Abstract

A new diffractive optical element, named as a conical light sword optical element, is presented. In the focal volume, this element produces a helical amplitude profile that can be used as an optical twister. We have experimentally demonstrated the optical healing property of the conical light sword optical beam (CLSOB). This healing property comes from the transverse helical energy flow, due to the evolution of multiple unipolar vortices in the propagation of CLSOB. We envisage that this spiral intensity profile and optical healing property of the beam find potential applications in propagation through a scattering and turbulent media, imaging with extended depth of field, and in optical tweezers.

© 2014 Optical Society of America

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2013 (3)

N. Hermosa, C. Rosales-Guzmán, and J. P. Torres, Opt. Lett. 38, 383 (2013).
[CrossRef]

B. K. Singh, M. Bahl, D. S. Mehta, and P. Senthilkumaran, Opt. Commun. 293, 15 (2013).
[CrossRef]

B. K. Singh, D. S. Mehta, and P. Senthilkumaran, J. Mod. Opt. 60, 1027 (2013).
[CrossRef]

2012 (3)

J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, Opt. Express 20, 18955 (2012).
[CrossRef]

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

V. Kumar, V. V. G. Krishna Inavalli, and N. K. Viswanathan, Opt. Commun. 285, 4866 (2012).
[CrossRef]

2011 (4)

2010 (1)

F. O. Fahrbach, P. Simon, and A. Rohrbach, Nat. Photonics 4, 780 (2010).
[CrossRef]

2009 (1)

D. P. Ghai, P. Senthilkumaran, and R. S. Sirohi, Opt. Lasers Eng. 47, 123 (2009).
[CrossRef]

2008 (2)

2007 (1)

2004 (1)

2002 (1)

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

1998 (1)

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

1997 (1)

S. Sogomonian, S. Klewitz, and S. Herminghaus, Opt. Commun. 139, 313 (1997).
[CrossRef]

1990 (1)

A. Kołodziejczyk, S. Bará, Z. Jaroszewicz, and M. Sypek, J. Mod. Opt. 37, 1283 (1990).
[CrossRef]

Alcalá-Ochoa, N.

Anguiano-Morales, M.

Bahl, M.

B. K. Singh, M. Bahl, D. S. Mehta, and P. Senthilkumaran, Opt. Commun. 293, 15 (2013).
[CrossRef]

Bará, S.

A. Kołodziejczyk, S. Bará, Z. Jaroszewicz, and M. Sypek, J. Mod. Opt. 37, 1283 (1990).
[CrossRef]

Bouchal, Z.

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

Broky, J.

Cannan, D.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Chávez-Cerda, S.

Chen, Z.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Chlup, M.

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

Christodoulides, D. N.

Daria, V. R.

David Iturbe-Castillo, M.

Dennis, M. R.

Dholakia, K.

J. D. Ring, J. Lindberg, A. Mourka, M. Mazilu, K. Dholakia, and M. R. Dennis, Opt. Express 20, 18955 (2012).
[CrossRef]

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

Dogariu, A.

Fahrbach, F. O.

F. O. Fahrbach, P. Simon, and A. Rohrbach, Nat. Photonics 4, 780 (2010).
[CrossRef]

Garcés-Chávez, V.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

Gbur, G.

Ghai, D. P.

D. P. Ghai, P. Senthilkumaran, and R. S. Sirohi, Opt. Lasers Eng. 47, 123 (2009).
[CrossRef]

Glückstad, J.

Goto, M.

Herminghaus, S.

S. Sogomonian, S. Klewitz, and S. Herminghaus, Opt. Commun. 139, 313 (1997).
[CrossRef]

Hermosa, N.

Hu, Y.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Jaroszewicz, Z.

A. Kołodziejczyk, S. Bará, Z. Jaroszewicz, and M. Sypek, J. Mod. Opt. 37, 1283 (1990).
[CrossRef]

Klewitz, S.

S. Sogomonian, S. Klewitz, and S. Herminghaus, Opt. Commun. 139, 313 (1997).
[CrossRef]

Kolodziejczyk, A.

A. Kołodziejczyk, S. Bará, Z. Jaroszewicz, and M. Sypek, J. Mod. Opt. 37, 1283 (1990).
[CrossRef]

Kozawa, Y.

Krishna Inavalli, V. V. G.

V. Kumar, V. V. G. Krishna Inavalli, and N. K. Viswanathan, Opt. Commun. 285, 4866 (2012).
[CrossRef]

Kumar, V.

V. Kumar, V. V. G. Krishna Inavalli, and N. K. Viswanathan, Opt. Commun. 285, 4866 (2012).
[CrossRef]

Li, T.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Lindberg, J.

Martínez, A.

Mazilu, M.

McGloin, D.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

Mehta, D. S.

B. K. Singh, M. Bahl, D. S. Mehta, and P. Senthilkumaran, Opt. Commun. 293, 15 (2013).
[CrossRef]

B. K. Singh, D. S. Mehta, and P. Senthilkumaran, J. Mod. Opt. 60, 1027 (2013).
[CrossRef]

Melville, H.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

Morandotti, R.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Mourka, A.

Palima, D. Z.

Ramachandran, S.

Ring, J. D.

Rohrbach, A.

F. O. Fahrbach, P. Simon, and A. Rohrbach, Nat. Photonics 4, 780 (2010).
[CrossRef]

Rosales-Guzmán, C.

Sato, S.

Senthilkumaran, P.

B. K. Singh, M. Bahl, D. S. Mehta, and P. Senthilkumaran, Opt. Commun. 293, 15 (2013).
[CrossRef]

B. K. Singh, D. S. Mehta, and P. Senthilkumaran, J. Mod. Opt. 60, 1027 (2013).
[CrossRef]

D. P. Ghai, P. Senthilkumaran, and R. S. Sirohi, Opt. Lasers Eng. 47, 123 (2009).
[CrossRef]

Sibbett, W.

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

Simon, P.

F. O. Fahrbach, P. Simon, and A. Rohrbach, Nat. Photonics 4, 780 (2010).
[CrossRef]

Singh, B. K.

B. K. Singh, D. S. Mehta, and P. Senthilkumaran, J. Mod. Opt. 60, 1027 (2013).
[CrossRef]

B. K. Singh, M. Bahl, D. S. Mehta, and P. Senthilkumaran, Opt. Commun. 293, 15 (2013).
[CrossRef]

Singh, R. P.

Sirohi, R. S.

D. P. Ghai, P. Senthilkumaran, and R. S. Sirohi, Opt. Lasers Eng. 47, 123 (2009).
[CrossRef]

Siviloglou, G. A.

Sogomonian, S.

S. Sogomonian, S. Klewitz, and S. Herminghaus, Opt. Commun. 139, 313 (1997).
[CrossRef]

Steinvurzel, P.

Sypek, M.

A. Kołodziejczyk, S. Bará, Z. Jaroszewicz, and M. Sypek, J. Mod. Opt. 37, 1283 (1990).
[CrossRef]

Tantiwanichapan, K.

Tao, S. H.

Torres, J. P.

Tyson, R. K.

Vaity, P.

Viswanathan, N. K.

V. Kumar, V. V. G. Krishna Inavalli, and N. K. Viswanathan, Opt. Commun. 285, 4866 (2012).
[CrossRef]

Vyas, S.

Wagner, J.

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

Yin, X.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Yuan, X.

Zhang, P.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Zhang, X.

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Appl. Opt. (1)

J. Mod. Opt. (2)

A. Kołodziejczyk, S. Bará, Z. Jaroszewicz, and M. Sypek, J. Mod. Opt. 37, 1283 (1990).
[CrossRef]

B. K. Singh, D. S. Mehta, and P. Senthilkumaran, J. Mod. Opt. 60, 1027 (2013).
[CrossRef]

J. Opt. Soc. Am. A (3)

Nat. Photonics (1)

F. O. Fahrbach, P. Simon, and A. Rohrbach, Nat. Photonics 4, 780 (2010).
[CrossRef]

Nature (1)

V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Nature 419, 145 (2002).
[CrossRef]

Opt. Commun. (4)

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

S. Sogomonian, S. Klewitz, and S. Herminghaus, Opt. Commun. 139, 313 (1997).
[CrossRef]

V. Kumar, V. V. G. Krishna Inavalli, and N. K. Viswanathan, Opt. Commun. 285, 4866 (2012).
[CrossRef]

B. K. Singh, M. Bahl, D. S. Mehta, and P. Senthilkumaran, Opt. Commun. 293, 15 (2013).
[CrossRef]

Opt. Express (3)

Opt. Lasers Eng. (1)

D. P. Ghai, P. Senthilkumaran, and R. S. Sirohi, Opt. Lasers Eng. 47, 123 (2009).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. Lett. (1)

P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, and X. Zhang, Phys. Rev. Lett. 109, 193901 (2012).
[CrossRef]

Supplementary Material (1)

» Media 1: AVI (1640 KB)     

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Figures (9)

Fig. 1.
Fig. 1.

Phase map of (a) CLSOE and (b) LSOE.

Fig. 2.
Fig. 2.

Diffraction pattern of CLSOE in the FT plane. The spiral intensity profile is seen in each of the diffracted orders, and the first order of the diffraction pattern is filtered to carry out the experiment of optical healing of the beam.

Fig. 3.
Fig. 3.

Experimental setup to detect the optical healing property of the CLSOB. P1 and P2 polarizers; BS, beam splitter; SLM, spatial light modulator; A, aperture; L1, FT lens; L2, imaging lens; CCD, camera.

Fig. 4.
Fig. 4.

Optical healing of the CLSOB in the focal volume for different obstructions. (a) The first row shows the CGH, simulated, and experimental spiral intensity profiles at the focal volume. Rows (b)–(e) correspond to the blocked CGH, where the blocks are oriented at different angles. The angular width of each block is Δθ=π/9. The numerical simulation and experimental results corresponding to these masked CGHs are given in second and third columns, respectively.

Fig. 5.
Fig. 5.

Block sizes used in CGHs. (a), (b), and (c) are Δθ=π/6, π/4, and π/3, respectively.

Fig. 6.
Fig. 6.

Results corresponding to the CGH embedded with an annular region of size Δr=2.11mm. (a) The annular region is opaque. (b) The annular region is transparent and the rest is opaque.

Fig. 7.
Fig. 7.

Results corresponding to the CGH embedded with rectangular blocks of sizes (a) Δy=1.28mm and (b) Δx=1.28mm.

Fig. 8.
Fig. 8.

(a) Experimental (zoomed result) and (b) simulated interferograms of CLSOB with a tilted reference plane beam.

Fig. 9.
Fig. 9.

Transverse internal energy flow of CLSOB at (a) z=0, (b) z=f/4, and (c) z=f focal plane. (Media 1) The transverse energy flow at various planes from CLSOE to the lens L1.

Equations (1)

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ψ(r,θ)=exp(ikr/2(fo+f1×(θπ)/π)),

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