experiment for a HA pattern with n = 10 and α = 0.584 mm 1 . Each image is 3.43 mm × 3.43 mm .

Equations (1)

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F n ( ρ , θ ) = ( i ) n + 1 exp ( i n θ ) n ! ( k R 2 f ) ( k R ρ 2 f ) n m = 0 ( i α R ) m ( m + n + 2 ) m ! F 2 1 ( m + n + 2 2 , m + n + 4 2 , n + 1 , ( k R ρ 2 f ) 2 ) ,

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