Abstract

We study the evolution of Airy beams in chiral media. We numerically demonstrate that the circularly polarized Airy beams of opposite handedness can be separated when traveling through the chiral media. The constructive interference of the Airy beams in the near- and far-zone is explicitly analyzed by varying the chirality parameter of the medium. It is interesting to find that the self-acceleration of the beam is sensitive to the interference term.

© 2012 Optical Society of America

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  1. P. Polynkin, M. Kolesik, J. V. Moloney, G. A Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
    [CrossRef]
  2. G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
    [CrossRef]
  3. G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
    [CrossRef]
  4. J. Baumgartl, M. Mazilu, and K. Dholakia, Nature Photon 2, 675 (2008).
    [CrossRef]
  5. A. Salandrino and D. N. Christodoulides, Opt. Lett. 35, 2082 (2010).
    [CrossRef]
  6. A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
    [CrossRef]
  7. C. Hwang, D. Choi, K. Kim, and B. Lee, Opt. Express 18, 23504 (2010).
    [CrossRef]
  8. J. Pendry, Science 306, 1353 (2004).
    [CrossRef]
  9. S. Bassiri, C. H. Papas, and N. Engheta, J. Opt. Soc. Am. A 5, 1450 (1988).
    [CrossRef]
  10. J. Zhou, J. Dong, B. Wang, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Phys. Rev. B 79, 121104 (2009).
    [CrossRef]
  11. E. Bahar, J. Opt. Soc. Am. B 25, 218 (2008).
    [CrossRef]
  12. E. Bahar, J. Opt. Soc. Am. B 25, 1294 (2008).
    [CrossRef]
  13. E. Bahar, J. Opt. Soc. Am. B 26, 364 (2009).
    [CrossRef]
  14. F. Zhuang, X. Du, and D. Zhao, Opt. Lett. 36, 2683 (2011).
    [CrossRef]
  15. S. Wang and D. Zhao, Matrix Optics (CHEP-Springer, 2000).

2011 (1)

2010 (3)

2009 (3)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef]

J. Zhou, J. Dong, B. Wang, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Phys. Rev. B 79, 121104 (2009).
[CrossRef]

E. Bahar, J. Opt. Soc. Am. B 26, 364 (2009).
[CrossRef]

2008 (3)

2007 (2)

G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
[CrossRef]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

2004 (1)

J. Pendry, Science 306, 1353 (2004).
[CrossRef]

1988 (1)

Bahar, E.

Bassiri, S.

Baumgartl, J.

J. Baumgartl, M. Mazilu, and K. Dholakia, Nature Photon 2, 675 (2008).
[CrossRef]

Broky, J.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Choi, D.

Chong, A.

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
[CrossRef]

Christodoulides, D. N.

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
[CrossRef]

A. Salandrino and D. N. Christodoulides, Opt. Lett. 35, 2082 (2010).
[CrossRef]

P. Polynkin, M. Kolesik, J. V. Moloney, G. A Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef]

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
[CrossRef]

Dholakia, K.

J. Baumgartl, M. Mazilu, and K. Dholakia, Nature Photon 2, 675 (2008).
[CrossRef]

Dogariu, A.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Dong, J.

J. Zhou, J. Dong, B. Wang, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Phys. Rev. B 79, 121104 (2009).
[CrossRef]

Du, X.

Engheta, N.

Hwang, C.

Kafesaki, M.

J. Zhou, J. Dong, B. Wang, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Phys. Rev. B 79, 121104 (2009).
[CrossRef]

Kim, K.

Kolesik, M.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef]

Koschny, T.

J. Zhou, J. Dong, B. Wang, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Phys. Rev. B 79, 121104 (2009).
[CrossRef]

Lee, B.

Mazilu, M.

J. Baumgartl, M. Mazilu, and K. Dholakia, Nature Photon 2, 675 (2008).
[CrossRef]

Moloney, J. V.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef]

Papas, C. H.

Pendry, J.

J. Pendry, Science 306, 1353 (2004).
[CrossRef]

Polynkin, P.

P. Polynkin, M. Kolesik, J. V. Moloney, G. A Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef]

Renninger, W. H.

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
[CrossRef]

Salandrino, A.

Siviloglou, G. A

P. Polynkin, M. Kolesik, J. V. Moloney, G. A Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef]

Siviloglou, G. A.

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
[CrossRef]

Soukoulis, C. M.

J. Zhou, J. Dong, B. Wang, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Phys. Rev. B 79, 121104 (2009).
[CrossRef]

Wang, B.

J. Zhou, J. Dong, B. Wang, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Phys. Rev. B 79, 121104 (2009).
[CrossRef]

Wang, S.

S. Wang and D. Zhao, Matrix Optics (CHEP-Springer, 2000).

Wise, F. W.

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
[CrossRef]

Zhao, D.

F. Zhuang, X. Du, and D. Zhao, Opt. Lett. 36, 2683 (2011).
[CrossRef]

S. Wang and D. Zhao, Matrix Optics (CHEP-Springer, 2000).

Zhou, J.

J. Zhou, J. Dong, B. Wang, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Phys. Rev. B 79, 121104 (2009).
[CrossRef]

Zhuang, F.

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

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

Nat. Photon. (1)

A. Chong, W. H. Renninger, D. N. Christodoulides, and F. W. Wise, Nat. Photon. 4, 103 (2010).
[CrossRef]

Nature Photon (1)

J. Baumgartl, M. Mazilu, and K. Dholakia, Nature Photon 2, 675 (2008).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Phys. Rev. B (1)

J. Zhou, J. Dong, B. Wang, T. Koschny, M. Kafesaki, and C. M. Soukoulis, Phys. Rev. B 79, 121104 (2009).
[CrossRef]

Phys. Rev. Lett. (1)

G. A. Siviloglou, J. Broky, A. Dogariu, and D. N. Christodoulides, Phys. Rev. Lett. 99, 213901 (2007).
[CrossRef]

Science (2)

P. Polynkin, M. Kolesik, J. V. Moloney, G. A Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
[CrossRef]

J. Pendry, Science 306, 1353 (2004).
[CrossRef]

Other (1)

S. Wang and D. Zhao, Matrix Optics (CHEP-Springer, 2000).

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Figures (3)

Fig. 1.
Fig. 1.

The evolution of an Airy beam propagating through the chiral medium with (a)–(d) γ=0.16/k0, (e)–(h) γ=0.28/k0. (c) and (g) corresponding to the interference term with γ=0.16/k0 and γ=0.28/k0 respectively.

Fig. 2.
Fig. 2.

The intensity distribution of an Airy beam propagating in the chiral media when z=200mm with (a)–(c) γ=0.16/k0, (d)–(f) γ=0.28/k0.

Fig. 3.
Fig. 3.

The intensity distribution of an Airy beam propagating in the chiral media. The parameters are the same as those used in Fig. 2, besides z=800mm.

Equations (10)

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[A(L)B(L)C(L)D(L)]=[1z/n(L)01][A(R)B(R)C(R)D(R)]=[1z/n(R)01],
iuξ+122us2=0,
u(x1)=Ai(x1/x0)exp(a0x1/x0).
u(J)(x)=ik02πB(J)exp[ik02B(J)(A(J)x122x1x+D(J)x2)]×Ai(x1/x0)exp(a0x1/x0)dx1,
Ai(x)=exp(iu33+ixu)du
u(J)(x)=1AAi(xA(J)x0B(J)24A(J)2k02x04+ia0B(J)A(J)k0x02)exp(ik0C(J)x2A(J))×exp(a0xA(J)x0a0B(J)22A(J)2k02x04iB(J)312A(J)3k03x06+ia02B(J)2A(J)k0x02+iB(J)x2A(J)2k0x03),
u(x)=u(L)(x)+u(R)(x).
I=|u(L)(x)|2+|u(R)(x)|2+Iint,
Iint=u(L)(x)u(R)*(x)+u(R)(x)u(L)*(x),
Iintexp(2a0xx0)exp(a0z2(2+2n0k0γ)k02x04).

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