Abstract

The spin orbit interactions (SOI) of light mediated by single scattering from plasmon resonant metal nanoparticles (nanorods and nanospheres) are investigated using Jones and Mueller matrix polarimetry formalism. The effect of neighboring resonances in plasmonic nanostructures (e.g., orthogonal electric dipolar modes in rods or electric dipolar and quadrupolar modes in spheres) on the individual SOI effects are analyzed and interpreted via the Mueller matrix-derived polarimetry characteristics, namely, diattenuation d and retardance δ. The results clearly reveal that each of these can be controllably tuned and enhanced by exploiting the interference of neighboring modes.

© 2013 Optical Society of America

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    [CrossRef]
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    [CrossRef]

2012 (1)

J. Soni, H. Purwar, and N. Ghosh, Opt. Commun. 285, 1599 (2012).
[CrossRef]

2011 (1)

2010 (1)

O. G. Rodríguez-Herrera, D. Lara, K. Y. Bliokh, E. A. Ostrovskaya, and C. Dainty, Phys. Rev. Lett. 104, 253601 (2010).
[CrossRef]

2009 (1)

D. Haefner, S. Sukhov, and A. Dogariu, Phys. Rev. Lett. 102, 123903 (2009).
[CrossRef]

2008 (3)

K. Y. Bliokh, A. Niv, V. Kleiner, and E. Hasman, Nat. Photonics 2, 748 (2008).
[CrossRef]

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

C. Schwartz and A. Dogariu, J. Opt. Soc. Am. A 25, 431 (2008).
[CrossRef]

2007 (1)

2006 (1)

2002 (1)

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef]

Allen, L.

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

Alonso, M. A.

Barnett, S. M.

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

Bliokh, K. Y.

K. Y. Bliokh, E. A. Ostrovskaya, M. A. Alonso, O. G. Rodríguez-Herrera, D. Lara, and C. Dainty, Opt. Express 19, 26132 (2011).
[CrossRef]

O. G. Rodríguez-Herrera, D. Lara, K. Y. Bliokh, E. A. Ostrovskaya, and C. Dainty, Phys. Rev. Lett. 104, 253601 (2010).
[CrossRef]

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

K. Y. Bliokh, A. Niv, V. Kleiner, and E. Hasman, Nat. Photonics 2, 748 (2008).
[CrossRef]

Bomzon, Z.

Dainty, C.

K. Y. Bliokh, E. A. Ostrovskaya, M. A. Alonso, O. G. Rodríguez-Herrera, D. Lara, and C. Dainty, Opt. Express 19, 26132 (2011).
[CrossRef]

O. G. Rodríguez-Herrera, D. Lara, K. Y. Bliokh, E. A. Ostrovskaya, and C. Dainty, Phys. Rev. Lett. 104, 253601 (2010).
[CrossRef]

Dogariu, A.

Feldmann, J.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef]

Franzl, T.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef]

Ghosh, N.

J. Soni, H. Purwar, and N. Ghosh, Opt. Commun. 285, 1599 (2012).
[CrossRef]

Gorodetski, Y.

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Gu, M.

Haefner, D.

D. Haefner, S. Sukhov, and A. Dogariu, Phys. Rev. Lett. 102, 123903 (2009).
[CrossRef]

Hasman, E.

K. Y. Bliokh, A. Niv, V. Kleiner, and E. Hasman, Nat. Photonics 2, 748 (2008).
[CrossRef]

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

Kleiner, V.

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

K. Y. Bliokh, A. Niv, V. Kleiner, and E. Hasman, Nat. Photonics 2, 748 (2008).
[CrossRef]

Lara, D.

K. Y. Bliokh, E. A. Ostrovskaya, M. A. Alonso, O. G. Rodríguez-Herrera, D. Lara, and C. Dainty, Opt. Express 19, 26132 (2011).
[CrossRef]

O. G. Rodríguez-Herrera, D. Lara, K. Y. Bliokh, E. A. Ostrovskaya, and C. Dainty, Phys. Rev. Lett. 104, 253601 (2010).
[CrossRef]

Maier, S. A.

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

Mulvaney, P.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef]

Niv, A.

K. Y. Bliokh, A. Niv, V. Kleiner, and E. Hasman, Nat. Photonics 2, 748 (2008).
[CrossRef]

Ostrovskaya, E. A.

K. Y. Bliokh, E. A. Ostrovskaya, M. A. Alonso, O. G. Rodríguez-Herrera, D. Lara, and C. Dainty, Opt. Express 19, 26132 (2011).
[CrossRef]

O. G. Rodríguez-Herrera, D. Lara, K. Y. Bliokh, E. A. Ostrovskaya, and C. Dainty, Phys. Rev. Lett. 104, 253601 (2010).
[CrossRef]

Padgett, M. J.

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

Purwar, H.

J. Soni, H. Purwar, and N. Ghosh, Opt. Commun. 285, 1599 (2012).
[CrossRef]

Rodríguez-Herrera, O. G.

K. Y. Bliokh, E. A. Ostrovskaya, M. A. Alonso, O. G. Rodríguez-Herrera, D. Lara, and C. Dainty, Opt. Express 19, 26132 (2011).
[CrossRef]

O. G. Rodríguez-Herrera, D. Lara, K. Y. Bliokh, E. A. Ostrovskaya, and C. Dainty, Phys. Rev. Lett. 104, 253601 (2010).
[CrossRef]

Schwartz, C.

Soni, J.

J. Soni, H. Purwar, and N. Ghosh, Opt. Commun. 285, 1599 (2012).
[CrossRef]

Sönnichsen, C.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef]

Sukhov, S.

D. Haefner, S. Sukhov, and A. Dogariu, Phys. Rev. Lett. 102, 123903 (2009).
[CrossRef]

von Plessen, G.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef]

Wilk, T.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef]

Wilson, O.

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef]

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

Nat. Photonics (1)

K. Y. Bliokh, A. Niv, V. Kleiner, and E. Hasman, Nat. Photonics 2, 748 (2008).
[CrossRef]

Opt. Commun. (1)

J. Soni, H. Purwar, and N. Ghosh, Opt. Commun. 285, 1599 (2012).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. Lett. (4)

C. Sönnichsen, T. Franzl, T. Wilk, G. von Plessen, J. Feldmann, O. Wilson, and P. Mulvaney, Phys. Rev. Lett. 88, 077402 (2002).
[CrossRef]

K. Y. Bliokh, Y. Gorodetski, V. Kleiner, and E. Hasman, Phys. Rev. Lett. 101, 030404 (2008).
[CrossRef]

D. Haefner, S. Sukhov, and A. Dogariu, Phys. Rev. Lett. 102, 123903 (2009).
[CrossRef]

O. G. Rodríguez-Herrera, D. Lara, K. Y. Bliokh, E. A. Ostrovskaya, and C. Dainty, Phys. Rev. Lett. 104, 253601 (2010).
[CrossRef]

Other (2)

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

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

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Figures (3)

Fig. 1.
Fig. 1.

Schematics of the scattering setup. In the case of a plasmonic nanorod, its preferential orientation is along a laboratory polarization axis.

Fig. 2.
Fig. 2.

(a) Spectral variations of d (left axis, black lines) and δ (right axis, red lines) for Ag nanorods (r=20nm) of two ε values, 0.40 (dmet(1,2) and δmet(1,2): solid lines) and 0.95 (dmet(3) and δmet(3): dashed lines). Regions 1 (red), 2 (blue) and 3 (green) satisfy conditions 1, 2, and 3, respectively. Variations of d (black dotted line) and δ (red dotted line) for similar (ε=0.40) dielectric nanorod. (b) d at λ=620nm (left axis, black square [curved lines]) and δ at λ=475nm (right axis, red square [horizontal lines]) as a function of θ, for Ag nanorods (r=20nm, ε=0.40); also shown for similar dielectric nanorods by black and red circles.

Fig. 3.
Fig. 3.

Angular variations of δ for the Ag nanosphere (r=50nm) for three wavelengths; λ=365nm (quadrupolar resonance peak, black rectangle dashed line), 550 nm (dipolar resonance peak, blue triangle dotted line) and 400 nm (overlap region of the two modes, red ovals solid line). Shown for similar dielectric sphere (circle) at λ=400nm.

Equations (4)

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E⃗sTz(ϕ)Ty(θ)S(θ)Tz(ϕ)E⃗i=JE⃗i,J=(Eα+Eβcos2ϕEβsin2ϕEγcosϕEβsin2ϕEαEβcos2ϕEγsinϕEγcosϕEγsinϕEα+Eβ),
Eα=S2cosθ+S1;Eβ=S2cosθS1;Eγ=S2sinθ.
M11=1;M12=M21=dcos2ϕ;M13=M31=dsin2ϕ;M14=M41=0;M22=cos22ϕ+xcosδsin22ϕ;M23=M32=sin2ϕcos2ϕxcosδsin2ϕcos2ϕ;M24=M42=xsinδsin2ϕ;M33=sin22ϕ+xcosδcos22ϕ;M34=M43=xsinδcos2ϕ;M44=xcosδ;x=|1d2|.
d(θ)={|S2(θ)|2cos2θ|S1(θ)|2|S2(θ)|2cos2θ+|S1(θ)|2},δ(θ)=cos1[Re(S2*(θ)S1(θ)|S2(θ)||S1(θ)|].

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