Abstract

We performed a detailed theoretical study of the magneto-optical polar Kerr effect in magnetoplasmonic heterostructures consisting of a plasmonic film and a ferromagnetic layer with a corrugated top surface. Explicit analytical expressions allowing us to calculate the modifications of the polar Kerr effect in dependence on the thickness of the plasmonic and ferromagnetic layers as well as on the period and depth of the corrugation were derived. Interestingly, when applied to the test system of an Au/Co bilayer, our calculations show that the presence of corrugations is beneficial, as it allows us to tailor the magneto-optical response in a magnetoplasmonic composite in a resonant manner. This opens the possibility to enhance the strength of the Kerr effect by several orders of magnitude, which is beneficial for the investigation of systems in which magneto-optical responses are rather small, i.e., for characterization of biological or medical systems.

© 2013 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2013 (1)

G. Armelles, A. Cebollada, A. García-Martín, and M. Ujué González, “Magnetoplasmonics: combining magnetic and plasmonic functionalities,” Adv. Opt. Mater. 1, 10–35 (2013).
[CrossRef]

2012 (1)

S. Kinoshita, Y. Sakai, J. Miyazaki, and J. Watanabe, “Fundamental aspects of light scattering and optical Kerr effect spectroscopy. From basic phenomena to non-quantum behaviors,” Eur. J. Phys. Special Topics 209, 1–100 (2012).
[CrossRef]

2011 (2)

2010 (4)

D. K. Gramotnev and S. I. Bozhevolnyi, “Plasmonics beyond the diffraction limit,” Nat. Photonics 4, 83–91 (2010).
[CrossRef]

J. B. González-Díaz, B. Sepúlveda, A. García-Martín, and G. Armelles, “Cobalt dependence of the magneto-optical response in magnetoplasmonic nanodisks,” Appl. Phys. Lett. 97, 043114 (2010).
[CrossRef]

Y. Demidenko, D. Makarov, and V. Lozovski, “Local-field effects in magneto-plasmonic nanocomposites,” J. Opt. Soc. Am. B 27, 2700–2706 (2010).
[CrossRef]

V. G. Kravets and A. S. Lapchuk, “Enhancement of magneto-optical effects in magnetic nanoparticles near gold-dielectric surfaces,” Appl. Opt. 49, 5013–5019 (2010).
[CrossRef]

2009 (1)

G. Armelles, A. Cebollada, A. García-Martín, J. M. García-Martín, M. U. González, J. B. González-Díaz, E. Ferreiro-Vila, and J. F. Torrado, “Magnetoplasmonic nanostructures: systems supporting both plasmonic and magnetic properties,” J. Opt. A 11, 114023 (2009).
[CrossRef]

2008 (2)

2004 (1)

2003 (1)

A. Esitken, “Effects of magnetic fields on yield and growth in strawberry ‘Camarosa’,” J. Hort. Sci. Biotechnol. 78, 145–147 (2003).

2000 (1)

Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect,” Rev. Sci. Instrum. 71, 1243–1255 (2000).
[CrossRef]

1996 (2)

C. Y. You and S. C. Shin, “Derivation of simplified analytic formulae for magneto-optical Kerr effects,” Appl. Phys. Lett. 69, 1315–1317 (1996).
[CrossRef]

O. Keller, “Local fields in electrodynamics of mesoscopic media,” Phys. Rep. 268, 85–262 (1996).
[CrossRef]

1995 (1)

F. T. Hong, “Magnetic field effects on biomolecules, cells, and living organisms,” Biosystems 36, 187–229 (1995).
[CrossRef]

1994 (1)

V. I. Safarov, V. A. Kosobukin, C. Hermann, G. Lampel, and J. Peretti, “Magneto-optical effects enhanced by surface plasmons in metallic multilayer films,” Phys. Rev. Lett. 73, 3584–3587 (1994).
[CrossRef]

1992 (1)

M. L. Bah, A. Akjouj, and L. Dobrzynski, “Response functions in layered dielectric media,” Surf. Sci. Rep. 16, 97–131 (1992).
[CrossRef]

1990 (1)

H. Aoki, H. Yamazaki, T. Yoshino, and T. Akagi, “Effects of static magnetic fields on membrane permeability of a cultured cell line,” Res. Commun. Chem. Pathol. Pharmacol. 69, 103–106 (1990).

1983 (1)

1975 (1)

A. Maradudin and D. L. Mills, “Scattering and absorption of electromagnetic radiation by a semi-infinite medium in the presence of surface roughness,” Phys. Rev. B 11, 1392–1415 (1975).
[CrossRef]

1974 (1)

R. Carey and B. W. J. Thomas, “The theory of the Voigt effect in ferromagnetic materials,” J. Phys. D 7, 2362–2368 (1974).
[CrossRef]

1964 (1)

G. S. Krinchik, “Ferromagnetic Hall effect at optical frequencies and inner effective magnetic field of ferromagnetic metals,” J. Appl. Phys. 35, 1089–1092 (1964).
[CrossRef]

Acimovic, S.

Akagi, T.

H. Aoki, H. Yamazaki, T. Yoshino, and T. Akagi, “Effects of static magnetic fields on membrane permeability of a cultured cell line,” Res. Commun. Chem. Pathol. Pharmacol. 69, 103–106 (1990).

Akjouj, A.

M. L. Bah, A. Akjouj, and L. Dobrzynski, “Response functions in layered dielectric media,” Surf. Sci. Rep. 16, 97–131 (1992).
[CrossRef]

Alexander, R. W.

Aoki, H.

H. Aoki, H. Yamazaki, T. Yoshino, and T. Akagi, “Effects of static magnetic fields on membrane permeability of a cultured cell line,” Res. Commun. Chem. Pathol. Pharmacol. 69, 103–106 (1990).

Armelles, G.

G. Armelles, A. Cebollada, A. García-Martín, and M. Ujué González, “Magnetoplasmonics: combining magnetic and plasmonic functionalities,” Adv. Opt. Mater. 1, 10–35 (2013).
[CrossRef]

J. B. González-Díaz, B. Sepúlveda, A. García-Martín, and G. Armelles, “Cobalt dependence of the magneto-optical response in magnetoplasmonic nanodisks,” Appl. Phys. Lett. 97, 043114 (2010).
[CrossRef]

G. Armelles, A. Cebollada, A. García-Martín, J. M. García-Martín, M. U. González, J. B. González-Díaz, E. Ferreiro-Vila, and J. F. Torrado, “Magnetoplasmonic nanostructures: systems supporting both plasmonic and magnetic properties,” J. Opt. A 11, 114023 (2009).
[CrossRef]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. U. González, S. Acimovic, J. Cesario, R. Quidant, and G. Badenes, “Localized surface plasmon resonance effects on the magneto-optical activity of continuous Au/Co/Au trilayers,” Opt. Express 16, 16104–16112 (2008).
[CrossRef]

Badenes, G.

Bader, S. D.

Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect,” Rev. Sci. Instrum. 71, 1243–1255 (2000).
[CrossRef]

Bah, M. L.

M. L. Bah, A. Akjouj, and L. Dobrzynski, “Response functions in layered dielectric media,” Surf. Sci. Rep. 16, 97–131 (1992).
[CrossRef]

Bell, R. J.

Bell, R. R.

Bonod, N.

Bozhevolnyi, S. I.

D. K. Gramotnev and S. I. Bozhevolnyi, “Plasmonics beyond the diffraction limit,” Nat. Photonics 4, 83–91 (2010).
[CrossRef]

Carey, R.

R. Carey and B. W. J. Thomas, “The theory of the Voigt effect in ferromagnetic materials,” J. Phys. D 7, 2362–2368 (1974).
[CrossRef]

Cebollada, A.

G. Armelles, A. Cebollada, A. García-Martín, and M. Ujué González, “Magnetoplasmonics: combining magnetic and plasmonic functionalities,” Adv. Opt. Mater. 1, 10–35 (2013).
[CrossRef]

G. Armelles, A. Cebollada, A. García-Martín, J. M. García-Martín, M. U. González, J. B. González-Díaz, E. Ferreiro-Vila, and J. F. Torrado, “Magnetoplasmonic nanostructures: systems supporting both plasmonic and magnetic properties,” J. Opt. A 11, 114023 (2009).
[CrossRef]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. U. González, S. Acimovic, J. Cesario, R. Quidant, and G. Badenes, “Localized surface plasmon resonance effects on the magneto-optical activity of continuous Au/Co/Au trilayers,” Opt. Express 16, 16104–16112 (2008).
[CrossRef]

Cesario, J.

Cloud, M. J.

E. J. Rothwell and M. J. Cloud, Electromagnetics (CRC Press, 2001).

Demidenko, Y.

Dobrzynski, L.

M. L. Bah, A. Akjouj, and L. Dobrzynski, “Response functions in layered dielectric media,” Surf. Sci. Rep. 16, 97–131 (1992).
[CrossRef]

Esitken, A.

A. Esitken, “Effects of magnetic fields on yield and growth in strawberry ‘Camarosa’,” J. Hort. Sci. Biotechnol. 78, 145–147 (2003).

Ferreiro-Vila, E.

G. Armelles, A. Cebollada, A. García-Martín, J. M. García-Martín, M. U. González, J. B. González-Díaz, E. Ferreiro-Vila, and J. F. Torrado, “Magnetoplasmonic nanostructures: systems supporting both plasmonic and magnetic properties,” J. Opt. A 11, 114023 (2009).
[CrossRef]

García-Martín, A.

G. Armelles, A. Cebollada, A. García-Martín, and M. Ujué González, “Magnetoplasmonics: combining magnetic and plasmonic functionalities,” Adv. Opt. Mater. 1, 10–35 (2013).
[CrossRef]

J. B. González-Díaz, B. Sepúlveda, A. García-Martín, and G. Armelles, “Cobalt dependence of the magneto-optical response in magnetoplasmonic nanodisks,” Appl. Phys. Lett. 97, 043114 (2010).
[CrossRef]

G. Armelles, A. Cebollada, A. García-Martín, J. M. García-Martín, M. U. González, J. B. González-Díaz, E. Ferreiro-Vila, and J. F. Torrado, “Magnetoplasmonic nanostructures: systems supporting both plasmonic and magnetic properties,” J. Opt. A 11, 114023 (2009).
[CrossRef]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. U. González, S. Acimovic, J. Cesario, R. Quidant, and G. Badenes, “Localized surface plasmon resonance effects on the magneto-optical activity of continuous Au/Co/Au trilayers,” Opt. Express 16, 16104–16112 (2008).
[CrossRef]

García-Martín, J. M.

G. Armelles, A. Cebollada, A. García-Martín, J. M. García-Martín, M. U. González, J. B. González-Díaz, E. Ferreiro-Vila, and J. F. Torrado, “Magnetoplasmonic nanostructures: systems supporting both plasmonic and magnetic properties,” J. Opt. A 11, 114023 (2009).
[CrossRef]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. U. González, S. Acimovic, J. Cesario, R. Quidant, and G. Badenes, “Localized surface plasmon resonance effects on the magneto-optical activity of continuous Au/Co/Au trilayers,” Opt. Express 16, 16104–16112 (2008).
[CrossRef]

González, M. U.

G. Armelles, A. Cebollada, A. García-Martín, J. M. García-Martín, M. U. González, J. B. González-Díaz, E. Ferreiro-Vila, and J. F. Torrado, “Magnetoplasmonic nanostructures: systems supporting both plasmonic and magnetic properties,” J. Opt. A 11, 114023 (2009).
[CrossRef]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. U. González, S. Acimovic, J. Cesario, R. Quidant, and G. Badenes, “Localized surface plasmon resonance effects on the magneto-optical activity of continuous Au/Co/Au trilayers,” Opt. Express 16, 16104–16112 (2008).
[CrossRef]

González, M. Ujué

G. Armelles, A. Cebollada, A. García-Martín, and M. Ujué González, “Magnetoplasmonics: combining magnetic and plasmonic functionalities,” Adv. Opt. Mater. 1, 10–35 (2013).
[CrossRef]

González-Díaz, J. B.

J. B. González-Díaz, B. Sepúlveda, A. García-Martín, and G. Armelles, “Cobalt dependence of the magneto-optical response in magnetoplasmonic nanodisks,” Appl. Phys. Lett. 97, 043114 (2010).
[CrossRef]

G. Armelles, A. Cebollada, A. García-Martín, J. M. García-Martín, M. U. González, J. B. González-Díaz, E. Ferreiro-Vila, and J. F. Torrado, “Magnetoplasmonic nanostructures: systems supporting both plasmonic and magnetic properties,” J. Opt. A 11, 114023 (2009).
[CrossRef]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. U. González, S. Acimovic, J. Cesario, R. Quidant, and G. Badenes, “Localized surface plasmon resonance effects on the magneto-optical activity of continuous Au/Co/Au trilayers,” Opt. Express 16, 16104–16112 (2008).
[CrossRef]

Gramotnev, D. K.

D. K. Gramotnev and S. I. Bozhevolnyi, “Plasmonics beyond the diffraction limit,” Nat. Photonics 4, 83–91 (2010).
[CrossRef]

Hermann, C.

V. I. Safarov, V. A. Kosobukin, C. Hermann, G. Lampel, and J. Peretti, “Magneto-optical effects enhanced by surface plasmons in metallic multilayer films,” Phys. Rev. Lett. 73, 3584–3587 (1994).
[CrossRef]

Hong, F. T.

F. T. Hong, “Magnetic field effects on biomolecules, cells, and living organisms,” Biosystems 36, 187–229 (1995).
[CrossRef]

Keller, O.

O. Keller, “Local fields in electrodynamics of mesoscopic media,” Phys. Rep. 268, 85–262 (1996).
[CrossRef]

Kinoshita, S.

S. Kinoshita, Y. Sakai, J. Miyazaki, and J. Watanabe, “Fundamental aspects of light scattering and optical Kerr effect spectroscopy. From basic phenomena to non-quantum behaviors,” Eur. J. Phys. Special Topics 209, 1–100 (2012).
[CrossRef]

Kosobukin, V. A.

V. I. Safarov, V. A. Kosobukin, C. Hermann, G. Lampel, and J. Peretti, “Magneto-optical effects enhanced by surface plasmons in metallic multilayer films,” Phys. Rev. Lett. 73, 3584–3587 (1994).
[CrossRef]

Kravets, V. G.

Krinchik, G. S.

G. S. Krinchik, “Ferromagnetic Hall effect at optical frequencies and inner effective magnetic field of ferromagnetic metals,” J. Appl. Phys. 35, 1089–1092 (1964).
[CrossRef]

Lampel, G.

V. I. Safarov, V. A. Kosobukin, C. Hermann, G. Lampel, and J. Peretti, “Magneto-optical effects enhanced by surface plasmons in metallic multilayer films,” Phys. Rev. Lett. 73, 3584–3587 (1994).
[CrossRef]

Lapchuk, A. S.

Long, L. L.

Lozovski, V.

Makarov, D.

Maradudin, A.

A. Maradudin and D. L. Mills, “Scattering and absorption of electromagnetic radiation by a semi-infinite medium in the presence of surface roughness,” Phys. Rev. B 11, 1392–1415 (1975).
[CrossRef]

Mills, D. L.

A. Maradudin and D. L. Mills, “Scattering and absorption of electromagnetic radiation by a semi-infinite medium in the presence of surface roughness,” Phys. Rev. B 11, 1392–1415 (1975).
[CrossRef]

Miyazaki, J.

S. Kinoshita, Y. Sakai, J. Miyazaki, and J. Watanabe, “Fundamental aspects of light scattering and optical Kerr effect spectroscopy. From basic phenomena to non-quantum behaviors,” Eur. J. Phys. Special Topics 209, 1–100 (2012).
[CrossRef]

Nevière, M.

Ordal, M. A.

Peretti, J.

V. I. Safarov, V. A. Kosobukin, C. Hermann, G. Lampel, and J. Peretti, “Magneto-optical effects enhanced by surface plasmons in metallic multilayer films,” Phys. Rev. Lett. 73, 3584–3587 (1994).
[CrossRef]

Popov, E.

Qiu, Z. Q.

Z. Q. Qiu and S. D. Bader, “Surface magneto-optic Kerr effect,” Rev. Sci. Instrum. 71, 1243–1255 (2000).
[CrossRef]

Quidant, R.

Reinisch, R.

Rothwell, E. J.

E. J. Rothwell and M. J. Cloud, Electromagnetics (CRC Press, 2001).

Safarov, V. I.

V. I. Safarov, V. A. Kosobukin, C. Hermann, G. Lampel, and J. Peretti, “Magneto-optical effects enhanced by surface plasmons in metallic multilayer films,” Phys. Rev. Lett. 73, 3584–3587 (1994).
[CrossRef]

Sakai, Y.

S. Kinoshita, Y. Sakai, J. Miyazaki, and J. Watanabe, “Fundamental aspects of light scattering and optical Kerr effect spectroscopy. From basic phenomena to non-quantum behaviors,” Eur. J. Phys. Special Topics 209, 1–100 (2012).
[CrossRef]

Schmidt, O. G.

Sepúlveda, B.

J. B. González-Díaz, B. Sepúlveda, A. García-Martín, and G. Armelles, “Cobalt dependence of the magneto-optical response in magnetoplasmonic nanodisks,” Appl. Phys. Lett. 97, 043114 (2010).
[CrossRef]

Shin, S. C.

C. Y. You and S. C. Shin, “Derivation of simplified analytic formulae for magneto-optical Kerr effects,” Appl. Phys. Lett. 69, 1315–1317 (1996).
[CrossRef]

Stockman, M. I.

Thomas, B. W. J.

R. Carey and B. W. J. Thomas, “The theory of the Voigt effect in ferromagnetic materials,” J. Phys. D 7, 2362–2368 (1974).
[CrossRef]

Torrado, J. F.

G. Armelles, A. Cebollada, A. García-Martín, J. M. García-Martín, M. U. González, J. B. González-Díaz, E. Ferreiro-Vila, and J. F. Torrado, “Magnetoplasmonic nanostructures: systems supporting both plasmonic and magnetic properties,” J. Opt. A 11, 114023 (2009).
[CrossRef]

Ward, C. A.

Watanabe, J.

S. Kinoshita, Y. Sakai, J. Miyazaki, and J. Watanabe, “Fundamental aspects of light scattering and optical Kerr effect spectroscopy. From basic phenomena to non-quantum behaviors,” Eur. J. Phys. Special Topics 209, 1–100 (2012).
[CrossRef]

Weinberger, P.

P. Weinberger, “John Kerr and his effects found in 1877 and 1878,” Philos. Mag. Lett. 88(12), 897–907 (2008).
[CrossRef]

Yamazaki, H.

H. Aoki, H. Yamazaki, T. Yoshino, and T. Akagi, “Effects of static magnetic fields on membrane permeability of a cultured cell line,” Res. Commun. Chem. Pathol. Pharmacol. 69, 103–106 (1990).

Yoshino, T.

H. Aoki, H. Yamazaki, T. Yoshino, and T. Akagi, “Effects of static magnetic fields on membrane permeability of a cultured cell line,” Res. Commun. Chem. Pathol. Pharmacol. 69, 103–106 (1990).

You, C. Y.

C. Y. You and S. C. Shin, “Derivation of simplified analytic formulae for magneto-optical Kerr effects,” Appl. Phys. Lett. 69, 1315–1317 (1996).
[CrossRef]

Adv. Opt. Mater. (1)

G. Armelles, A. Cebollada, A. García-Martín, and M. Ujué González, “Magnetoplasmonics: combining magnetic and plasmonic functionalities,” Adv. Opt. Mater. 1, 10–35 (2013).
[CrossRef]

Appl. Opt. (2)

Appl. Phys. Lett. (2)

C. Y. You and S. C. Shin, “Derivation of simplified analytic formulae for magneto-optical Kerr effects,” Appl. Phys. Lett. 69, 1315–1317 (1996).
[CrossRef]

J. B. González-Díaz, B. Sepúlveda, A. García-Martín, and G. Armelles, “Cobalt dependence of the magneto-optical response in magnetoplasmonic nanodisks,” Appl. Phys. Lett. 97, 043114 (2010).
[CrossRef]

Biosystems (1)

F. T. Hong, “Magnetic field effects on biomolecules, cells, and living organisms,” Biosystems 36, 187–229 (1995).
[CrossRef]

Eur. J. Phys. Special Topics (1)

S. Kinoshita, Y. Sakai, J. Miyazaki, and J. Watanabe, “Fundamental aspects of light scattering and optical Kerr effect spectroscopy. From basic phenomena to non-quantum behaviors,” Eur. J. Phys. Special Topics 209, 1–100 (2012).
[CrossRef]

J. Appl. Phys. (1)

G. S. Krinchik, “Ferromagnetic Hall effect at optical frequencies and inner effective magnetic field of ferromagnetic metals,” J. Appl. Phys. 35, 1089–1092 (1964).
[CrossRef]

J. Hort. Sci. Biotechnol. (1)

A. Esitken, “Effects of magnetic fields on yield and growth in strawberry ‘Camarosa’,” J. Hort. Sci. Biotechnol. 78, 145–147 (2003).

J. Opt. A (1)

G. Armelles, A. Cebollada, A. García-Martín, J. M. García-Martín, M. U. González, J. B. González-Díaz, E. Ferreiro-Vila, and J. F. Torrado, “Magnetoplasmonic nanostructures: systems supporting both plasmonic and magnetic properties,” J. Opt. A 11, 114023 (2009).
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Opt. Express (2)

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P. Weinberger, “John Kerr and his effects found in 1877 and 1878,” Philos. Mag. Lett. 88(12), 897–907 (2008).
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