Abstract

We have experimentally and theoretically shown that the circularly polarized beam bearing a singly charged optical vortex propagating through a uniaxial crystal can be split after focusing into the radially and azimuthally polarized beams in the vicinity of the focal area provided that the polarization handedness and the vortex topological charge have opposite signs.

© 2010 Optical Society of America

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References

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  2. R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003).
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    [PubMed]
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    [CrossRef]
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  6. M. Stalder and M. Schadt, Opt. Lett. 21, 1948 (1996).
    [CrossRef] [PubMed]
  7. T. Fadeyeva, A. Rubass, and A. Volyar, Phys. Rev. A 79, 053815 (2009).
    [CrossRef]
  8. A. Volyar and T. Fadeyeva, Opt. Spectrosc. 96, 96 (2004).
    [CrossRef]
  9. Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, J. Opt. A 6, S217 (2004).
    [CrossRef]
  10. A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
    [CrossRef]
  11. T. A. Fadeyeva and A. V. Volyar, J. Opt. Soc. Am. A 27, 381 (2010).
    [CrossRef]

2010 (3)

2009 (1)

T. Fadeyeva, A. Rubass, and A. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

2004 (2)

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 96, 96 (2004).
[CrossRef]

Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, J. Opt. A 6, S217 (2004).
[CrossRef]

2003 (2)

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003).
[CrossRef] [PubMed]

2002 (1)

1997 (1)

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

1996 (1)

Ciattoni, A.

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

Cincotti, G.

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

Dorn, R.

R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003).
[CrossRef] [PubMed]

Egorov, Yu. A.

Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, J. Opt. A 6, S217 (2004).
[CrossRef]

Fadeyeva, T.

T. Fadeyeva, A. Rubass, and A. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 96, 96 (2004).
[CrossRef]

Fadeyeva, T. A.

T. A. Fadeyeva and A. V. Volyar, J. Opt. Soc. Am. A 27, 381 (2010).
[CrossRef]

Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, J. Opt. A 6, S217 (2004).
[CrossRef]

Hirano, T.

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

Kitamura, K.

Kuga, T.

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

Leger, J.

Leuchs, G.

R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003).
[CrossRef] [PubMed]

Li, G.

Li, J.

Li, R.

Li, X.

Lin, D.

Noda, S.

Palma, C.

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

Quabis, S.

R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003).
[CrossRef] [PubMed]

Rubass, A.

T. Fadeyeva, A. Rubass, and A. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Sakai, K.

Sasada, H.

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

Schadt, M.

Shimizu, Y.

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

Shiokawa, N.

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

Stalder, M.

Torii, Y.

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

Ueda, K.

Volyar, A.

T. Fadeyeva, A. Rubass, and A. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 96, 96 (2004).
[CrossRef]

Volyar, A. V.

T. A. Fadeyeva and A. V. Volyar, J. Opt. Soc. Am. A 27, 381 (2010).
[CrossRef]

Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, J. Opt. A 6, S217 (2004).
[CrossRef]

Xia, K.

Zhan, Q.

J. Opt. A (1)

Yu. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, J. Opt. A 6, S217 (2004).
[CrossRef]

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

Opt. Express (2)

Opt. Lett. (2)

Opt. Spectrosc. (1)

A. Volyar and T. Fadeyeva, Opt. Spectrosc. 96, 96 (2004).
[CrossRef]

Phys. Rev. A (1)

T. Fadeyeva, A. Rubass, and A. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Phys. Rev. E (1)

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

Phys. Rev. Lett. (2)

R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003).
[CrossRef] [PubMed]

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

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Figures (5)

Fig. 1
Fig. 1

Sketch of the experimental setup. The longitudinal section of the focused beam is plotted for n o = 1.654 , n 3 = 1.494 at the wavelength λ = 0.634 μm , H = 2.5 m , h = 3.5 cm , d = 4.2 cm , z = 1 cm , f 1 = 5 cm , f 2 = 12.5 cm , and w 0 = 1 mm .

Fig. 2
Fig. 2

Experimentally obtained beam intensity distributions in the vicinity of the focal area.

Fig. 3
Fig. 3

(a) Theoretical and (b) experimental polarization distributions at the focal planes: (a) parameters of the system correspond to the ones indicated in Fig. 1 with f e = 96 cm and f o = 102 cm . (b) H = 76 cm , h = 3 cm , d = 7 cm , z = 1 cm , f 1 = 3 cm , f 2 = 7 cm , and w o = 1 mm .

Fig. 4
Fig. 4

Diagram of the permitted and forbidden two-focus states: H = 0 , z = 1.5 cm , h + d = 1 cm , and f 2 = 12 cm .

Fig. 5
Fig. 5

Beam quality S z ( a , Z ) : curve 1, a = 75 μm ; curve 2, a = 90 μm ; curve 3, a = 120 μm , H = 76 cm , h = 3 cm , d = 7 cm , z = 1 cm , f 1 = 5 cm , f 2 = 7 cm , and w 0 = 0.5 mm . Solid lines, theory; ○, □, experiment.

Equations (3)

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E + = ( Ψ o + Ψ e ) e i φ , E = ( Ψ o Ψ e ) e i φ ,
| Re ( q 2 o ) Re ( q 2 e ) | 2 Im ( q 2 o ) > 0 , Re ( q 2 o ) , Re ( q 2 e ) > 0.
S z ( a , Z ) = [ I + ( a ) I ( a ) ] / J ( a ) = 4 π 0 a r Re ( Ψ o Ψ e * ) d r / J ( a ) ,

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