Abstract

A method to construct spiral phase plates (SPPs) from quarter-wave plates and spatially variable half-wave plates (SVHWPs) is proposed. Optical vortices were experimentally generated by using SPPs made of polarization-dependent devices. The topological charge of the optical vortex can be also determined by the structure of the SVHWP and the polarization of the incident beam.

© 2014 Optical Society of America

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References

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J. T. Xin, C. Q. Gao, C. Li, and Z. Wang, Appl. Phys. B 108, 703 (2012).
[CrossRef]

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M. Beresna, M. Gecevičius, P. G. Kazansky, and T. Gertus, Appl. Phys. Lett. 98, 201101 (2011).
[CrossRef]

2008 (2)

G. Machavariani, Y. Lumer, I. Moshe, A. Meir, and S. Jackel, Opt. Commun. 281, 732 (2008).
[CrossRef]

H. Kawauchi, Y. Kozawa, S. Sato, T. Sato, and S. Kawakami, Opt. Lett. 33, 4399 (2008).

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2004 (2)

2002 (1)

2001 (3)

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

X. Xu, K. Kim, W. Jhe, and N. Kwon, Phys. Rev. A 63, 063401 (2001).
[CrossRef]

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

2000 (1)

R. Oron, N. Davidson, A. A. Friesem, and E. Hasman, Opt. Commun. 182, 205 (2000).
[CrossRef]

1999 (2)

J. Courtial and M. J. Padgett, Opt. Commun. 159, 13 (1999).
[CrossRef]

Y. Song, D. Milam, and W. T. Hill, Opt. Lett. 24, 1805 (1999).
[CrossRef]

1997 (2)

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Lett. 22, 52 (1997).
[CrossRef]

T. Kuga, Y. T. Noritsugu Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

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1994 (1)

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

1992 (2)

S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, J. Mod. Opt. 39, 1147 (1992).
[CrossRef]

N. R. Heckenberg, R. G. Mcduff, C. P. Smith, and A. G. White, Opt. Lett. 17, 221 (1992).
[CrossRef]

1991 (1)

V. Y. Bazhenov, N. M. Burykin, M. S. Soskin, V. B. Taranenko, and M. V. Vasnetsov, Proc. SPIE 1574, 148 (1991).

Allen, L.

Arlt, J.

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

Barnett, S.

Bazhenov, V. Y.

V. Y. Bazhenov, N. M. Burykin, M. S. Soskin, V. B. Taranenko, and M. V. Vasnetsov, Proc. SPIE 1574, 148 (1991).

Beijersbergen, M. W.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Beresna, M.

M. Beresna, M. Gecevičius, P. G. Kazansky, and T. Gertus, Appl. Phys. Lett. 98, 201101 (2011).
[CrossRef]

Bryant, P. E.

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

Burykin, N. M.

V. Y. Bazhenov, N. M. Burykin, M. S. Soskin, V. B. Taranenko, and M. V. Vasnetsov, Proc. SPIE 1574, 148 (1991).

Coerwinkel, R. P. C.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Courtial, J.

Davidson, N.

R. Oron, N. Davidson, A. A. Friesem, and E. Hasman, Opt. Commun. 182, 205 (2000).
[CrossRef]

Dholakia, K.

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

N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Lett. 22, 52 (1997).
[CrossRef]

Franke-Arnold, S.

Friesem, A. A.

R. Oron, N. Davidson, A. A. Friesem, and E. Hasman, Opt. Commun. 182, 205 (2000).
[CrossRef]

Gahagan, K. T.

Gao, C. Q.

J. T. Xin, C. Q. Gao, C. Li, and Z. Wang, Appl. Phys. B 108, 703 (2012).
[CrossRef]

Gecevicius, M.

M. Beresna, M. Gecevičius, P. G. Kazansky, and T. Gertus, Appl. Phys. Lett. 98, 201101 (2011).
[CrossRef]

Gertus, T.

M. Beresna, M. Gecevičius, P. G. Kazansky, and T. Gertus, Appl. Phys. Lett. 98, 201101 (2011).
[CrossRef]

Gibson, G.

Hasman, E.

R. Oron, N. Davidson, A. A. Friesem, and E. Hasman, Opt. Commun. 182, 205 (2000).
[CrossRef]

Heckenberg, N. R.

Hill, W. T.

Hirano, T.

T. Kuga, Y. T. Noritsugu Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Jackel, S.

G. Machavariani, Y. Lumer, I. Moshe, A. Meir, and S. Jackel, Opt. Commun. 281, 732 (2008).
[CrossRef]

G. Machavariani, Y. Lumer, I. Moshe, and S. Jackel, Opt. Lett. 32, 1468 (2007).
[CrossRef]

Jhe, W.

X. Xu, K. Kim, W. Jhe, and N. Kwon, Phys. Rev. A 63, 063401 (2001).
[CrossRef]

Kawakami, S.

H. Kawauchi, Y. Kozawa, S. Sato, T. Sato, and S. Kawakami, Opt. Lett. 33, 4399 (2008).

Kawauchi, H.

H. Kawauchi, Y. Kozawa, S. Sato, T. Sato, and S. Kawakami, Opt. Lett. 33, 4399 (2008).

Kazansky, P. G.

M. Beresna, M. Gecevičius, P. G. Kazansky, and T. Gertus, Appl. Phys. Lett. 98, 201101 (2011).
[CrossRef]

Khonina, S. N.

S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, J. Mod. Opt. 39, 1147 (1992).
[CrossRef]

Kim, K.

X. Xu, K. Kim, W. Jhe, and N. Kwon, Phys. Rev. A 63, 063401 (2001).
[CrossRef]

Kotlyar, V. V.

S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, J. Mod. Opt. 39, 1147 (1992).
[CrossRef]

Kozawa, Y.

H. Kawauchi, Y. Kozawa, S. Sato, T. Sato, and S. Kawakami, Opt. Lett. 33, 4399 (2008).

Kristensen, M.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Kuga, T.

T. Kuga, Y. T. Noritsugu Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Kwon, N.

X. Xu, K. Kim, W. Jhe, and N. Kwon, Phys. Rev. A 63, 063401 (2001).
[CrossRef]

Li, C.

J. T. Xin, C. Q. Gao, C. Li, and Z. Wang, Appl. Phys. B 108, 703 (2012).
[CrossRef]

Lumer, Y.

G. Machavariani, Y. Lumer, I. Moshe, A. Meir, and S. Jackel, Opt. Commun. 281, 732 (2008).
[CrossRef]

G. Machavariani, Y. Lumer, I. Moshe, and S. Jackel, Opt. Lett. 32, 1468 (2007).
[CrossRef]

MacDonald, M. P.

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

Machavariani, G.

G. Machavariani, Y. Lumer, I. Moshe, A. Meir, and S. Jackel, Opt. Commun. 281, 732 (2008).
[CrossRef]

G. Machavariani, Y. Lumer, I. Moshe, and S. Jackel, Opt. Lett. 32, 1468 (2007).
[CrossRef]

Mair, A.

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

Mcduff, R. G.

Meir, A.

G. Machavariani, Y. Lumer, I. Moshe, A. Meir, and S. Jackel, Opt. Commun. 281, 732 (2008).
[CrossRef]

Milam, D.

Miyaji, G.

Miyanaga, N.

Moshe, I.

G. Machavariani, Y. Lumer, I. Moshe, A. Meir, and S. Jackel, Opt. Commun. 281, 732 (2008).
[CrossRef]

G. Machavariani, Y. Lumer, I. Moshe, and S. Jackel, Opt. Lett. 32, 1468 (2007).
[CrossRef]

Nakatsuka, M.

Noritsugu Shiokawa, Y. T.

T. Kuga, Y. T. Noritsugu Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Oron, R.

R. Oron, N. Davidson, A. A. Friesem, and E. Hasman, Opt. Commun. 182, 205 (2000).
[CrossRef]

Padgett, M.

Padgett, M. J.

Pas’ko, V.

Paterson, L.

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

Piccirillo, B.

Santamato, E.

Sasada, H.

T. Kuga, Y. T. Noritsugu Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Sasso, A.

Sato, S.

H. Kawauchi, Y. Kozawa, S. Sato, T. Sato, and S. Kawakami, Opt. Lett. 33, 4399 (2008).

Sato, T.

H. Kawauchi, Y. Kozawa, S. Sato, T. Sato, and S. Kawakami, Opt. Lett. 33, 4399 (2008).

Shimizu, Y.

T. Kuga, Y. T. Noritsugu Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Shinkaryev, M. V.

S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, J. Mod. Opt. 39, 1147 (1992).
[CrossRef]

Sibbett, W.

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

Simpson, N. B.

Smith, C. P.

Soifer, V. A.

S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, J. Mod. Opt. 39, 1147 (1992).
[CrossRef]

Song, Y.

Soskin, M. S.

V. Y. Bazhenov, N. M. Burykin, M. S. Soskin, V. B. Taranenko, and M. V. Vasnetsov, Proc. SPIE 1574, 148 (1991).

Sueda, K.

Swartzlander, G. A.

Taranenko, V. B.

V. Y. Bazhenov, N. M. Burykin, M. S. Soskin, V. B. Taranenko, and M. V. Vasnetsov, Proc. SPIE 1574, 148 (1991).

Uspleniev, G. V.

S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, J. Mod. Opt. 39, 1147 (1992).
[CrossRef]

Vasnetsov, M.

Vasnetsov, M. V.

V. Y. Bazhenov, N. M. Burykin, M. S. Soskin, V. B. Taranenko, and M. V. Vasnetsov, Proc. SPIE 1574, 148 (1991).

Vaziri, A.

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

Vella, A.

Wang, Z.

J. T. Xin, C. Q. Gao, C. Li, and Z. Wang, Appl. Phys. B 108, 703 (2012).
[CrossRef]

Weihs, G.

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

White, A. G.

Woerdman, J. P.

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Xin, J. T.

J. T. Xin, C. Q. Gao, C. Li, and Z. Wang, Appl. Phys. B 108, 703 (2012).
[CrossRef]

Xu, X.

X. Xu, K. Kim, W. Jhe, and N. Kwon, Phys. Rev. A 63, 063401 (2001).
[CrossRef]

Zeilinger, A.

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

Appl. Phys. B (1)

J. T. Xin, C. Q. Gao, C. Li, and Z. Wang, Appl. Phys. B 108, 703 (2012).
[CrossRef]

Appl. Phys. Lett. (1)

M. Beresna, M. Gecevičius, P. G. Kazansky, and T. Gertus, Appl. Phys. Lett. 98, 201101 (2011).
[CrossRef]

J. Mod. Opt. (1)

S. N. Khonina, V. V. Kotlyar, M. V. Shinkaryev, V. A. Soifer, and G. V. Uspleniev, J. Mod. Opt. 39, 1147 (1992).
[CrossRef]

Nature (1)

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

Opt. Commun. (4)

G. Machavariani, Y. Lumer, I. Moshe, A. Meir, and S. Jackel, Opt. Commun. 281, 732 (2008).
[CrossRef]

J. Courtial and M. J. Padgett, Opt. Commun. 159, 13 (1999).
[CrossRef]

M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

R. Oron, N. Davidson, A. A. Friesem, and E. Hasman, Opt. Commun. 182, 205 (2000).
[CrossRef]

Opt. Express (3)

Opt. Lett. (6)

Phys. Rev. A (1)

X. Xu, K. Kim, W. Jhe, and N. Kwon, Phys. Rev. A 63, 063401 (2001).
[CrossRef]

Phys. Rev. Lett. (1)

T. Kuga, Y. T. Noritsugu Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, Phys. Rev. Lett. 78, 4713 (1997).
[CrossRef]

Proc. SPIE (1)

V. Y. Bazhenov, N. M. Burykin, M. S. Soskin, V. B. Taranenko, and M. V. Vasnetsov, Proc. SPIE 1574, 148 (1991).

Science (1)

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

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Figures (8)

Fig. 1.
Fig. 1.

Structure of the SPP.

Fig. 2.
Fig. 2.

Structures of SVHWPs: (a) first SVHWP; (b) second SVHWP; and (c) third SVHWP.

Fig. 3.
Fig. 3.

Setup for generation of optical vortices. PBS, polarization beam splitter; HWP, half wave plate; BE, beam expander; SPP, spiral phase plate; CGH, computer-generated hologram; L, lens; CCD, charge coupled device.

Fig. 4.
Fig. 4.

Light field distributions of the generated helical beams.

Fig. 5.
Fig. 5.

Setup for measurement of the intensity ratio. PBS, polarization beam splitter; HWP, half-wave plate; BE, beam expander 1; SPP, spiral phase plate, BE2, beam expander 2; WP, Wollaston prism.

Fig. 6.
Fig. 6.

Intensity of two beams when the incident beam passes through the first-order SPP.

Fig. 7.
Fig. 7.

Intensity of two beams when the incident beam passes through the second-order SPP.

Fig. 8.
Fig. 8.

Light field distributions of the detected beams.

Equations (4)

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

Jλ/2(ϕ)=n=1M[cosmϕn(θ)sinmϕn(θ)sinmϕn(θ)cosmϕn(θ)],
Jλ/2(θ)=[cosmθsinmθsinmθcosmθ].
MSPP(ϕ)=Jλ/4(45°)Jλ/2(ϕ)Jλ/4(45°)=14(1+i)2[1ii1][cosmϕsinmϕsinmϕcosm][1ii1]=i[exp(imϕ)00exp(imϕ)],
Eout=MSPP(ϕ)[cosθsinθ]=exp(imϕ)cosθ[10]+exp(imϕ)sinθ[01],

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