Abstract

We propose a single-beam generation scheme to obtain a bottle-hollow (BH) beam using a binary phase mask and a focusing lens. The resulting BH beam is shown to possess an open bottle-shaped null intensity region, which has two hollow tube-shaped null intensity regions located on two opposite sides of this bottle. It is found that this scheme works identically under incident illumination with radial or azimuthal polarization. Another advantage of this scheme is that the same binary mask can be employed as a focusing lens with different choices of numerical aperture (NA). Furthermore, we observe that the length of the BH beam is inversely proportional to NA2 while the diameters of both the bottle and hollow regions are inversely proportional to NA; thereby leading to an adjustable BH beam. This BH beam may find attractive applications in noninvasive manipulation of microscopic particles over large distances.

© 2014 Optical Society of America

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2012 (3)

2011 (2)

2010 (3)

2009 (2)

A. H. J. Yang, S. D. Moore, B. S. Schmidt, M. Klug, M. Lipson, and D. Erickson, Nature 457, 71 (2009).
[CrossRef]

A. S. Desyatnikov, V. G. Shvedov, A. V. Rode, W. Krolikowski, and Y. S. Kivshar, Opt. Express 17, 8201 (2009).
[CrossRef]

2008 (2)

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

Y. Zhang, Opt. Commun. 281, 508 (2008).
[CrossRef]

2007 (2)

N. Jin and Y. Rahmat-Samii, IEEE Trans. Antennas Propag. 55, 556 (2007).
[CrossRef]

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

2006 (1)

2005 (1)

M. Wei, W. Shiao, and Y. Lin, Opt. Commun. 248, 7 (2005).
[CrossRef]

2003 (2)

2002 (1)

2000 (2)

1998 (1)

I. Manek, B. Ovchinnikov, and R. Grimm, Opt. Commun. 147, 67 (1998).
[CrossRef]

1986 (1)

1959 (1)

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

Alpmann, C.

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

Arlt, J.

Ashkin, A.

Bashkansky, M.

Brown, T. G.

Cannan, D.

Cao, G. W.

Chattrapiban, N.

Chen, Z.

Cheng, W.

Chichkov, B.

Chong, C. T.

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

Christodoulides, D. N.

Chu, S.

Cofield, D.

Davidson, N.

Denz, C.

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

Desyatnikov, A. S.

Dorn, R.

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

Dziedzic, J. M.

Erickson, D.

A. H. J. Yang, S. D. Moore, B. S. Schmidt, M. Klug, M. Lipson, and D. Erickson, Nature 457, 71 (2009).
[CrossRef]

Esseling, M.

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

Fatemi, F. K.

Friedman, N.

Gaidukeviciute, A.

Grimm, R.

I. Manek, B. Ovchinnikov, and R. Grimm, Opt. Commun. 147, 67 (1998).
[CrossRef]

Hernandez, D.

Hill, W. T.

Huang, K.

Huang, S.

Izdebskaya, Y. V.

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Opt. Express 18, 3137 (2010).
[CrossRef]

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 105, 118103 (2010).
[CrossRef]

Jackel, S.

Jin, N.

N. Jin and Y. Rahmat-Samii, IEEE Trans. Antennas Propag. 55, 556 (2007).
[CrossRef]

Kachalov, D.

Kang, X.

Kaplan, A.

Khonina, S.

Kivshar, Y. S.

Klug, M.

A. H. J. Yang, S. D. Moore, B. S. Schmidt, M. Klug, M. Lipson, and D. Erickson, Nature 457, 71 (2009).
[CrossRef]

Krolikowski, W.

Leuchs, G.

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

Li, K.

Li, Y.

Li, Y. P.

Lin, Y.

M. Wei, W. Shiao, and Y. Lin, Opt. Commun. 248, 7 (2005).
[CrossRef]

Lipson, M.

A. H. J. Yang, S. D. Moore, B. S. Schmidt, M. Klug, M. Lipson, and D. Erickson, Nature 457, 71 (2009).
[CrossRef]

Liu, J.

Lukyanchuk, B.

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

Lumer, Y.

Machavariani, G.

Manek, I.

I. Manek, B. Ovchinnikov, and R. Grimm, Opt. Commun. 147, 67 (1998).
[CrossRef]

Mer, A.

Moore, S. D.

A. H. J. Yang, S. D. Moore, B. S. Schmidt, M. Klug, M. Lipson, and D. Erickson, Nature 457, 71 (2009).
[CrossRef]

Moshe, I.

Osipov, V.

Ovchinnikov, B.

I. Manek, B. Ovchinnikov, and R. Grimm, Opt. Commun. 147, 67 (1998).
[CrossRef]

Padgett, M. J.

Pavelyev, V.

Prkash, J.

Quabis, S.

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

Rahmat-Samii, Y.

N. Jin and Y. Rahmat-Samii, IEEE Trans. Antennas Propag. 55, 556 (2007).
[CrossRef]

Richards, B.

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

Rode, A. V.

Rogers, E. A.

Rose, P.

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

Roy, R.

Salazar, M.

Schmidt, B. S.

A. H. J. Yang, S. D. Moore, B. S. Schmidt, M. Klug, M. Lipson, and D. Erickson, Nature 457, 71 (2009).
[CrossRef]

Sheppard, C. J. R.

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

Shi, L.

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

Shi, P.

Shiao, W.

M. Wei, W. Shiao, and Y. Lin, Opt. Commun. 248, 7 (2005).
[CrossRef]

Shvedov, V. G.

Wang, H.

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

Wei, M.

M. Wei, W. Shiao, and Y. Lin, Opt. Commun. 248, 7 (2005).
[CrossRef]

Wolf, E.

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

Yang, A. H. J.

A. H. J. Yang, S. D. Moore, B. S. Schmidt, M. Klug, M. Lipson, and D. Erickson, Nature 457, 71 (2009).
[CrossRef]

Youngworth, K. S.

Zhang, P.

Zhang, X.

Zhang, X. B.

Zhang, Y.

Y. Zhang, Opt. Commun. 281, 508 (2008).
[CrossRef]

Zhang, Z.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

C. Alpmann, M. Esseling, P. Rose, and C. Denz, Appl. Phys. Lett. 100, 111101 (2012).
[CrossRef]

IEEE Trans. Antennas Propag. (1)

N. Jin and Y. Rahmat-Samii, IEEE Trans. Antennas Propag. 55, 556 (2007).
[CrossRef]

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

Nat. Photonics (1)

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

Nature (1)

A. H. J. Yang, S. D. Moore, B. S. Schmidt, M. Klug, M. Lipson, and D. Erickson, Nature 457, 71 (2009).
[CrossRef]

Opt. Commun. (3)

I. Manek, B. Ovchinnikov, and R. Grimm, Opt. Commun. 147, 67 (1998).
[CrossRef]

Y. Zhang, Opt. Commun. 281, 508 (2008).
[CrossRef]

M. Wei, W. Shiao, and Y. Lin, Opt. Commun. 248, 7 (2005).
[CrossRef]

Opt. Express (4)

Opt. Lett. (8)

Phys. Rev. Lett. (2)

V. G. Shvedov, A. V. Rode, Y. V. Izdebskaya, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 105, 118103 (2010).
[CrossRef]

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

Proc. R. Soc. London, Ser. A (1)

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

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Figures (4)

Fig. 1.
Fig. 1.

Schematic setup to generate BH beam with phase-controlled binary elements. The dark region between the objective and the lens denotes the area where a BH beam forms.

Fig. 2.
Fig. 2.

Generation of BH beam with a high-NA ( NA = 0.95 ) lens under incident light with (a) radially and (b) azimuthally polarized fields. For radially polarized light, the intensity profiles of its (c) longitudinal and (d) radial components are also shown.

Fig. 3.
Fig. 3.

Electric energy density distributions along the optical axis under incident light with (a) radially and (b) azimuthally polarized fields (where NA = 0.001 ), and (c) at different positions along the optical axis. The symbols in (a) and (b) denote the polarization directions of the vectorial BH beam.

Fig. 4.
Fig. 4.

(a) E-field intensity distribution at the focal plane ( z = 0 ) along the radial direction versus different NA. (b) Relationship between BH beam parameters and NA—red curve denoting BH beam length (along the optical axis) and blue curve denoting BH beam radius.

Tables (1)

Tables Icon

Table 1. Optimized Parameters of Binary Phase Mask

Equations (4)

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E i ( ρ , ϕ ) = l 0 P ( ρ ) [ ξ ( ρ , ϕ ) e ρ + η ( ρ , ϕ ) e ϕ ] ,
E ( r , ϕ , z ) = i l 0 f λ 0 θ max 0 2 π sin θ · P ( θ ) · Γ × e i k ( z cos θ + r sin θ cos ( φ ϕ ) ) d φ d θ ,
Γ = ξ ( f g ( θ ) , φ ) · T ( θ ) · [ cos θ cos φ · e x cos θ sin φ · e y sin θ · e z ] + η ( f g ( θ ) , φ ) [ sin φ · e x cos φ · e y 0 · e z ] ,
T ( θ ) = { 1 for 0 < θ < θ 1 , θ 2 < θ < θ 3 , θ 4 < θ < α 1 for θ 1 < θ < θ 2 , θ 3 < θ < θ 4 .

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