Abstract

Coherent generated self-imaging bottle beams, typically formed by interfering two coherent quasi-Bessel beams, possess a periodic array of intensity maxima and minima along their axial direction. In practice, the overall quality of the self-repeating intensity patterns is prone to unresolved large intensity variations. In this Letter, we increased consistency of intensity of self-imaging bottle beams through a spatial frequency optimization routine. By doing so, we increased the effective length of self-imaging bottle beams by 74%. Further, we showed that this approach is applicable to higher-order self-imaging beams that display complex intensity structures. The enhancement in these modified self-imaging beams could play a significant role in optical trapping, imaging, and lithography.

© 2014 Optical Society of America

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    [CrossRef]
  2. A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2013 (2)

G. S. Liu, C. H. Yang, and J. G. Wu, Opt. Eng. 52, 091714 (2013).
[CrossRef]

H. X. He, Y. F. Guan, and J. Y. Zhou, Opt. Express 21, 12539 (2013).
[CrossRef]

2010 (1)

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. A 82, 043822 (2010).
[CrossRef]

2009 (3)

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

T. Čižmár and K. Dholakia, Opt. Express 17, 15558 (2009).
[CrossRef]

R. Vasilyeu, A. Dudley, N. Khilo, and A. Forbe, Opt. Express 17, 23389 (2009).
[CrossRef]

2008 (2)

2007 (1)

Y. Y. Sun, J. Bu, L. S. Ong, and X.-C. Yuan, Appl. Phys. Lett. 91, 051101 (2007).
[CrossRef]

2006 (2)

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, New J. Phys. 8, 43 (2006).
[CrossRef]

J. Courtial and G. Whyte, Opt. Express 14, 2108 (2006).
[CrossRef]

2004 (3)

2003 (1)

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, Opt. Commun. 225, 215 (2003).
[CrossRef]

2000 (1)

1999 (2)

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A 59, R1750 (1999).
[CrossRef]

C. A. McQueen, J. Arlt, and K. Dholakia, Am. J. Phys. 67, 912 (1999).
[CrossRef]

1998 (2)

1987 (1)

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

1972 (1)

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

1836 (1)

W. H. F. Talbot, Philos. Mag. 9(56), 401 (1836).
[CrossRef]

Ahluwalia, B. P. S.

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Express 12, 5172 (2004).
[CrossRef]

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Commun. 238, 177 (2004).
[CrossRef]

Arlt, J.

J. Arlt and M. J. Padgett, Opt. Lett. 25, 191 (2000).
[CrossRef]

C. A. McQueen, J. Arlt, and K. Dholakia, Am. J. Phys. 67, 912 (1999).
[CrossRef]

Bouchal, Z.

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, New J. Phys. 8, 43 (2006).
[CrossRef]

Z. Bouchal, J. Wagner, and M. Chlup, Opt. Commun. 151, 207 (1998).
[CrossRef]

Bu, J.

Y. Y. Sun, J. Bu, L. S. Ong, and X.-C. Yuan, Appl. Phys. Lett. 91, 051101 (2007).
[CrossRef]

Cerrina, F.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

Chávez-Cerda, S.

Cheng, Y. C.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

Chlup, M.

Z. Bouchal, J. Wagner, and M. Chlup, Opt. Commun. 151, 207 (1998).
[CrossRef]

Cižmár, T.

T. Čižmár and K. Dholakia, Opt. Express 17, 15558 (2009).
[CrossRef]

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, New J. Phys. 8, 43 (2006).
[CrossRef]

Coppola, G.

Courtial, J.

Davidson, N.

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A 59, R1750 (1999).
[CrossRef]

DeMarco, B.

Dholakia, K.

T. Čižmár and K. Dholakia, Opt. Express 17, 15558 (2009).
[CrossRef]

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, Opt. Commun. 225, 215 (2003).
[CrossRef]

C. A. McQueen, J. Arlt, and K. Dholakia, Am. J. Phys. 67, 912 (1999).
[CrossRef]

Dudley, A.

Durnin, J.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Eberly, J. H.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Ferraro, P.

Finizio, A.

Forbe, A.

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Grilli, S.

Guan, Y. F.

Harasse, S.

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. A 82, 043822 (2010).
[CrossRef]

He, H. X.

Hickmann, J. M.

Isoyan, A.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

Jacobs, D.

Jiang, F.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

Khaykovich, L.

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A 59, R1750 (1999).
[CrossRef]

Khilo, N.

Kollárová, V.

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, New J. Phys. 8, 43 (2006).
[CrossRef]

Kurizki, G.

Li, J. T.

Liang, B.

Lifante, G.

G. Lifante, Integrated Photonics: Fundamentals (Wiley, 2005), Chap. 5.

Liu, G. S.

G. S. Liu, C. H. Yang, and J. G. Wu, Opt. Eng. 52, 091714 (2013).
[CrossRef]

Liu, Y. K.

Marconi, M.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

McGloin, D.

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, Opt. Commun. 225, 215 (2003).
[CrossRef]

McQueen, C. A.

C. A. McQueen, J. Arlt, and K. Dholakia, Am. J. Phys. 67, 912 (1999).
[CrossRef]

Melville, H.

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, Opt. Commun. 225, 215 (2003).
[CrossRef]

Meneses-Nava, M. A.

Menoni, C.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Momose, A.

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. A 82, 043822 (2010).
[CrossRef]

Nicola, S. D.

Ong, L. S.

Y. Y. Sun, J. Bu, L. S. Ong, and X.-C. Yuan, Appl. Phys. Lett. 91, 051101 (2007).
[CrossRef]

Ozeri, R.

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A 59, R1750 (1999).
[CrossRef]

Padgett, M. J.

Pasienski, M.

Pierattini, G.

Rocca, J.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Sibbett, W.

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, Opt. Commun. 225, 215 (2003).
[CrossRef]

Spalding, G. C.

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, Opt. Commun. 225, 215 (2003).
[CrossRef]

Sun, Y. Y.

Y. Y. Sun, J. Bu, L. S. Ong, and X.-C. Yuan, Appl. Phys. Lett. 91, 051101 (2007).
[CrossRef]

Suzuki, Y.

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. A 82, 043822 (2010).
[CrossRef]

Takeuchi, A.

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. A 82, 043822 (2010).
[CrossRef]

Talbot, W. H. F.

W. H. F. Talbot, Philos. Mag. 9(56), 401 (1836).
[CrossRef]

Tao, S. H.

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Express 12, 5172 (2004).
[CrossRef]

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Commun. 238, 177 (2004).
[CrossRef]

Urbanski, L.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

Vasilyeu, R.

Wachulak, P.

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

Wagner, J.

Z. Bouchal, J. Wagner, and M. Chlup, Opt. Commun. 151, 207 (1998).
[CrossRef]

Whyte, G.

Wong, K. S.

Wu, J. G.

G. S. Liu, C. H. Yang, and J. G. Wu, Opt. Eng. 52, 091714 (2013).
[CrossRef]

Xie, X. S.

Yan, L.

Yang, C. H.

G. S. Liu, C. H. Yang, and J. G. Wu, Opt. Eng. 52, 091714 (2013).
[CrossRef]

Yashiro, W.

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. A 82, 043822 (2010).
[CrossRef]

Yuan, X.-C.

Y. Y. Sun, J. Bu, L. S. Ong, and X.-C. Yuan, Appl. Phys. Lett. 91, 051101 (2007).
[CrossRef]

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Express 12, 5172 (2004).
[CrossRef]

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Commun. 238, 177 (2004).
[CrossRef]

Zemánek, P.

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, New J. Phys. 8, 43 (2006).
[CrossRef]

Zhang, P. Q.

Zhong, Y. C.

Zhou, J. Y.

Am. J. Phys. (1)

C. A. McQueen, J. Arlt, and K. Dholakia, Am. J. Phys. 67, 912 (1999).
[CrossRef]

Appl. Phys. Lett. (1)

Y. Y. Sun, J. Bu, L. S. Ong, and X.-C. Yuan, Appl. Phys. Lett. 91, 051101 (2007).
[CrossRef]

J. Vac. Sci. Technol. B (1)

A. Isoyan, F. Jiang, Y. C. Cheng, F. Cerrina, P. Wachulak, L. Urbanski, J. Rocca, C. Menoni, and M. Marconi, J. Vac. Sci. Technol. B 27, 2931 (2009).
[CrossRef]

New J. Phys. (1)

T. Čižmár, V. Kollárová, Z. Bouchal, and P. Zemánek, New J. Phys. 8, 43 (2006).
[CrossRef]

Opt. Commun. (3)

Z. Bouchal, J. Wagner, and M. Chlup, Opt. Commun. 151, 207 (1998).
[CrossRef]

B. P. S. Ahluwalia, X.-C. Yuan, and S. H. Tao, Opt. Commun. 238, 177 (2004).
[CrossRef]

D. McGloin, G. C. Spalding, H. Melville, W. Sibbett, and K. Dholakia, Opt. Commun. 225, 215 (2003).
[CrossRef]

Opt. Eng. (1)

G. S. Liu, C. H. Yang, and J. G. Wu, Opt. Eng. 52, 091714 (2013).
[CrossRef]

Opt. Express (7)

Opt. Lett. (3)

Optik (1)

R. W. Gerchberg and W. O. Saxton, Optik 35, 237 (1972).

Philos. Mag. (1)

W. H. F. Talbot, Philos. Mag. 9(56), 401 (1836).
[CrossRef]

Phys. Rev. A (2)

R. Ozeri, L. Khaykovich, and N. Davidson, Phys. Rev. A 59, R1750 (1999).
[CrossRef]

W. Yashiro, S. Harasse, A. Takeuchi, Y. Suzuki, and A. Momose, Phys. Rev. A 82, 043822 (2010).
[CrossRef]

Phys. Rev. Lett. (1)

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef]

Other (1)

G. Lifante, Integrated Photonics: Fundamentals (Wiley, 2005), Chap. 5.

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Figures (5)

Fig. 1.
Fig. 1.

Simulating the propagation of optical bottle beam formed by interfering two copropagating QBBs. (a) Field distribution of unmodulated bottle beam. (b) Field distribution of modulated bottle beam. (c) On-axis intensity of bottle beam before and after modulation, Gaussian and super-Gaussian fitting are performed respectively to get the effective length (FWHM of the fitting curve). The effective length of bottle beam is increased by 74% after modulation.

Fig. 2.
Fig. 2.

Self-imaging bottle beam generated by the interference of two higher-order QBBs. (a) Two QBB components with the opposing topological charge ±3. (b) Two QBB components with the same topological charge 3. The insets show the transverse structure of the beam at z=6cm.

Fig. 3.
Fig. 3.

Experimental setup. P, polarizer; SF, spatial filter; M, mirror; A, aperture; Tele, telescope; L1 and L2, lenses; Obj, microscope objective; and CCD, charge-coupled device.

Fig. 4.
Fig. 4.

Axial intensity distribution of bottle beam without and with spatial modulation.

Fig. 5.
Fig. 5.

Intensity distribution of beam field formed by three fundamental QBBs without (a) and with (b) spatial modulation.

Equations (3)

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

I(r,z,ϕ)=Jl1(kr1r)2+Jl2(kr2r)2+2AJl1(kr1r)Jl2(kr2r)×cos[(kz1kz2)z+θ],
U(r=0,z)=0kkzF(k2kz2,z=0)eikzzdkz,
Fs(kr,z=0)=i=121πkzsin[zm(kzkzi)]kzkzi.

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