Abstract

We have experimentally reproduced ring-shaped beams from the scattered Laguerre–Gaussian and Bessel–Gaussian beams. A rotating ground glass plate is used as a scattering medium, and a plano–convex lens collects the scattered light to generate ring-shaped beams at the Fourier plane. The obtained experimental results are supported with the numerical results and are in good agreement with the theoretical results proposed by Wang et al. [Opt. Express 17, 22366 (2009)].

© 2013 Optical Society of America

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2013 (2)

2012 (2)

2011 (1)

2010 (3)

2009 (2)

F. Wang, Y. Cai, and O. Korotkova, Opt. Express 17, 22366 (2009).
[CrossRef]

F. Wang, Y. Cai, and O. Korotkova, Opt. Commun. 282, 3408 (2009).
[CrossRef]

2008 (1)

2007 (1)

G. M. Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

2006 (1)

2005 (2)

1998 (1)

1994 (1)

M. W. Beijersbergen, R. P. C. Coerwinke, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

1992 (1)

1987 (1)

F. Gori, G. Guattari, and C. Padovani, Opt. Commun. 64, 311 (1987).
[CrossRef]

1970 (1)

T. Asakura, Opto-Electronics 2, 115 (1970).
[CrossRef]

Abbondanzieri, E. A.

Allen, L.

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP, 2003).

Asakura, T.

T. Asakura, Opto-Electronics 2, 115 (1970).
[CrossRef]

Banerji, J.

Barnett, S. M.

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP, 2003).

Bashkansky, M.

Beijersbergen, M. W.

M. W. Beijersbergen, R. P. C. Coerwinke, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Block, S. M.

Cai, Y.

F. Wang, X. Liu, Y. Yuan, and Y. Cai, Opt. Lett. 38, 1814 (2013).
[CrossRef]

F. Wang, Y. Cai, and O. Korotkova, Opt. Commun. 282, 3408 (2009).
[CrossRef]

F. Wang, Y. Cai, and O. Korotkova, Opt. Express 17, 22366 (2009).
[CrossRef]

C. Zhao, Y. Cai, F. Wang, X. Lu, and Y. Wang, Opt. Lett. 33, 1389 (2008).
[CrossRef]

Y. Cai, Propagation of Some Coherent and Partially Coherent Laser Beams (Royal Institute of Technology, 2006).

Coerwinke, R. P. C.

M. W. Beijersbergen, R. P. C. Coerwinke, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Dholakia, K.

D. McGloin and K. Dholakia, Contemp. Phys. 46, 15 (2005).
[CrossRef]

Fatemi, F. K.

Gahagan, K. T.

Gori, F.

F. Gori, G. Guattari, and C. Padovani, Opt. Commun. 64, 311 (1987).
[CrossRef]

Guattari, G.

F. Gori, G. Guattari, and C. Padovani, Opt. Commun. 64, 311 (1987).
[CrossRef]

Heckenberg, N. R.

Kartner, F. X.

Korotkova, O.

Krishna, Y.

A. Kumar, P. Vaity, Y. Krishna, and R. P. Singh, Opt. Lasers Eng. 48, 276 (2010).
[CrossRef]

Kristensen, M.

M. W. Beijersbergen, R. P. C. Coerwinke, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Kumar, A.

A. Kumar, J. Banerji, and R. P. Singh, Phys. Rev. A 86, 013825 (2012).
[CrossRef]

S. Prabhakar, A. Kumar, J. Banerji, and R. P. Singh, Opt. Lett. 36, 4398 (2011).
[CrossRef]

A. Kumar, P. Vaity, Y. Krishna, and R. P. Singh, Opt. Lasers Eng. 48, 276 (2010).
[CrossRef]

A. Kumar, J. Banerji, and R. P. Singh, Opt. Lett. 35, 3841 (2010).
[CrossRef]

Liu, X.

Lu, X.

McDuff, R.

McGloin, D.

D. McGloin and K. Dholakia, Contemp. Phys. 46, 15 (2005).
[CrossRef]

Mei, Z.

Nett, R.

Neuman, K. C.

Padgett, M. J.

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP, 2003).

Padovani, C.

F. Gori, G. Guattari, and C. Padovani, Opt. Commun. 64, 311 (1987).
[CrossRef]

Prabhakar, S.

Putnam, W. P.

Schimpf, D. N.

Schulte, J.

Schweiger, G.

Singh, R. P.

A. Kumar, J. Banerji, and R. P. Singh, Phys. Rev. A 86, 013825 (2012).
[CrossRef]

S. Prabhakar, A. Kumar, J. Banerji, and R. P. Singh, Opt. Lett. 36, 4398 (2011).
[CrossRef]

A. Kumar, P. Vaity, Y. Krishna, and R. P. Singh, Opt. Lasers Eng. 48, 276 (2010).
[CrossRef]

A. Kumar, J. Banerji, and R. P. Singh, Opt. Lett. 35, 3841 (2010).
[CrossRef]

Smith, C. P.

Swartzlander, G. A.

Terriza, G. M.

G. M. Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Torner, L.

G. M. Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Torres, J. P.

G. M. Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Vaity, P.

A. Kumar, P. Vaity, Y. Krishna, and R. P. Singh, Opt. Lasers Eng. 48, 276 (2010).
[CrossRef]

Wang, F.

Wang, Y.

Weigel, T.

White, A. G.

Woerdman, J. P.

M. W. Beijersbergen, R. P. C. Coerwinke, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

Yuan, Y.

Zel, B.

Zhao, C.

Contemp. Phys. (1)

D. McGloin and K. Dholakia, Contemp. Phys. 46, 15 (2005).
[CrossRef]

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

Nat. Phys. (1)

G. M. Terriza, J. P. Torres, and L. Torner, Nat. Phys. 3, 305 (2007).
[CrossRef]

Opt. Commun. (3)

M. W. Beijersbergen, R. P. C. Coerwinke, M. Kristensen, and J. P. Woerdman, Opt. Commun. 112, 321 (1994).
[CrossRef]

F. Gori, G. Guattari, and C. Padovani, Opt. Commun. 64, 311 (1987).
[CrossRef]

F. Wang, Y. Cai, and O. Korotkova, Opt. Commun. 282, 3408 (2009).
[CrossRef]

Opt. Express (4)

Opt. Lasers Eng. (1)

A. Kumar, P. Vaity, Y. Krishna, and R. P. Singh, Opt. Lasers Eng. 48, 276 (2010).
[CrossRef]

Opt. Lett. (7)

Opto-Electronics (1)

T. Asakura, Opto-Electronics 2, 115 (1970).
[CrossRef]

Phys. Rev. A (1)

A. Kumar, J. Banerji, and R. P. Singh, Phys. Rev. A 86, 013825 (2012).
[CrossRef]

Other (2)

Y. Cai, Propagation of Some Coherent and Partially Coherent Laser Beams (Royal Institute of Technology, 2006).

L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP, 2003).

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Figures (9)

Fig. 1.
Fig. 1.

Experimental setup for the generation of ring-shaped beams. M, mirror; BS, beam splitter; SLM, spatial light modulator; A, aperture; L1, L2, plano–convex lens.

Fig. 2.
Fig. 2.

Images showing the intensity distributions of scattered second order LG (a)–(d) and BG (e)–(h) beams; (a), (e) are recorded after the ground glass and (b), (f) after the lens, while (c), (g) and (d), (h) are recorded at same places when the ground glass is rotating (linear speed 72.1 cm/s).

Fig. 3.
Fig. 3.

Far field intensity distribution of the scattered LG beams of different azimuthal indices (m=2, 4, 6) through a RGG plate for different widths of the incident beam, 0.496 mm (top), 0.412 mm (middle), and 0.321 mm (bottom).

Fig. 4.
Fig. 4.

Far field intensity distribution of the scattered BG beams for same conditions as in Fig. 3.

Fig. 5.
Fig. 5.

Line profiles (intensity distribution) along the core of ring-shaped beams generated from scattered second-order LG (left) and BG (right) beams at different speeds of the RGG plate (top) and for different incident beam widths (bottom).

Fig. 6.
Fig. 6.

Theoretical results for far field intensity distribution of the scattered LG beams of different azimuthal indices (m=2, 4, 6) through a RGG plate for different σ values in [13], 0.496 mm (top), 0.412 mm (middle), and 0.321 mm (bottom).

Fig. 7.
Fig. 7.

(a) Experimental (top) and theoretical (bottom) far field intensity distributions of the scattered LG beam of azimuthal index (m=1) through a RGG plate for different σ values in [13] 0.496 mm (left), 0.412 mm (middle), and 0.140 mm (right). (b) The line profiles of theoretical far field intensity distributions of scattered first order vortex for different incident beam widths.

Fig. 8.
Fig. 8.

Line profiles (intensity distribution) along the centers of far field intensity distributions of scattered (a) LG and (b) BG beams for m=16.

Fig. 9.
Fig. 9.

Plot showing the shifting of focal plane with the position of lens from the RGG plate for different beam widths.

Equations (2)

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W(x1,y1,x2,y2,0)=I1(x1,y1,0)I2(x2,y2,0)g(x1x2,y1y2,0).
A=1(z2f),B=z2+z1(1(z2f)),C=1f,D=1(z1f).

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