Abstract

We show that optical anisotropy can exist in composite materials even when they consist of components that are isotropic in shape, spatial distribution, and optical properties. We demonstrate that the simple presence of a surface on a metal–dielectric composite induces an optical anisotropy that manifests itself in an unusual change of the state of polarization and spin Hall effect of reflected light.

© 2012 Optical Society of America

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  1. D. V. Sivukhin, Zh. Éksp. Teor. Fiz. 18, 976 (1948).
  2. I. Romero and F. J. Garcia de Abajo, Opt. Express 17, 22012 (2009).
    [CrossRef]
  3. C. R. Simovski, Opt. Spectrosc. 107, 726 (2009).
    [CrossRef]
  4. C. R. Simovski, J. Opt. 13, 013001 (2011).
    [CrossRef]
  5. I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
    [CrossRef]
  6. J. C. Maxwell Garnett, Philos. Trans. R. Soc. London Ser. A 203, 385 (1904); 205, 237 (1906).
    [CrossRef]
  7. S. Sukhov, D. Haefner, and A. Dogariu, Phys. Rev. E 77, 066709 (2008).
    [CrossRef]
  8. L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves: Numerical Simulations (Wiley-Interscience, 2001).
  9. M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).
  10. E. Hutter and J. H. Fendler, Adv. Mater. 16, 1685(2004).
    [CrossRef]
  11. E. D. Palik, ed., Handbook of Optical Constants of Solids (Academic, 1984).
  12. K. Yu. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903 (2006).
    [CrossRef]
  13. K. Yu. Bliokh and Y. P. Bliokh, Phys. Rev. E 75, 066609 (2007).
    [CrossRef]
  14. O. Hosten and P. Kwiat, Science 319, 787 (2008).
    [CrossRef]
  15. Y. Qin, Y. Li, X. Feng, Z. Liu, H. He, Y. F. Xiao, and Q. Gong, Opt. Express 18, 16832 (2010).
    [CrossRef]
  16. N. Hermosa, A. M. Nugrowati, A. Aiello, and J. P. Woerdman, Opt. Lett. 36, 3200 (2011).
    [CrossRef]
  17. H. Luo, X. Ling, X. Zhou, W. Shu, S. Wen, and D. Fan, Phys. Rev. A 84, 033801 (2011).
    [CrossRef]
  18. A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A 80, 061801 (2009).
    [CrossRef]
  19. C.-W. Qiu, A. Novitsky, L. Gao, J. W. Dong, and B. Luk’yanchuk, arXiv, 1202.5613v1 (2012).
  20. S.-A. Biehs, P. Ben-Abdallah, F. S. S. Rosa, K. Joulain, and J.-J. Greffet, Opt. Express 19, A1088 (2011).
    [CrossRef]

2011 (4)

2010 (2)

Y. Qin, Y. Li, X. Feng, Z. Liu, H. He, Y. F. Xiao, and Q. Gong, Opt. Express 18, 16832 (2010).
[CrossRef]

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

2009 (3)

C. R. Simovski, Opt. Spectrosc. 107, 726 (2009).
[CrossRef]

A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A 80, 061801 (2009).
[CrossRef]

I. Romero and F. J. Garcia de Abajo, Opt. Express 17, 22012 (2009).
[CrossRef]

2008 (2)

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[CrossRef]

S. Sukhov, D. Haefner, and A. Dogariu, Phys. Rev. E 77, 066709 (2008).
[CrossRef]

2007 (1)

K. Yu. Bliokh and Y. P. Bliokh, Phys. Rev. E 75, 066609 (2007).
[CrossRef]

2006 (1)

K. Yu. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903 (2006).
[CrossRef]

2004 (1)

E. Hutter and J. H. Fendler, Adv. Mater. 16, 1685(2004).
[CrossRef]

1948 (1)

D. V. Sivukhin, Zh. Éksp. Teor. Fiz. 18, 976 (1948).

1904 (1)

J. C. Maxwell Garnett, Philos. Trans. R. Soc. London Ser. A 203, 385 (1904); 205, 237 (1906).
[CrossRef]

Aiello, A.

N. Hermosa, A. M. Nugrowati, A. Aiello, and J. P. Woerdman, Opt. Lett. 36, 3200 (2011).
[CrossRef]

A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A 80, 061801 (2009).
[CrossRef]

Alexeenko, A.

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

Ben-Abdallah, P.

Biehs, S.-A.

Bliokh, K. Yu.

K. Yu. Bliokh and Y. P. Bliokh, Phys. Rev. E 75, 066609 (2007).
[CrossRef]

K. Yu. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903 (2006).
[CrossRef]

Bliokh, Y. P.

K. Yu. Bliokh and Y. P. Bliokh, Phys. Rev. E 75, 066609 (2007).
[CrossRef]

K. Yu. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903 (2006).
[CrossRef]

Blonskiy, I.

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).

de Abajo, F. J. Garcia

Ding, K. H.

L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves: Numerical Simulations (Wiley-Interscience, 2001).

Dmitruk, I.

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

Dmytruk, A.

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

Dogariu, A.

S. Sukhov, D. Haefner, and A. Dogariu, Phys. Rev. E 77, 066709 (2008).
[CrossRef]

Dong, J. W.

C.-W. Qiu, A. Novitsky, L. Gao, J. W. Dong, and B. Luk’yanchuk, arXiv, 1202.5613v1 (2012).

Fan, D.

H. Luo, X. Ling, X. Zhou, W. Shu, S. Wen, and D. Fan, Phys. Rev. A 84, 033801 (2011).
[CrossRef]

Fendler, J. H.

E. Hutter and J. H. Fendler, Adv. Mater. 16, 1685(2004).
[CrossRef]

Feng, X.

Gao, L.

C.-W. Qiu, A. Novitsky, L. Gao, J. W. Dong, and B. Luk’yanchuk, arXiv, 1202.5613v1 (2012).

Garnett, J. C. Maxwell

J. C. Maxwell Garnett, Philos. Trans. R. Soc. London Ser. A 203, 385 (1904); 205, 237 (1906).
[CrossRef]

Gong, Q.

Greffet, J.-J.

Haefner, D.

S. Sukhov, D. Haefner, and A. Dogariu, Phys. Rev. E 77, 066709 (2008).
[CrossRef]

He, H.

Hermosa, N.

Hosten, O.

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[CrossRef]

Hutter, E.

E. Hutter and J. H. Fendler, Adv. Mater. 16, 1685(2004).
[CrossRef]

Joulain, K.

Kadan, V.

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

Kong, J. A.

L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves: Numerical Simulations (Wiley-Interscience, 2001).

Korenyuk, P.

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

Kwiat, P.

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[CrossRef]

Li, Y.

Ling, X.

H. Luo, X. Ling, X. Zhou, W. Shu, S. Wen, and D. Fan, Phys. Rev. A 84, 033801 (2011).
[CrossRef]

Liu, Z.

Luk’yanchuk, B.

C.-W. Qiu, A. Novitsky, L. Gao, J. W. Dong, and B. Luk’yanchuk, arXiv, 1202.5613v1 (2012).

Luo, H.

H. Luo, X. Ling, X. Zhou, W. Shu, S. Wen, and D. Fan, Phys. Rev. A 84, 033801 (2011).
[CrossRef]

Merano, M.

A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A 80, 061801 (2009).
[CrossRef]

Novitsky, A.

C.-W. Qiu, A. Novitsky, L. Gao, J. W. Dong, and B. Luk’yanchuk, arXiv, 1202.5613v1 (2012).

Nugrowati, A. M.

Pavlov, I.

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

Qin, Y.

Qiu, C.-W.

C.-W. Qiu, A. Novitsky, L. Gao, J. W. Dong, and B. Luk’yanchuk, arXiv, 1202.5613v1 (2012).

Romero, I.

Rosa, F. S. S.

Shu, W.

H. Luo, X. Ling, X. Zhou, W. Shu, S. Wen, and D. Fan, Phys. Rev. A 84, 033801 (2011).
[CrossRef]

Simovski, C. R.

C. R. Simovski, J. Opt. 13, 013001 (2011).
[CrossRef]

C. R. Simovski, Opt. Spectrosc. 107, 726 (2009).
[CrossRef]

Sivukhin, D. V.

D. V. Sivukhin, Zh. Éksp. Teor. Fiz. 18, 976 (1948).

Sukhov, S.

S. Sukhov, D. Haefner, and A. Dogariu, Phys. Rev. E 77, 066709 (2008).
[CrossRef]

Tsang, L.

L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves: Numerical Simulations (Wiley-Interscience, 2001).

Wen, S.

H. Luo, X. Ling, X. Zhou, W. Shu, S. Wen, and D. Fan, Phys. Rev. A 84, 033801 (2011).
[CrossRef]

Woerdman, J. P.

N. Hermosa, A. M. Nugrowati, A. Aiello, and J. P. Woerdman, Opt. Lett. 36, 3200 (2011).
[CrossRef]

A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A 80, 061801 (2009).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).

Xiao, Y. F.

Yeshchenko, O.

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

Zhou, X.

H. Luo, X. Ling, X. Zhou, W. Shu, S. Wen, and D. Fan, Phys. Rev. A 84, 033801 (2011).
[CrossRef]

Zubrilin, N.

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

Adv. Mater. (1)

E. Hutter and J. H. Fendler, Adv. Mater. 16, 1685(2004).
[CrossRef]

J. Opt. (1)

C. R. Simovski, J. Opt. 13, 013001 (2011).
[CrossRef]

Opt. Express (3)

Opt. Lett. (1)

Opt. Spectrosc. (1)

C. R. Simovski, Opt. Spectrosc. 107, 726 (2009).
[CrossRef]

Philos. Trans. R. Soc. London Ser. A (1)

J. C. Maxwell Garnett, Philos. Trans. R. Soc. London Ser. A 203, 385 (1904); 205, 237 (1906).
[CrossRef]

Phys. Rev. A (2)

H. Luo, X. Ling, X. Zhou, W. Shu, S. Wen, and D. Fan, Phys. Rev. A 84, 033801 (2011).
[CrossRef]

A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A 80, 061801 (2009).
[CrossRef]

Phys. Rev. B (1)

I. Dmitruk, I. Blonskiy, I. Pavlov, O. Yeshchenko, A. Alexeenko, A. Dmytruk, P. Korenyuk, V. Kadan, and N. Zubrilin, Phys. Rev. B 82, 033401 (2010).
[CrossRef]

Phys. Rev. E (2)

S. Sukhov, D. Haefner, and A. Dogariu, Phys. Rev. E 77, 066709 (2008).
[CrossRef]

K. Yu. Bliokh and Y. P. Bliokh, Phys. Rev. E 75, 066609 (2007).
[CrossRef]

Phys. Rev. Lett. (1)

K. Yu. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903 (2006).
[CrossRef]

Science (1)

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[CrossRef]

Zh. Éksp. Teor. Fiz. (1)

D. V. Sivukhin, Zh. Éksp. Teor. Fiz. 18, 976 (1948).

Other (4)

C.-W. Qiu, A. Novitsky, L. Gao, J. W. Dong, and B. Luk’yanchuk, arXiv, 1202.5613v1 (2012).

L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves: Numerical Simulations (Wiley-Interscience, 2001).

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).

E. D. Palik, ed., Handbook of Optical Constants of Solids (Academic, 1984).

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Figures (2)

Fig. 1.
Fig. 1.

The phase difference between s and p components of the reflected plane wave as a function of volume fraction of 50 nm radius Ag inclusions with refractive index 0.129+3.193i [11] randomly distributed within a host medium with a thickness of 0.506λ (λ=532nm) and index of refraction n=2. Illumination is by a linearly polarized incident plane wave at a 60° angle of incidence. The error bars denote the uncertainty of average values of phase differences with a confidence level of 0.95. The red solid curve represents the phase difference of the plane wave reflected by a homogeneous medium with effective refractive index estimated by MGEM.

Fig. 2.
Fig. 2.

Lateral displacement of the reflected beam, Δyr, as a function of the volume concentration of Ag inclusions uniformly embedded in the host medium. The optical properties and dimensions of both inclusions and matrix medium are the same as in Fig. 1. The metal–dielectric composites with varied concentration of inclusions were illuminated by a 45° linearly polarized Gaussian beam at a 60° angle of incidence. The error bars denote the uncertainty of average values of SHEL transverse shift with a confidence level of 0.95. The solid line represents the spatial transverse shift of the beam reflected from an effective homogeneous medium with isotropic index estimated by MGEM.

Equations (2)

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

Δ=ϕr,pϕr,s=arg(rp/rs).
Δyr±=cos2ψrΔyr±H+sin2ψrΔyr±V,cosψr=cosψiRe[rp]/cos2ψiRe[rp]2+sin2ψiRe[rs]2,sinψr=sinψiRe[rs]/cos2ψiRe[rp]2+sin2ψiRe[rs]2,Δyr±H=(λ/2π)[1+(|rs|/|rp|)cos(ϕsϕp)]cotθi,Δyr±V=(λ/2π)[1+(|rp|/|rs|)cos(ϕpϕs)]cotθi,

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