Abstract

Hyperbolic metamaterials based on the ordered arrays of metal nanorods in a dielectric media are of great interest owing to new optical effects appearing in such artificial media. Here we study the effects in the polarization state of light passing through a nanocomposite material consisting of Au nanorods in porous alumina and a similar structure supplemented by a nanolayer of ferromagnetic nickel. We demonstrate that close to the epsilon-near-zero dispersion point, under the transition to the hyperbolic dispersion region, the nanocomposites reveal anomalously high modulation of the polarization state of light, which appears as polarization plane rotation and ellipticity changes of probing radiation with a zero ellipticity. This effect is applied for the giant enhancement of the Faraday effect in a continuous ferromagnetic film staying in contact with hyperbolic material. These findings open a path for the design of polarization state control by using hyperbolic metamaterials.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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  1. M. G. Silveirinha, “Nonlocal homogenization model for a periodic array of $\epsilon$ϵ-negative rods,” Phys. Rev. E 73(4), 046612 (2006).
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    [Crossref]
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  4. P. Shekhar, J. Atkinson, and Z. Jacob, “Hyperbolic metamaterials: fundamentals and applications,” Nano Convergence 1(1), 14–17 (2014).
    [Crossref]
  5. L. Ferrari, J. Stephen, T. Smalley, Y. Fainman, and Z. Liu, “Hyperbolic metamaterials for dispersion-assisted directional light emission,” Nanoscale 9(26), 9034–9048 (2017).
    [Crossref]
  6. X. Ni, G. Naik, A. Kildishev, Y. Barnakov, A. Boltasseva, and V. Shalaev, “Effect of metallic and hyperbolic metamaterial surfaces on electric and magnetic dipole emission transitions,” Appl. Phys. B: Lasers Opt. 103(3), 553–558 (2011).
    [Crossref]
  7. T. Li, V. Nagal, D. Gracias, and J. Khurgin, “Limits of imaging with multilayer hyperbolic metamaterials,” Opt. Express 25(12), 13588–13601 (2017).
    [Crossref]
  8. N. Vasilantonakis, M. E. Nasir, W. Dickson, G. A. Wurtz, and A. V. Zayats, “Bulk plasmon-polaritons in hyperbolic nanorod metamaterial waveguides,” Laser Photonics Rev. 9(3), 345–353 (2015).
    [Crossref]
  9. P. Ginzburg, F. J. R. Fortuno, G. A. Wurtz, W. Dickson, A. Murphy, F. Morgan, R. J. Pollard, I. Iorsh, A. Atrashchenko, P. A. Belov, Y. S. Kivshar, A. Nevet, G. Ankonina, M. Orenstein, and A. V. Zayats, “Manipulating polarization of light with ultrathin epsilon-near-zero metamaterials,” Opt. Express 21(12), 14907–14917 (2013).
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    [Crossref]
  12. I. A. Kolmychek, A. N. Shaimanov, A. V. Baryshev, and T. V. Murzina, “Magneto-optical response of two-dimensional magnetic plasmon structures based on gold nanodisks embedded in a ferrite garnet layer,” JETP Lett. 102(1), 46–50 (2015).
    [Crossref]
  13. M. Pohl, L. E. Kreilkamp, V. I. Belotelov, I. A. Akimov, and A. N. Kalish, “Tuning of the transverse magneto-optical kerr effect in magneto-plasmonic crystals,” New J. Phys. 15(7), 075024 (2013).
    [Crossref]
  14. T. Murzina, I. Kolmychek, A. Nikulin, E. Gan’shina, and O. Aktsipetrov, “Plasmonic and magnetic effects accompanying optical second harmonic generation in au/co/au nanodisks,” JETP Lett. 90(7), 504–508 (2009).
    [Crossref]
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    [Crossref]
  16. R. Atkinson, W. R. Hendren, G. A. Wurtz, W. Dickson, A. V. Zayats, P. Evans, and R. J. Pollard, “Anisotropic optical properties of arrays of gold nanorods embedded in alumina,” Phys. Rev. B 73(23), 235402 (2006).
    [Crossref]
  17. E. Palik, Handbook of Optical Constants of Solids (Academic, 2012).
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2019 (1)

B. Fan, M. E. Nasir, L. H. Nicholls, A. V. Zayats, and V. A. Podolskiy, “Magneto-optical metamaterials: Nonreciprocal transmission and faraday effect enhancement,” Adv. Opt. Mater. 7(14), 1801420 (2019).
[Crossref]

2018 (1)

2017 (2)

T. Li, V. Nagal, D. Gracias, and J. Khurgin, “Limits of imaging with multilayer hyperbolic metamaterials,” Opt. Express 25(12), 13588–13601 (2017).
[Crossref]

L. Ferrari, J. Stephen, T. Smalley, Y. Fainman, and Z. Liu, “Hyperbolic metamaterials for dispersion-assisted directional light emission,” Nanoscale 9(26), 9034–9048 (2017).
[Crossref]

2015 (2)

I. A. Kolmychek, A. N. Shaimanov, A. V. Baryshev, and T. V. Murzina, “Magneto-optical response of two-dimensional magnetic plasmon structures based on gold nanodisks embedded in a ferrite garnet layer,” JETP Lett. 102(1), 46–50 (2015).
[Crossref]

N. Vasilantonakis, M. E. Nasir, W. Dickson, G. A. Wurtz, and A. V. Zayats, “Bulk plasmon-polaritons in hyperbolic nanorod metamaterial waveguides,” Laser Photonics Rev. 9(3), 345–353 (2015).
[Crossref]

2014 (1)

P. Shekhar, J. Atkinson, and Z. Jacob, “Hyperbolic metamaterials: fundamentals and applications,” Nano Convergence 1(1), 14–17 (2014).
[Crossref]

2013 (3)

A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, “Hyperbolic metamaterials,” Nat. Photonics 7(12), 948–957 (2013).
[Crossref]

M. Pohl, L. E. Kreilkamp, V. I. Belotelov, I. A. Akimov, and A. N. Kalish, “Tuning of the transverse magneto-optical kerr effect in magneto-plasmonic crystals,” New J. Phys. 15(7), 075024 (2013).
[Crossref]

P. Ginzburg, F. J. R. Fortuno, G. A. Wurtz, W. Dickson, A. Murphy, F. Morgan, R. J. Pollard, I. Iorsh, A. Atrashchenko, P. A. Belov, Y. S. Kivshar, A. Nevet, G. Ankonina, M. Orenstein, and A. V. Zayats, “Manipulating polarization of light with ultrathin epsilon-near-zero metamaterials,” Opt. Express 21(12), 14907–14917 (2013).
[Crossref]

2011 (1)

X. Ni, G. Naik, A. Kildishev, Y. Barnakov, A. Boltasseva, and V. Shalaev, “Effect of metallic and hyperbolic metamaterial surfaces on electric and magnetic dipole emission transitions,” Appl. Phys. B: Lasers Opt. 103(3), 553–558 (2011).
[Crossref]

2009 (1)

T. Murzina, I. Kolmychek, A. Nikulin, E. Gan’shina, and O. Aktsipetrov, “Plasmonic and magnetic effects accompanying optical second harmonic generation in au/co/au nanodisks,” JETP Lett. 90(7), 504–508 (2009).
[Crossref]

2008 (1)

N. Litchinitser and V. Shalaev, “Photonic metamaterials,” Laser Phys. Lett. 5(6), 411–420 (2008).
[Crossref]

2007 (1)

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

2006 (2)

M. G. Silveirinha, “Nonlocal homogenization model for a periodic array of $\epsilon$ϵ-negative rods,” Phys. Rev. E 73(4), 046612 (2006).
[Crossref]

R. Atkinson, W. R. Hendren, G. A. Wurtz, W. Dickson, A. V. Zayats, P. Evans, and R. J. Pollard, “Anisotropic optical properties of arrays of gold nanorods embedded in alumina,” Phys. Rev. B 73(23), 235402 (2006).
[Crossref]

Akimov, I. A.

M. Pohl, L. E. Kreilkamp, V. I. Belotelov, I. A. Akimov, and A. N. Kalish, “Tuning of the transverse magneto-optical kerr effect in magneto-plasmonic crystals,” New J. Phys. 15(7), 075024 (2013).
[Crossref]

Aktsipetrov, O.

T. Murzina, I. Kolmychek, A. Nikulin, E. Gan’shina, and O. Aktsipetrov, “Plasmonic and magnetic effects accompanying optical second harmonic generation in au/co/au nanodisks,” JETP Lett. 90(7), 504–508 (2009).
[Crossref]

Ankonina, G.

Armelles, G.

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Atkinson, J.

P. Shekhar, J. Atkinson, and Z. Jacob, “Hyperbolic metamaterials: fundamentals and applications,” Nano Convergence 1(1), 14–17 (2014).
[Crossref]

Atkinson, R.

R. Atkinson, W. R. Hendren, G. A. Wurtz, W. Dickson, A. V. Zayats, P. Evans, and R. J. Pollard, “Anisotropic optical properties of arrays of gold nanorods embedded in alumina,” Phys. Rev. B 73(23), 235402 (2006).
[Crossref]

Atrashchenko, A.

Barnakov, Y.

X. Ni, G. Naik, A. Kildishev, Y. Barnakov, A. Boltasseva, and V. Shalaev, “Effect of metallic and hyperbolic metamaterial surfaces on electric and magnetic dipole emission transitions,” Appl. Phys. B: Lasers Opt. 103(3), 553–558 (2011).
[Crossref]

Baryshev, A. V.

I. A. Kolmychek, A. N. Shaimanov, A. V. Baryshev, and T. V. Murzina, “Magneto-optical response of two-dimensional magnetic plasmon structures based on gold nanodisks embedded in a ferrite garnet layer,” JETP Lett. 102(1), 46–50 (2015).
[Crossref]

Belotelov, V. I.

M. Pohl, L. E. Kreilkamp, V. I. Belotelov, I. A. Akimov, and A. N. Kalish, “Tuning of the transverse magneto-optical kerr effect in magneto-plasmonic crystals,” New J. Phys. 15(7), 075024 (2013).
[Crossref]

Belov, P.

A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, “Hyperbolic metamaterials,” Nat. Photonics 7(12), 948–957 (2013).
[Crossref]

Belov, P. A.

Boltasseva, A.

X. Ni, G. Naik, A. Kildishev, Y. Barnakov, A. Boltasseva, and V. Shalaev, “Effect of metallic and hyperbolic metamaterial surfaces on electric and magnetic dipole emission transitions,” Appl. Phys. B: Lasers Opt. 103(3), 553–558 (2011).
[Crossref]

Cebollada, A.

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Clarke, R.

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Clavero, C.

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Dickson, W.

N. Vasilantonakis, M. E. Nasir, W. Dickson, G. A. Wurtz, and A. V. Zayats, “Bulk plasmon-polaritons in hyperbolic nanorod metamaterial waveguides,” Laser Photonics Rev. 9(3), 345–353 (2015).
[Crossref]

P. Ginzburg, F. J. R. Fortuno, G. A. Wurtz, W. Dickson, A. Murphy, F. Morgan, R. J. Pollard, I. Iorsh, A. Atrashchenko, P. A. Belov, Y. S. Kivshar, A. Nevet, G. Ankonina, M. Orenstein, and A. V. Zayats, “Manipulating polarization of light with ultrathin epsilon-near-zero metamaterials,” Opt. Express 21(12), 14907–14917 (2013).
[Crossref]

R. Atkinson, W. R. Hendren, G. A. Wurtz, W. Dickson, A. V. Zayats, P. Evans, and R. J. Pollard, “Anisotropic optical properties of arrays of gold nanorods embedded in alumina,” Phys. Rev. B 73(23), 235402 (2006).
[Crossref]

Evans, P.

R. Atkinson, W. R. Hendren, G. A. Wurtz, W. Dickson, A. V. Zayats, P. Evans, and R. J. Pollard, “Anisotropic optical properties of arrays of gold nanorods embedded in alumina,” Phys. Rev. B 73(23), 235402 (2006).
[Crossref]

Fainman, Y.

L. Ferrari, J. Stephen, T. Smalley, Y. Fainman, and Z. Liu, “Hyperbolic metamaterials for dispersion-assisted directional light emission,” Nanoscale 9(26), 9034–9048 (2017).
[Crossref]

Fan, B.

B. Fan, M. E. Nasir, L. H. Nicholls, A. V. Zayats, and V. A. Podolskiy, “Magneto-optical metamaterials: Nonreciprocal transmission and faraday effect enhancement,” Adv. Opt. Mater. 7(14), 1801420 (2019).
[Crossref]

Ferrari, L.

L. Ferrari, J. Stephen, T. Smalley, Y. Fainman, and Z. Liu, “Hyperbolic metamaterials for dispersion-assisted directional light emission,” Nanoscale 9(26), 9034–9048 (2017).
[Crossref]

Fortuno, F. J. R.

Gan’shina, E.

T. Murzina, I. Kolmychek, A. Nikulin, E. Gan’shina, and O. Aktsipetrov, “Plasmonic and magnetic effects accompanying optical second harmonic generation in au/co/au nanodisks,” JETP Lett. 90(7), 504–508 (2009).
[Crossref]

Garcia-Martin, A.

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Garcia-Martin, J. M.

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Ginzburg, P.

Gonzalez-Diaz, J. B.

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Gracias, D.

Hendren, W. R.

R. Atkinson, W. R. Hendren, G. A. Wurtz, W. Dickson, A. V. Zayats, P. Evans, and R. J. Pollard, “Anisotropic optical properties of arrays of gold nanorods embedded in alumina,” Phys. Rev. B 73(23), 235402 (2006).
[Crossref]

Iorsh, I.

Jacob, Z.

P. Shekhar, J. Atkinson, and Z. Jacob, “Hyperbolic metamaterials: fundamentals and applications,” Nano Convergence 1(1), 14–17 (2014).
[Crossref]

Kalish, A. N.

M. Pohl, L. E. Kreilkamp, V. I. Belotelov, I. A. Akimov, and A. N. Kalish, “Tuning of the transverse magneto-optical kerr effect in magneto-plasmonic crystals,” New J. Phys. 15(7), 075024 (2013).
[Crossref]

Khurgin, J.

Kildishev, A.

X. Ni, G. Naik, A. Kildishev, Y. Barnakov, A. Boltasseva, and V. Shalaev, “Effect of metallic and hyperbolic metamaterial surfaces on electric and magnetic dipole emission transitions,” Appl. Phys. B: Lasers Opt. 103(3), 553–558 (2011).
[Crossref]

Kivshar, Y.

A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, “Hyperbolic metamaterials,” Nat. Photonics 7(12), 948–957 (2013).
[Crossref]

Kivshar, Y. S.

Kolmychek, I.

I. Kolmychek, A. Pomozov, A. Leontiev, K. Napolskii, and T. Murzina, “Magneto-optical effects in hyperbolic metamaterials,” Opt. Lett. 43(16), 3917–3920 (2018).
[Crossref]

T. Murzina, I. Kolmychek, A. Nikulin, E. Gan’shina, and O. Aktsipetrov, “Plasmonic and magnetic effects accompanying optical second harmonic generation in au/co/au nanodisks,” JETP Lett. 90(7), 504–508 (2009).
[Crossref]

Kolmychek, I. A.

I. A. Kolmychek, A. N. Shaimanov, A. V. Baryshev, and T. V. Murzina, “Magneto-optical response of two-dimensional magnetic plasmon structures based on gold nanodisks embedded in a ferrite garnet layer,” JETP Lett. 102(1), 46–50 (2015).
[Crossref]

Kreilkamp, L. E.

M. Pohl, L. E. Kreilkamp, V. I. Belotelov, I. A. Akimov, and A. N. Kalish, “Tuning of the transverse magneto-optical kerr effect in magneto-plasmonic crystals,” New J. Phys. 15(7), 075024 (2013).
[Crossref]

Kumah, D. P.

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Leontiev, A.

Li, T.

Litchinitser, N.

N. Litchinitser and V. Shalaev, “Photonic metamaterials,” Laser Phys. Lett. 5(6), 411–420 (2008).
[Crossref]

Liu, Z.

L. Ferrari, J. Stephen, T. Smalley, Y. Fainman, and Z. Liu, “Hyperbolic metamaterials for dispersion-assisted directional light emission,” Nanoscale 9(26), 9034–9048 (2017).
[Crossref]

Lukaszew, R. A.

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Morgan, F.

Murphy, A.

Murzina, T.

I. Kolmychek, A. Pomozov, A. Leontiev, K. Napolskii, and T. Murzina, “Magneto-optical effects in hyperbolic metamaterials,” Opt. Lett. 43(16), 3917–3920 (2018).
[Crossref]

T. Murzina, I. Kolmychek, A. Nikulin, E. Gan’shina, and O. Aktsipetrov, “Plasmonic and magnetic effects accompanying optical second harmonic generation in au/co/au nanodisks,” JETP Lett. 90(7), 504–508 (2009).
[Crossref]

Murzina, T. V.

I. A. Kolmychek, A. N. Shaimanov, A. V. Baryshev, and T. V. Murzina, “Magneto-optical response of two-dimensional magnetic plasmon structures based on gold nanodisks embedded in a ferrite garnet layer,” JETP Lett. 102(1), 46–50 (2015).
[Crossref]

Nagal, V.

Naik, G.

X. Ni, G. Naik, A. Kildishev, Y. Barnakov, A. Boltasseva, and V. Shalaev, “Effect of metallic and hyperbolic metamaterial surfaces on electric and magnetic dipole emission transitions,” Appl. Phys. B: Lasers Opt. 103(3), 553–558 (2011).
[Crossref]

Napolskii, K.

Nasir, M. E.

B. Fan, M. E. Nasir, L. H. Nicholls, A. V. Zayats, and V. A. Podolskiy, “Magneto-optical metamaterials: Nonreciprocal transmission and faraday effect enhancement,” Adv. Opt. Mater. 7(14), 1801420 (2019).
[Crossref]

N. Vasilantonakis, M. E. Nasir, W. Dickson, G. A. Wurtz, and A. V. Zayats, “Bulk plasmon-polaritons in hyperbolic nanorod metamaterial waveguides,” Laser Photonics Rev. 9(3), 345–353 (2015).
[Crossref]

Nevet, A.

Ni, X.

X. Ni, G. Naik, A. Kildishev, Y. Barnakov, A. Boltasseva, and V. Shalaev, “Effect of metallic and hyperbolic metamaterial surfaces on electric and magnetic dipole emission transitions,” Appl. Phys. B: Lasers Opt. 103(3), 553–558 (2011).
[Crossref]

Nicholls, L. H.

B. Fan, M. E. Nasir, L. H. Nicholls, A. V. Zayats, and V. A. Podolskiy, “Magneto-optical metamaterials: Nonreciprocal transmission and faraday effect enhancement,” Adv. Opt. Mater. 7(14), 1801420 (2019).
[Crossref]

Nikulin, A.

T. Murzina, I. Kolmychek, A. Nikulin, E. Gan’shina, and O. Aktsipetrov, “Plasmonic and magnetic effects accompanying optical second harmonic generation in au/co/au nanodisks,” JETP Lett. 90(7), 504–508 (2009).
[Crossref]

Orenstein, M.

Palik, E.

E. Palik, Handbook of Optical Constants of Solids (Academic, 2012).

Poddubny, A.

A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, “Hyperbolic metamaterials,” Nat. Photonics 7(12), 948–957 (2013).
[Crossref]

Podolskiy, V. A.

B. Fan, M. E. Nasir, L. H. Nicholls, A. V. Zayats, and V. A. Podolskiy, “Magneto-optical metamaterials: Nonreciprocal transmission and faraday effect enhancement,” Adv. Opt. Mater. 7(14), 1801420 (2019).
[Crossref]

Pohl, M.

M. Pohl, L. E. Kreilkamp, V. I. Belotelov, I. A. Akimov, and A. N. Kalish, “Tuning of the transverse magneto-optical kerr effect in magneto-plasmonic crystals,” New J. Phys. 15(7), 075024 (2013).
[Crossref]

Pollard, R. J.

Pomozov, A.

Shaimanov, A. N.

I. A. Kolmychek, A. N. Shaimanov, A. V. Baryshev, and T. V. Murzina, “Magneto-optical response of two-dimensional magnetic plasmon structures based on gold nanodisks embedded in a ferrite garnet layer,” JETP Lett. 102(1), 46–50 (2015).
[Crossref]

Shalaev, V.

X. Ni, G. Naik, A. Kildishev, Y. Barnakov, A. Boltasseva, and V. Shalaev, “Effect of metallic and hyperbolic metamaterial surfaces on electric and magnetic dipole emission transitions,” Appl. Phys. B: Lasers Opt. 103(3), 553–558 (2011).
[Crossref]

N. Litchinitser and V. Shalaev, “Photonic metamaterials,” Laser Phys. Lett. 5(6), 411–420 (2008).
[Crossref]

Shekhar, P.

P. Shekhar, J. Atkinson, and Z. Jacob, “Hyperbolic metamaterials: fundamentals and applications,” Nano Convergence 1(1), 14–17 (2014).
[Crossref]

Silveirinha, M. G.

M. G. Silveirinha, “Nonlocal homogenization model for a periodic array of $\epsilon$ϵ-negative rods,” Phys. Rev. E 73(4), 046612 (2006).
[Crossref]

Skuza, J. R.

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Smalley, T.

L. Ferrari, J. Stephen, T. Smalley, Y. Fainman, and Z. Liu, “Hyperbolic metamaterials for dispersion-assisted directional light emission,” Nanoscale 9(26), 9034–9048 (2017).
[Crossref]

Stephen, J.

L. Ferrari, J. Stephen, T. Smalley, Y. Fainman, and Z. Liu, “Hyperbolic metamaterials for dispersion-assisted directional light emission,” Nanoscale 9(26), 9034–9048 (2017).
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Vasilantonakis, N.

N. Vasilantonakis, M. E. Nasir, W. Dickson, G. A. Wurtz, and A. V. Zayats, “Bulk plasmon-polaritons in hyperbolic nanorod metamaterial waveguides,” Laser Photonics Rev. 9(3), 345–353 (2015).
[Crossref]

Wurtz, G. A.

N. Vasilantonakis, M. E. Nasir, W. Dickson, G. A. Wurtz, and A. V. Zayats, “Bulk plasmon-polaritons in hyperbolic nanorod metamaterial waveguides,” Laser Photonics Rev. 9(3), 345–353 (2015).
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P. Ginzburg, F. J. R. Fortuno, G. A. Wurtz, W. Dickson, A. Murphy, F. Morgan, R. J. Pollard, I. Iorsh, A. Atrashchenko, P. A. Belov, Y. S. Kivshar, A. Nevet, G. Ankonina, M. Orenstein, and A. V. Zayats, “Manipulating polarization of light with ultrathin epsilon-near-zero metamaterials,” Opt. Express 21(12), 14907–14917 (2013).
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Adv. Opt. Mater. (1)

B. Fan, M. E. Nasir, L. H. Nicholls, A. V. Zayats, and V. A. Podolskiy, “Magneto-optical metamaterials: Nonreciprocal transmission and faraday effect enhancement,” Adv. Opt. Mater. 7(14), 1801420 (2019).
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X. Ni, G. Naik, A. Kildishev, Y. Barnakov, A. Boltasseva, and V. Shalaev, “Effect of metallic and hyperbolic metamaterial surfaces on electric and magnetic dipole emission transitions,” Appl. Phys. B: Lasers Opt. 103(3), 553–558 (2011).
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N. Vasilantonakis, M. E. Nasir, W. Dickson, G. A. Wurtz, and A. V. Zayats, “Bulk plasmon-polaritons in hyperbolic nanorod metamaterial waveguides,” Laser Photonics Rev. 9(3), 345–353 (2015).
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N. Litchinitser and V. Shalaev, “Photonic metamaterials,” Laser Phys. Lett. 5(6), 411–420 (2008).
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P. Shekhar, J. Atkinson, and Z. Jacob, “Hyperbolic metamaterials: fundamentals and applications,” Nano Convergence 1(1), 14–17 (2014).
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Nanoscale (1)

L. Ferrari, J. Stephen, T. Smalley, Y. Fainman, and Z. Liu, “Hyperbolic metamaterials for dispersion-assisted directional light emission,” Nanoscale 9(26), 9034–9048 (2017).
[Crossref]

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A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, “Hyperbolic metamaterials,” Nat. Photonics 7(12), 948–957 (2013).
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Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. B (2)

R. Atkinson, W. R. Hendren, G. A. Wurtz, W. Dickson, A. V. Zayats, P. Evans, and R. J. Pollard, “Anisotropic optical properties of arrays of gold nanorods embedded in alumina,” Phys. Rev. B 73(23), 235402 (2006).
[Crossref]

J. B. Gonzalez-Diaz, A. Garcia-Martin, G. Armelles, J. M. Garcia-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, “Surface-magnetoplasmon nonreciprocity effects in noble-metal/ferromagnetic heterostructures,” Phys. Rev. B 76(15), 153402 (2007).
[Crossref]

Phys. Rev. E (1)

M. G. Silveirinha, “Nonlocal homogenization model for a periodic array of $\epsilon$ϵ-negative rods,” Phys. Rev. E 73(4), 046612 (2006).
[Crossref]

Other (2)

E. Palik, Handbook of Optical Constants of Solids (Academic, 2012).

Guide to Using WVASE Spectroscopic Ellipsometry Data Acquisition and Analyses Software (J.A. Woollam Co., Inc., 2012).

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Figures (4)

Fig. 1.
Fig. 1. (a) Scheme of the “HMM$+$Ni film” sample and the experimental setup for the Faraday effect measurements; (b) transmission spectra of the sample for different angles of incidence; (c) calculated spectra of the effective components Re$\epsilon _{\perp }$ (black line), Re$\epsilon _{\parallel }$ (red line). Shaded areas in (b), (c) correspond to the hyperbolic dispersion spectral regions.
Fig. 2.
Fig. 2. The data obtained from the ellipsometry measurements: (a) the complex Jones matrix element T$_1$ of the transmitted light for $\theta =$30$^{\circ }$; (b), (c), (d) the wavelength dependencies of the characteristics of the polarization state of the transmitted beam calculated using the ellipsometry data for $\phi =10^{\circ }$. Angles of incidence are indicated on the panels.
Fig. 3.
Fig. 3. (a) Angular-wavelength spectrum of $\rho$ in Faraday geometry for the p-polarized fundamental beam, the values of the $\rho$ in percents correspond to the colour scale; (b) cross-sections of the angular-wavelength spectrum for $\theta = 0,30$, and $45^{\circ }$; (c) Faraday rotation spectrum of the Ni film (black curve, right axis) and corresponding rotation of the axis of the polarization ellipse $\alpha$ in the “HMM$+$Ni film” (red curve, left axis), $\theta =45^{\circ }$.
Fig. 4.
Fig. 4. Calculated angular-wavelength spectra of the (a) $Re(q_z)/(\omega /c)$ and (b) $Im(q_z)/(\omega /c)$ values for TE and TM modes in HMM; bottom map in (a) is $Re(\Delta q_z)/(\omega /c)$.