Abstract

A super-length optical needle (14λ) of strong transversally polarized field with homogeneous intensity along the optical axis and subdiffraction beam size (0.9λ) can be generated by focusing a hybridly polarized vector beam through a dielectric interface with an annular high-NA lens. Moreover, it is found that the polarization of the cross section near the focal plane is radial variant. Such a nondiffracting optical needle may have applications in atom-optical experiments, such as with atom trap and atom switches.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003).
    [CrossRef]
  2. K. S. Youngworth and T. G. Brown, Opt. Express 7, 77 (2000).
    [CrossRef]
  3. H. Lin, B. H. Jia, and M. Gu, Opt. Lett. 36, 2471 (2011).
    [CrossRef]
  4. Q. Zhan and J. R. Leger, Opt. Express 10, 324 (2002).
  5. G. H. Yuan, S. B. Wei, and X. C. Yuan, Opt. Lett. 36, 3479 (2011).
    [CrossRef]
  6. B. Tian and J. X. Pu, Opt. Lett. 36, 2014 (2011).
    [CrossRef]
  7. Z. M. Zhang, J. X. Pu, and X. Q. Wang, Opt. Lett. 33, 49 (2008).
    [CrossRef]
  8. K. Huang, P. Shi, X. Kang, X. Zhang, and Y. Li, Opt. Lett. 35, 965 (2010).
    [CrossRef]
  9. H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photon. 2, 501 (2008).
    [CrossRef]
  10. C. Kuang, X. Hao, X. Liu, T. Wang, and Y. Ku, Opt. Commun. 284, 1766 (2011).
    [CrossRef]
  11. D. P. Biss and T. G. Brown, Opt. Express 9, 490 (2001).
    [CrossRef]
  12. X. L. Wang, J. Chen, Y. N. Li, J. P. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
    [CrossRef]
  13. B. Richards and E. Wolf, Proc. R. Soc. A 253, 358(1959).
    [CrossRef]
  14. P. Török, P. Varga, and G. R. Booker, J. Opt. Soc. Am. A 12, 2136 (1995).
    [CrossRef]
  15. M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge, 1999).
  16. X. L. Wang, J. P. Ding, W. J. Ni, C. S. Guo, and H. T. Wang, Opt. Lett. 32, 3549 (2007).
    [CrossRef]
  17. Y. Q. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
    [CrossRef]
  18. Y. Shin, K. Kim, J. Kim, H. Noh, and W. Jhe, Opt. Lett. 26, 119 (2001).
    [CrossRef]

2011 (4)

2010 (2)

X. L. Wang, J. Chen, Y. N. Li, J. P. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

K. Huang, P. Shi, X. Kang, X. Zhang, and Y. Li, Opt. Lett. 35, 965 (2010).
[CrossRef]

2008 (2)

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photon. 2, 501 (2008).
[CrossRef]

Z. M. Zhang, J. X. Pu, and X. Q. Wang, Opt. Lett. 33, 49 (2008).
[CrossRef]

2007 (2)

X. L. Wang, J. P. Ding, W. J. Ni, C. S. Guo, and H. T. Wang, Opt. Lett. 32, 3549 (2007).
[CrossRef]

Y. Q. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

2003 (1)

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

2002 (1)

2001 (2)

2000 (1)

1995 (1)

1959 (1)

B. Richards and E. Wolf, Proc. R. Soc. A 253, 358(1959).
[CrossRef]

Biss, D. P.

Booker, G. R.

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge, 1999).

Brown, T. G.

Chen, J.

X. L. Wang, J. Chen, Y. N. Li, J. P. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

Chiu, D. T.

Y. Q. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

Chong, C. T.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photon. 2, 501 (2008).
[CrossRef]

Ding, J. P.

X. L. Wang, J. Chen, Y. N. Li, J. P. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

X. L. Wang, J. P. Ding, W. J. Ni, C. S. Guo, and H. T. Wang, Opt. Lett. 32, 3549 (2007).
[CrossRef]

Dorn, R.

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

Edgar, J. S.

Y. Q. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

Gu, M.

Guo, C. S.

X. L. Wang, J. Chen, Y. N. Li, J. P. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

X. L. Wang, J. P. Ding, W. J. Ni, C. S. Guo, and H. T. Wang, Opt. Lett. 32, 3549 (2007).
[CrossRef]

Hao, X.

C. Kuang, X. Hao, X. Liu, T. Wang, and Y. Ku, Opt. Commun. 284, 1766 (2011).
[CrossRef]

Huang, K.

Jeffries, G. D. M.

Y. Q. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

Jhe, W.

Jia, B. H.

Kang, X.

Kim, J.

Kim, K.

Ku, Y.

C. Kuang, X. Hao, X. Liu, T. Wang, and Y. Ku, Opt. Commun. 284, 1766 (2011).
[CrossRef]

Kuang, C.

C. Kuang, X. Hao, X. Liu, T. Wang, and Y. Ku, Opt. Commun. 284, 1766 (2011).
[CrossRef]

Leger, J. R.

Leuchs, G.

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

Li, Y.

Li, Y. N.

X. L. Wang, J. Chen, Y. N. Li, J. P. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

Lin, H.

Liu, X.

C. Kuang, X. Hao, X. Liu, T. Wang, and Y. Ku, Opt. Commun. 284, 1766 (2011).
[CrossRef]

Lukyanchuk, B.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photon. 2, 501 (2008).
[CrossRef]

McGloin, D.

Y. Q. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

Ni, W. J.

Noh, H.

Pu, J. X.

Quabis, S.

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

Richards, B.

B. Richards and E. Wolf, Proc. R. Soc. A 253, 358(1959).
[CrossRef]

Sheppard, C.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photon. 2, 501 (2008).
[CrossRef]

Shi, L.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photon. 2, 501 (2008).
[CrossRef]

Shi, P.

Shin, Y.

Tian, B.

Török, P.

Varga, P.

Wang, H.

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photon. 2, 501 (2008).
[CrossRef]

Wang, H. T.

X. L. Wang, J. Chen, Y. N. Li, J. P. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

X. L. Wang, J. P. Ding, W. J. Ni, C. S. Guo, and H. T. Wang, Opt. Lett. 32, 3549 (2007).
[CrossRef]

Wang, T.

C. Kuang, X. Hao, X. Liu, T. Wang, and Y. Ku, Opt. Commun. 284, 1766 (2011).
[CrossRef]

Wang, X. L.

X. L. Wang, J. Chen, Y. N. Li, J. P. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

X. L. Wang, J. P. Ding, W. J. Ni, C. S. Guo, and H. T. Wang, Opt. Lett. 32, 3549 (2007).
[CrossRef]

Wang, X. Q.

Wei, S. B.

Wolf, E.

B. Richards and E. Wolf, Proc. R. Soc. A 253, 358(1959).
[CrossRef]

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge, 1999).

Youngworth, K. S.

Yuan, G. H.

Yuan, X. C.

Zhan, Q.

Zhang, X.

Zhang, Z. M.

Zhao, Y. Q.

Y. Q. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

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

Nat. Photon. (1)

H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, and C. T. Chong, Nat. Photon. 2, 501 (2008).
[CrossRef]

Opt. Commun. (1)

C. Kuang, X. Hao, X. Liu, T. Wang, and Y. Ku, Opt. Commun. 284, 1766 (2011).
[CrossRef]

Opt. Express (3)

Opt. Lett. (7)

Phys. Rev. Lett. (3)

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

Y. Q. Zhao, J. S. Edgar, G. D. M. Jeffries, D. McGloin, and D. T. Chiu, Phys. Rev. Lett. 99, 073901 (2007).
[CrossRef]

X. L. Wang, J. Chen, Y. N. Li, J. P. Ding, C. S. Guo, and H. T. Wang, Phys. Rev. Lett. 105, 253602 (2010).
[CrossRef]

Proc. R. Soc. A (1)

B. Richards and E. Wolf, Proc. R. Soc. A 253, 358(1959).
[CrossRef]

Other (1)

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge, 1999).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1.
Fig. 1.

(a) Scheme for a hybridly polarized beam focused by an annular high-NA lens. The polarization distribution of the incident beam is plotted in the bottom, wherein (b) n=0.25, α0=0; (c) n=0.5, α0=π/4; (d) n=1, α0=π/4.

Fig. 2.
Fig. 2.

Intensity distribution near focus of the hybridly polarized beam focused by an annular high-NA lens. (a) n=0.01; (b) n=0.18; (c) n=0.23; (d) n=0.4. The other parameters are r0=2.5mm, α0=0, d=6λ, δ1=0.71, δ2=0.998, n1=1, n2=3.55, and NA=0.74, respectively.

Fig. 3.
Fig. 3.

(a) and (b) Intensity distribution along the x axis in the real focal plane (z=17.3λ) and z axis with n=0.01, n=0.18, n=0.23, and n=0.4, respectively. Inset shows the total transverse electric field intensity distribution at z=17.3λ when n=0.4. The other parameters are the same as in Fig. 2.

Fig. 4.
Fig. 4.

(a) and (b) Longitudinal intensity and phase distributions in the focal plane (z=17.3λ) with n=0.23, respectively. The other parameters are the same as in Fig. 2.

Fig. 5.
Fig. 5.

(a) Cross section of the phase difference between Ex and Ey; (b) Polarization distribution in the focal plane. The other parameters are the same as in Fig. 2.

Equations (8)

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

Ex(r,φ,z)=iK0αsinθ1cosθ1exp[ik0Φ(θ1,θ2)]exp(ik2zcosθ2)×{Ax(θ1)J0(k1rsinθ1)(ts+tpcosθ2)+J2(k1rsinθ1)×[Ax(θ1)cos(2φ)+Ay(θ1)sin(2φ)]}dθ1,
Ey(r,φ,z)=iK0αsinθ1cosθ1exp[ik0Φ(θ1,θ2)]exp(ik2zcosθ2)×{J2(k1rsinθ1)(tstpcosθ2)[Ax(θ1)sin(2φ)Ay(θ1)cos(2φ)]}dθ1,
Ez(r,φ,z)=2iK0αsinθ1cosθ1exp[ik0Φ(θ1,θ2)]exp(ik2zcosθ2)×{tpsinθ2iJ1(k1rsinθ1)(Ax(θ1)cosφ+Ay(θ1)sinφ)}dθ1,
tp=2sinθ2cosθ1sin(θ1+θ2)cos(θ1θ2)
ts=2sinθ2cosθ1sin(θ1+θ2).
Φ(θ1,θ2)=d(n1cosθ1n2cosθ2),
Ax(θ)=A0exp[i(2nπfsinθ/r0+α0)],
Ay(θ)=A0exp[i(2nπfsinθ/r0+α0)].

Metrics