Abstract

We propose a simple method for generating and controlling right- and left-handed circularly polarized (RHP and LHP) multiring modes of light beams by means of Pockels effect in a single strontium barium niobate (SBN) crystal. The numerical results show that an LHP Laguerre—Gaussian LG0l beam, propagating along the optical axis of the crystal, will partly turn into an RHP vortex light field of order l+2. Moreover, a pair of the LHP and RHP components of the output light field is LG-like modes sharing an identically radial index, which is electro-optically controllable. The power ratio between these two components depends on the applied electric field and the mode of input beam.

© 2012 Optical Society of America

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2012 (1)

N. A. Khilo, Opt. Commun. 285, 503 (2012).
[CrossRef]

2011 (4)

2010 (2)

M. Granata, C. Buy, R. Ward, and M. Barsuglia, Phys. Rev. Lett. 105, 231102 (2010).
[CrossRef]

T. Fadeyeva, Ukr. J. Phys. Opt. 11, 44 (2010).
[CrossRef]

2009 (2)

2008 (1)

2007 (1)

2006 (2)

2003 (3)

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

A. Ciattoni, G. Cincotti, and C. Palma, J. Opt. Soc. Am. A 20, 163 (2003).
[CrossRef]

V. Garcés-Chávez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia, Phys. Rev. Lett. 91, 093602 (2003).
[CrossRef]

2002 (1)

V. Garcés-Chávez, K. Volke-Sepulveda, S. Chávez-Cerda, W. Sibbett, and K. Dholakia, Phys. Rev. A 66, 063402 (2002).
[CrossRef]

2001 (1)

2000 (3)

J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000).
[CrossRef]

E. M. Wright, J. Arlt, and K. Dholakia, Phys. Rev. A 63, 013608 (2000).
[CrossRef]

Z. Ulanowski and I. K. Ludlow, Opt. Lett. 25, 1792 (2000).
[CrossRef]

1998 (1)

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgettt, J. Modern Opt. 45, 1231 (1998).
[CrossRef]

1997 (2)

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, Appl. Phys. Lett. 71, 3329 (1997).
[CrossRef]

S. Sartania, Z. Cheng, M. Lenzner, G. Tempea, C. Spielmann, and F. Krausz, Opt. Lett. 22, 1562 (1997).
[CrossRef]

Ahlawat, S.

Aït-Ameur, K.

Allen, L.

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgettt, J. Modern Opt. 45, 1231 (1998).
[CrossRef]

Ando, T.

Arlt, J.

J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000).
[CrossRef]

E. M. Wright, J. Arlt, and K. Dholakia, Phys. Rev. A 63, 013608 (2000).
[CrossRef]

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgettt, J. Modern Opt. 45, 1231 (1998).
[CrossRef]

Barsuglia, M.

M. Granata, C. Buy, R. Ward, and M. Barsuglia, Phys. Rev. Lett. 105, 231102 (2010).
[CrossRef]

Borghi, R.

Brasselet, E.

Buy, C.

M. Granata, C. Buy, R. Ward, and M. Barsuglia, Phys. Rev. Lett. 105, 231102 (2010).
[CrossRef]

Cagniot, E.

Chávez-Cerda, S.

V. Garcés-Chávez, K. Volke-Sepulveda, S. Chávez-Cerda, W. Sibbett, and K. Dholakia, Phys. Rev. A 66, 063402 (2002).
[CrossRef]

Chen, L.

Cheng, Z.

Chiu, Y.

Ciattoni, A.

A. Ciattoni, G. Cincotti, and C. Palma, J. Opt. Soc. Am. A 20, 163 (2003).
[CrossRef]

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

Cincotti, G.

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

A. Ciattoni, G. Cincotti, and C. Palma, J. Opt. Soc. Am. A 20, 163 (2003).
[CrossRef]

Dasgupta, R.

Desyatnikov, A. S.

Dholakia, K.

V. Garcés-Chávez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia, Phys. Rev. Lett. 91, 093602 (2003).
[CrossRef]

V. Garcés-Chávez, K. Volke-Sepulveda, S. Chávez-Cerda, W. Sibbett, and K. Dholakia, Phys. Rev. A 66, 063402 (2002).
[CrossRef]

E. M. Wright, J. Arlt, and K. Dholakia, Phys. Rev. A 63, 013608 (2000).
[CrossRef]

J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000).
[CrossRef]

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgettt, J. Modern Opt. 45, 1231 (1998).
[CrossRef]

Dultz, W.

V. Garcés-Chávez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia, Phys. Rev. Lett. 91, 093602 (2003).
[CrossRef]

Fadeyeva, T.

Fadeyeva, T. A.

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Fromager, M.

Fukuchi, N.

Garcés-Chávez, V.

V. Garcés-Chávez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia, Phys. Rev. Lett. 91, 093602 (2003).
[CrossRef]

V. Garcés-Chávez, K. Volke-Sepulveda, S. Chávez-Cerda, W. Sibbett, and K. Dholakia, Phys. Rev. A 66, 063402 (2002).
[CrossRef]

Godin, T.

Granata, M.

M. Granata, C. Buy, R. Ward, and M. Barsuglia, Phys. Rev. Lett. 105, 231102 (2010).
[CrossRef]

Gupta, P. K.

Hara, T.

Hirao, K.

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, Appl. Phys. Lett. 71, 3329 (1997).
[CrossRef]

Hitomi, T.

J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000).
[CrossRef]

Inoue, T.

Y. Matsuoka, Y. Kizuka, and T. Inoue, Appl. Phys. A 84, 423 (2006).
[CrossRef]

Inouye, H.

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, Appl. Phys. Lett. 71, 3329 (1997).
[CrossRef]

Ito, H.

Izdebskaya, Y.

Khilo, N. A.

N. A. Khilo, Opt. Commun. 285, 503 (2012).
[CrossRef]

Kivshar, Y. S.

Kizuka, Y.

Y. Matsuoka, Y. Kizuka, and T. Inoue, Appl. Phys. A 84, 423 (2006).
[CrossRef]

Krausz, F.

Krolikowski, W.

Lenzner, M.

Liou, J.

Ludlow, I. K.

Matsumoto, N.

Matsuoka, Y.

Y. Matsuoka, Y. Kizuka, and T. Inoue, Appl. Phys. A 84, 423 (2006).
[CrossRef]

McGloin, D.

V. Garcés-Chávez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia, Phys. Rev. Lett. 91, 093602 (2003).
[CrossRef]

Mitsuyu, T.

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, Appl. Phys. Lett. 71, 3329 (1997).
[CrossRef]

Miura, K.

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, Appl. Phys. Lett. 71, 3329 (1997).
[CrossRef]

Neshev, D. N.

Ohtake, Y.

Padgett, M. J.

V. Garcés-Chávez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia, Phys. Rev. Lett. 91, 093602 (2003).
[CrossRef]

Padgettt, M. J.

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgettt, J. Modern Opt. 45, 1231 (1998).
[CrossRef]

Palma, C.

A. Ciattoni, G. Cincotti, and C. Palma, J. Opt. Soc. Am. A 20, 163 (2003).
[CrossRef]

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

Passilly, N.

Peet, V.

Porras, M. A.

Qiu, J.

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, Appl. Phys. Lett. 71, 3329 (1997).
[CrossRef]

Rubass, A. F.

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Santarsiero, M.

Sartania, S.

Schmitzer, H.

V. Garcés-Chávez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia, Phys. Rev. Lett. 91, 093602 (2003).
[CrossRef]

She, W.

Shvedov, V.

Sibbett, W.

V. Garcés-Chávez, K. Volke-Sepulveda, S. Chávez-Cerda, W. Sibbett, and K. Dholakia, Phys. Rev. A 66, 063402 (2002).
[CrossRef]

Spielmann, C.

Taga, H.

Tempea, G.

Ulanowski, Z.

Verma, R. S.

Volke-Sepulveda, K.

V. Garcés-Chávez, K. Volke-Sepulveda, S. Chávez-Cerda, W. Sibbett, and K. Dholakia, Phys. Rev. A 66, 063402 (2002).
[CrossRef]

Volyar, A.

Volyar, A. V.

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Ward, R.

M. Granata, C. Buy, R. Ward, and M. Barsuglia, Phys. Rev. Lett. 105, 231102 (2010).
[CrossRef]

Wright, E. M.

E. M. Wright, J. Arlt, and K. Dholakia, Phys. Rev. A 63, 013608 (2000).
[CrossRef]

Yariv, A.

A. Yariv, Optical Waves in Crystals (Wiley, 1983).

Yu, C.

Appl. Phys. A (1)

Y. Matsuoka, Y. Kizuka, and T. Inoue, Appl. Phys. A 84, 423 (2006).
[CrossRef]

Appl. Phys. B (1)

J. Arlt, T. Hitomi, and K. Dholakia, Appl. Phys. B 71, 549 (2000).
[CrossRef]

Appl. Phys. Lett. (1)

K. Miura, J. Qiu, H. Inouye, T. Mitsuyu, and K. Hirao, Appl. Phys. Lett. 71, 3329 (1997).
[CrossRef]

J. Modern Opt. (1)

J. Arlt, K. Dholakia, L. Allen, and M. J. Padgettt, J. Modern Opt. 45, 1231 (1998).
[CrossRef]

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

Opt. Commun. (1)

N. A. Khilo, Opt. Commun. 285, 503 (2012).
[CrossRef]

Opt. Express (3)

Opt. Lett. (6)

Phys. Rev. A (3)

E. M. Wright, J. Arlt, and K. Dholakia, Phys. Rev. A 63, 013608 (2000).
[CrossRef]

V. Garcés-Chávez, K. Volke-Sepulveda, S. Chávez-Cerda, W. Sibbett, and K. Dholakia, Phys. Rev. A 66, 063402 (2002).
[CrossRef]

T. A. Fadeyeva, A. F. Rubass, and A. V. Volyar, Phys. Rev. A 79, 053815 (2009).
[CrossRef]

Phys. Rev. E (1)

A. Ciattoni, G. Cincotti, and C. Palma, Phys. Rev. E 67, 036618 (2003).
[CrossRef]

Phys. Rev. Lett. (2)

M. Granata, C. Buy, R. Ward, and M. Barsuglia, Phys. Rev. Lett. 105, 231102 (2010).
[CrossRef]

V. Garcés-Chávez, D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia, Phys. Rev. Lett. 91, 093602 (2003).
[CrossRef]

Ukr. J. Phys. Opt. (1)

T. Fadeyeva, Ukr. J. Phys. Opt. 11, 44 (2010).
[CrossRef]

Other (1)

A. Yariv, Optical Waves in Crystals (Wiley, 1983).

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Figures (3)

Fig. 1.
Fig. 1.

Distributions of normalized intensity of three light field components I+/A02, I/A02, and Iz/A02 versus z under different E0: (a) z=0, E0=0; (b) z=2cm, E0=0; (c) z=2cm, E0=4.3kV/mm. The input beam is a Gaussian one.

Fig. 2.
Fig. 2.

Distributions of normalized intensity of the LHP and RHP components I1,+/A12 and I1,/A12 at input plane and output plane. (a) Input plane and (b) output plane. In (b), the intensity distributions for different applied electric fields are plotted. When E0 takes values of 0, 2.1, and 4.9(kV/mm), the radial indexes of the two components are the same, being 0, 1, and 2, respectively. The input beam is a LG01 one.

Fig. 3.
Fig. 3.

Power ratio of the RHP component of the output light field to the LHP one versus the applied electric field E0 for different incident beams. The points at blue and red lines correspond to those of output modes shown in Figs. 1(b) and 1(c), and 2(b), respectively.

Equations (8)

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2E(r)[·E(r)]+k02εeffE(r)=0.
2Φ1+z2Φ1+k02εoeffΦ1=0,
2Φ2+εeeffεoeffz2Φ2+k02εeeffΦ2=0.
E+=A0[j0(koRo(r,z))j0(ikozo)+j0(keRe(r,z))j0(ikeze)],
E=A0uv[j0(koRo(r,z))j0(ikozo)j0(keRe(r,z))j0(ikeze)]2A0v2[cos(koRo(r,z))ko2j0(ikozo)cos(keRe(r,z))ke2j0(ikeze)],
Ez=A0εoeffεeeff·Edz,
E1,+=iA1uw0[zoj1(koRo(r,z))R0(r,z)j1(ikozo)+zej1(keRe(r,z))Re(r,z)j1(ikeze)],
E1,=iA1w0v3{4r2[zoj0(koRo(r,z))koj1(ikozo)zej0(keRe(r,z))kej1(ikeze)]+r4[zoj1(koRo(r,z))Ro(r,z)j1(ikozo)zej1(keRe(r,z))Re(r,z)j1(ikeze)]+8[zocos(koRo(r,z))ko3j1(ikozo)zecos(keRe(r,z))ke3j1(ikeze)]}.

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