Abstract

We report that the effect of an external magnetic field on the propagation of surface plasmons can be effectively modified through the coupling between localized (LSP) and propagating (SPP) surface plasmons. When these plasmon modes do not interact, the main effect of the magnetic field is a modification of the wavevector of the SPP mode, leaving the LSP virtually unaffected. Once both modes start to interact, there is a strong variation of the magnetic field induced modification of the SPP dispersion curve and, simultaneously, the LSP mode becomes sensitive to the magnetic field.

© 2010 OSA

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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  25. J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
    [CrossRef] [PubMed]
  26. A. García-Martín, G. Armelles, and S. Pereira, “Light transport in photonic crystals composed of magneto-optically active materials,” Phys. Rev. B 71(20), 205116 (2005).
    [CrossRef]

2010

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

2009

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljacić, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

Y. Chu and K. B. Crozier, “Experimental study of the interaction between localized and propagating surface plasmons,” Opt. Lett. 34(3), 244–246 (2009).
[CrossRef] [PubMed]

A. Ghoshal, I. Divliansky, and P. G. Kik, “Experimental observation of mode-selective anticrossing in surface-plasmon-coupled metal nanoparticle arrays,” Appl. Phys. Lett. 94(17), 171108 (2009).
[CrossRef]

2008

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. Ujué 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(20), 16104–16112 (2008), http://www.opticsexpress.org/abstract.cfm?URI=oe-16-20-16104 .
[CrossRef] [PubMed]

J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
[CrossRef] [PubMed]

F. D. M. Haldane and S. Raghu, “Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry,” Phys. Rev. Lett. 100(1), 013904 (2008).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljacić, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

2007

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90(12), 121133 (2007).
[CrossRef]

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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

E. Ozbay, “Plasmonics: merging photonics and electronics at nanoscale dimensions,” Science 311(5758), 189–193 (2006).
[CrossRef] [PubMed]

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, “Asymmetric propagation of electromagnetic waves through a planar chiral structure,” Phys. Rev. Lett. 97(16), 167401 (2006).
[CrossRef] [PubMed]

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Controlling the interaction between localized and delocalized surface plasmon modes: Experiment and numerical calculations,” Phys. Rev. B 74(15), 155435 (2006).
[CrossRef]

2005

T. A. Kelf, Y. Sugawara, J. J. Baumberg, M. Abdelsalam, and P. N. Bartlett, “Plasmonic band gaps and trapped plasmons on nanostructured metal surfaces,” Phys. Rev. Lett. 95(11), 116802 (2005).
[CrossRef] [PubMed]

J. Cesario, R. Quidant, G. Badenes, and S. Enoch, “Electromagnetic coupling between a metal nanoparticle grating and a metallic surface,” Opt. Lett. 30(24), 3404–3406 (2005).
[CrossRef]

A. García-Martín, G. Armelles, and S. Pereira, “Light transport in photonic crystals composed of magneto-optically active materials,” Phys. Rev. B 71(20), 205116 (2005).
[CrossRef]

2003

A. Figotin and I. Vitebskiy, “Electromagnetic unidirectionality in magnetic photonic crystals,” Phys. Rev. B 67(16), 165210 (2003).
[CrossRef]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[CrossRef] [PubMed]

2001

C. Hermann, V. A. Kosobukin, G. Lampel, J. Peretti, V. I. Safarov, and P. Bertrand, “Surface-enhanced magneto-optics in metallic multilayer films,” Phys. Rev. B 64(23), 235422 (2001).
[CrossRef]

C. Dehesa-Martinez, L. Blanco-Gutierrez, M. Vélez, J. Diaz, L. M. Alvarez-Prado, and J. M. Alameda, “Magneto-optical transverse Kerr effect in multilayers,” Phys. Rev. B 64(2), 024417 (2001).
[CrossRef]

1996

S. C. Kitson, W. L. Barnes, and J. R. Sambles, “Full Photonic Band Gap for Surface Modes in the Visible,” Phys. Rev. Lett. 77(13), 2670–2673 (1996).
[CrossRef] [PubMed]

1987

R. E. Camley, “Nonreciprocal surface waves,” Surf. Sci. Rep. 7(3-4), 103–187 (1987).
[CrossRef]

Abdelsalam, M.

T. A. Kelf, Y. Sugawara, J. J. Baumberg, M. Abdelsalam, and P. N. Bartlett, “Plasmonic band gaps and trapped plasmons on nanostructured metal surfaces,” Phys. Rev. Lett. 95(11), 116802 (2005).
[CrossRef] [PubMed]

Acimovic, S.

Alameda, J. M.

C. Dehesa-Martinez, L. Blanco-Gutierrez, M. Vélez, J. Diaz, L. M. Alvarez-Prado, and J. M. Alameda, “Magneto-optical transverse Kerr effect in multilayers,” Phys. Rev. B 64(2), 024417 (2001).
[CrossRef]

Alaverdyan, Y.

J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
[CrossRef] [PubMed]

Alvarez-Prado, L. M.

C. Dehesa-Martinez, L. Blanco-Gutierrez, M. Vélez, J. Diaz, L. M. Alvarez-Prado, and J. M. Alameda, “Magneto-optical transverse Kerr effect in multilayers,” Phys. Rev. B 64(2), 024417 (2001).
[CrossRef]

Armelles, G.

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. Ujué 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(20), 16104–16112 (2008), http://www.opticsexpress.org/abstract.cfm?URI=oe-16-20-16104 .
[CrossRef] [PubMed]

J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
[CrossRef] [PubMed]

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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]

A. García-Martín, G. Armelles, and S. Pereira, “Light transport in photonic crystals composed of magneto-optically active materials,” Phys. Rev. B 71(20), 205116 (2005).
[CrossRef]

Badenes, G.

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[CrossRef] [PubMed]

S. C. Kitson, W. L. Barnes, and J. R. Sambles, “Full Photonic Band Gap for Surface Modes in the Visible,” Phys. Rev. Lett. 77(13), 2670–2673 (1996).
[CrossRef] [PubMed]

Bartlett, P. N.

T. A. Kelf, Y. Sugawara, J. J. Baumberg, M. Abdelsalam, and P. N. Bartlett, “Plasmonic band gaps and trapped plasmons on nanostructured metal surfaces,” Phys. Rev. Lett. 95(11), 116802 (2005).
[CrossRef] [PubMed]

Baumberg, J. J.

T. A. Kelf, Y. Sugawara, J. J. Baumberg, M. Abdelsalam, and P. N. Bartlett, “Plasmonic band gaps and trapped plasmons on nanostructured metal surfaces,” Phys. Rev. Lett. 95(11), 116802 (2005).
[CrossRef] [PubMed]

Bertrand, P.

C. Hermann, V. A. Kosobukin, G. Lampel, J. Peretti, V. I. Safarov, and P. Bertrand, “Surface-enhanced magneto-optics in metallic multilayer films,” Phys. Rev. B 64(23), 235422 (2001).
[CrossRef]

Blanco-Gutierrez, L.

C. Dehesa-Martinez, L. Blanco-Gutierrez, M. Vélez, J. Diaz, L. M. Alvarez-Prado, and J. M. Alameda, “Magneto-optical transverse Kerr effect in multilayers,” Phys. Rev. B 64(2), 024417 (2001).
[CrossRef]

Braschitsch, R.

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

Camley, R. E.

R. E. Camley, “Nonreciprocal surface waves,” Surf. Sci. Rep. 7(3-4), 103–187 (1987).
[CrossRef]

Cebollada, A.

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. Ujué 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(20), 16104–16112 (2008), http://www.opticsexpress.org/abstract.cfm?URI=oe-16-20-16104 .
[CrossRef] [PubMed]

J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
[CrossRef] [PubMed]

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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]

Cesario, J.

Chen, Y.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, “Asymmetric propagation of electromagnetic waves through a planar chiral structure,” Phys. Rev. Lett. 97(16), 167401 (2006).
[CrossRef] [PubMed]

Chong, Y.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljacić, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

Chong, Y. D.

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljacić, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Christ, A.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Controlling the interaction between localized and delocalized surface plasmon modes: Experiment and numerical calculations,” Phys. Rev. B 74(15), 155435 (2006).
[CrossRef]

Chu, Y.

Clarke, R.

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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]

Crozier, K. B.

Dehesa-Martinez, C.

C. Dehesa-Martinez, L. Blanco-Gutierrez, M. Vélez, J. Diaz, L. M. Alvarez-Prado, and J. M. Alameda, “Magneto-optical transverse Kerr effect in multilayers,” Phys. Rev. B 64(2), 024417 (2001).
[CrossRef]

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[CrossRef] [PubMed]

Diaz, J.

C. Dehesa-Martinez, L. Blanco-Gutierrez, M. Vélez, J. Diaz, L. M. Alvarez-Prado, and J. M. Alameda, “Magneto-optical transverse Kerr effect in multilayers,” Phys. Rev. B 64(2), 024417 (2001).
[CrossRef]

Divliansky, I.

A. Ghoshal, I. Divliansky, and P. G. Kik, “Experimental observation of mode-selective anticrossing in surface-plasmon-coupled metal nanoparticle arrays,” Appl. Phys. Lett. 94(17), 171108 (2009).
[CrossRef]

Ebbesen, T. W.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[CrossRef] [PubMed]

Enoch, S.

Fan, S.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90(12), 121133 (2007).
[CrossRef]

Fedotov, V. A.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, “Asymmetric propagation of electromagnetic waves through a planar chiral structure,” Phys. Rev. Lett. 97(16), 167401 (2006).
[CrossRef] [PubMed]

Fermento, R.

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

Ferreiro-Vila, E.

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

Figotin, A.

A. Figotin and I. Vitebskiy, “Electromagnetic unidirectionality in magnetic photonic crystals,” Phys. Rev. B 67(16), 165210 (2003).
[CrossRef]

García-Martín, A.

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. Ujué 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(20), 16104–16112 (2008), http://www.opticsexpress.org/abstract.cfm?URI=oe-16-20-16104 .
[CrossRef] [PubMed]

J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
[CrossRef] [PubMed]

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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]

A. García-Martín, G. Armelles, and S. Pereira, “Light transport in photonic crystals composed of magneto-optically active materials,” Phys. Rev. B 71(20), 205116 (2005).
[CrossRef]

García-Martín, J.

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

García-Martín, J. M.

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
[CrossRef] [PubMed]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. Ujué 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(20), 16104–16112 (2008), http://www.opticsexpress.org/abstract.cfm?URI=oe-16-20-16104 .
[CrossRef] [PubMed]

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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]

Ghoshal, A.

A. Ghoshal, I. Divliansky, and P. G. Kik, “Experimental observation of mode-selective anticrossing in surface-plasmon-coupled metal nanoparticle arrays,” Appl. Phys. Lett. 94(17), 171108 (2009).
[CrossRef]

Giessen, H.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Controlling the interaction between localized and delocalized surface plasmon modes: Experiment and numerical calculations,” Phys. Rev. B 74(15), 155435 (2006).
[CrossRef]

Gippius, N. A.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Controlling the interaction between localized and delocalized surface plasmon modes: Experiment and numerical calculations,” Phys. Rev. B 74(15), 155435 (2006).
[CrossRef]

González, M. U.

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

González-Díaz, J. B.

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

G. Armelles, J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, M. Ujué 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(20), 16104–16112 (2008), http://www.opticsexpress.org/abstract.cfm?URI=oe-16-20-16104 .
[CrossRef] [PubMed]

J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
[CrossRef] [PubMed]

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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]

Guzatov, D.

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

Haldane, F. D. M.

F. D. M. Haldane and S. Raghu, “Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry,” Phys. Rev. Lett. 100(1), 013904 (2008).
[CrossRef] [PubMed]

Hermann, C.

C. Hermann, V. A. Kosobukin, G. Lampel, J. Peretti, V. I. Safarov, and P. Bertrand, “Surface-enhanced magneto-optics in metallic multilayer films,” Phys. Rev. B 64(23), 235422 (2001).
[CrossRef]

Joannopoulos, J. D.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljacić, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljacić, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Käll, M.

J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
[CrossRef] [PubMed]

Kelf, T. A.

T. A. Kelf, Y. Sugawara, J. J. Baumberg, M. Abdelsalam, and P. N. Bartlett, “Plasmonic band gaps and trapped plasmons on nanostructured metal surfaces,” Phys. Rev. Lett. 95(11), 116802 (2005).
[CrossRef] [PubMed]

Kik, P. G.

A. Ghoshal, I. Divliansky, and P. G. Kik, “Experimental observation of mode-selective anticrossing in surface-plasmon-coupled metal nanoparticle arrays,” Appl. Phys. Lett. 94(17), 171108 (2009).
[CrossRef]

Kitson, S. C.

S. C. Kitson, W. L. Barnes, and J. R. Sambles, “Full Photonic Band Gap for Surface Modes in the Visible,” Phys. Rev. Lett. 77(13), 2670–2673 (1996).
[CrossRef] [PubMed]

Kosobukin, V. A.

C. Hermann, V. A. Kosobukin, G. Lampel, J. Peretti, V. I. Safarov, and P. Bertrand, “Surface-enhanced magneto-optics in metallic multilayer films,” Phys. Rev. B 64(23), 235422 (2001).
[CrossRef]

Kuhl, J.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Controlling the interaction between localized and delocalized surface plasmon modes: Experiment and numerical calculations,” Phys. Rev. B 74(15), 155435 (2006).
[CrossRef]

Kumah, D. P.

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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]

Lampel, G.

C. Hermann, V. A. Kosobukin, G. Lampel, J. Peretti, V. I. Safarov, and P. Bertrand, “Surface-enhanced magneto-optics in metallic multilayer films,” Phys. Rev. B 64(23), 235422 (2001).
[CrossRef]

Leitenstorfer, A.

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

Lukascew, R. A.

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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]

Meneses-Rodríguez, D.

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

Mladyonov, P. L.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, “Asymmetric propagation of electromagnetic waves through a planar chiral structure,” Phys. Rev. Lett. 97(16), 167401 (2006).
[CrossRef] [PubMed]

Muñoz-Sandoval, E.

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

Ozbay, E.

E. Ozbay, “Plasmonics: merging photonics and electronics at nanoscale dimensions,” Science 311(5758), 189–193 (2006).
[CrossRef] [PubMed]

Pereira, S.

A. García-Martín, G. Armelles, and S. Pereira, “Light transport in photonic crystals composed of magneto-optically active materials,” Phys. Rev. B 71(20), 205116 (2005).
[CrossRef]

Peretti, J.

C. Hermann, V. A. Kosobukin, G. Lampel, J. Peretti, V. I. Safarov, and P. Bertrand, “Surface-enhanced magneto-optics in metallic multilayer films,” Phys. Rev. B 64(23), 235422 (2001).
[CrossRef]

Prosvirnin, S. L.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, “Asymmetric propagation of electromagnetic waves through a planar chiral structure,” Phys. Rev. Lett. 97(16), 167401 (2006).
[CrossRef] [PubMed]

Quidant, R.

Raghu, S.

F. D. M. Haldane and S. Raghu, “Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry,” Phys. Rev. Lett. 100(1), 013904 (2008).
[CrossRef] [PubMed]

Rogacheva, A. V.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, “Asymmetric propagation of electromagnetic waves through a planar chiral structure,” Phys. Rev. Lett. 97(16), 167401 (2006).
[CrossRef] [PubMed]

Safarov, V. I.

C. Hermann, V. A. Kosobukin, G. Lampel, J. Peretti, V. I. Safarov, and P. Bertrand, “Surface-enhanced magneto-optics in metallic multilayer films,” Phys. Rev. B 64(23), 235422 (2001).
[CrossRef]

Sambles, J. R.

S. C. Kitson, W. L. Barnes, and J. R. Sambles, “Full Photonic Band Gap for Surface Modes in the Visible,” Phys. Rev. Lett. 77(13), 2670–2673 (1996).
[CrossRef] [PubMed]

Sepúlveda, B.

J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
[CrossRef] [PubMed]

Skuza, J. R.

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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]

Soljacic, M.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljacić, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljacić, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Sugawara, Y.

T. A. Kelf, Y. Sugawara, J. J. Baumberg, M. Abdelsalam, and P. N. Bartlett, “Plasmonic band gaps and trapped plasmons on nanostructured metal surfaces,” Phys. Rev. Lett. 95(11), 116802 (2005).
[CrossRef] [PubMed]

Temnov, V. V.

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

Thomay, T.

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

Tikhodeev, S. G.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Controlling the interaction between localized and delocalized surface plasmon modes: Experiment and numerical calculations,” Phys. Rev. B 74(15), 155435 (2006).
[CrossRef]

Ujué González, M.

Vélez, M.

C. Dehesa-Martinez, L. Blanco-Gutierrez, M. Vélez, J. Diaz, L. M. Alvarez-Prado, and J. M. Alameda, “Magneto-optical transverse Kerr effect in multilayers,” Phys. Rev. B 64(2), 024417 (2001).
[CrossRef]

Veronis, G.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

Vitebskiy, I.

A. Figotin and I. Vitebskiy, “Electromagnetic unidirectionality in magnetic photonic crystals,” Phys. Rev. B 67(16), 165210 (2003).
[CrossRef]

Wang, Z.

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljacić, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljacić, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90(12), 121133 (2007).
[CrossRef]

Woggon, U.

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

Yu, Z.

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90(12), 121133 (2007).
[CrossRef]

Zentgraf, T.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Controlling the interaction between localized and delocalized surface plasmon modes: Experiment and numerical calculations,” Phys. Rev. B 74(15), 155435 (2006).
[CrossRef]

Zheludev, N. I.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, “Asymmetric propagation of electromagnetic waves through a planar chiral structure,” Phys. Rev. Lett. 97(16), 167401 (2006).
[CrossRef] [PubMed]

Appl. Phys. Lett.

Z. Yu, Z. Wang, and S. Fan, “One-way total reflection with one-dimensional magneto-optical photonic crystals,” Appl. Phys. Lett. 90(12), 121133 (2007).
[CrossRef]

A. Ghoshal, I. Divliansky, and P. G. Kik, “Experimental observation of mode-selective anticrossing in surface-plasmon-coupled metal nanoparticle arrays,” Appl. Phys. Lett. 94(17), 171108 (2009).
[CrossRef]

Nat. Photonics

V. V. Temnov, G. Armelles, U. Woggon, D. Guzatov, A. Cebollada, A. García-Martín, J. García-Martín, T. Thomay, A. Leitenstorfer, and R. Braschitsch, “Active magnetoplasmonics in hybrid metal/ferromagnet/metal microinterferometers,” Nat. Photonics 4, 107 (2010).
[CrossRef]

Nature

Z. Wang, Y. Chong, J. D. Joannopoulos, and M. Soljacić, “Observation of unidirectional backscattering-immune topological electromagnetic states,” Nature 461(7265), 772–775 (2009).
[CrossRef] [PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424(6950), 824–830 (2003).
[CrossRef] [PubMed]

Opt. Express

Opt. Lett.

Phys. Rev. B

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Controlling the interaction between localized and delocalized surface plasmon modes: Experiment and numerical calculations,” Phys. Rev. B 74(15), 155435 (2006).
[CrossRef]

C. Hermann, V. A. Kosobukin, G. Lampel, J. Peretti, V. I. Safarov, and P. Bertrand, “Surface-enhanced magneto-optics in metallic multilayer films,” Phys. Rev. B 64(23), 235422 (2001).
[CrossRef]

J. B. González-Díaz, A. García-Martín, G. Armelles, J. M. García-Martín, C. Clavero, A. Cebollada, R. A. Lukascew, 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]

E. Ferreiro-Vila, J. B. González-Díaz, R. Fermento, M. U. González, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, D. Meneses-Rodríguez, and E. Muñoz-Sandoval, “Intertwined magneto-optical and plasmonic effects in Ag/Co/Ag layered structures,” Phys. Rev. B 80(12), 125132 (2009).
[CrossRef]

A. Figotin and I. Vitebskiy, “Electromagnetic unidirectionality in magnetic photonic crystals,” Phys. Rev. B 67(16), 165210 (2003).
[CrossRef]

C. Dehesa-Martinez, L. Blanco-Gutierrez, M. Vélez, J. Diaz, L. M. Alvarez-Prado, and J. M. Alameda, “Magneto-optical transverse Kerr effect in multilayers,” Phys. Rev. B 64(2), 024417 (2001).
[CrossRef]

A. García-Martín, G. Armelles, and S. Pereira, “Light transport in photonic crystals composed of magneto-optically active materials,” Phys. Rev. B 71(20), 205116 (2005).
[CrossRef]

Phys. Rev. Lett.

S. C. Kitson, W. L. Barnes, and J. R. Sambles, “Full Photonic Band Gap for Surface Modes in the Visible,” Phys. Rev. Lett. 77(13), 2670–2673 (1996).
[CrossRef] [PubMed]

T. A. Kelf, Y. Sugawara, J. J. Baumberg, M. Abdelsalam, and P. N. Bartlett, “Plasmonic band gaps and trapped plasmons on nanostructured metal surfaces,” Phys. Rev. Lett. 95(11), 116802 (2005).
[CrossRef] [PubMed]

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, A. V. Rogacheva, Y. Chen, and N. I. Zheludev, “Asymmetric propagation of electromagnetic waves through a planar chiral structure,” Phys. Rev. Lett. 97(16), 167401 (2006).
[CrossRef] [PubMed]

F. D. M. Haldane and S. Raghu, “Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry,” Phys. Rev. Lett. 100(1), 013904 (2008).
[CrossRef] [PubMed]

Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljacić, “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100(1), 013905 (2008).
[CrossRef] [PubMed]

Z. Yu, G. Veronis, Z. Wang, and S. Fan, “One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal,” Phys. Rev. Lett. 100(2), 023902 (2008).
[CrossRef] [PubMed]

Science

E. Ozbay, “Plasmonics: merging photonics and electronics at nanoscale dimensions,” Science 311(5758), 189–193 (2006).
[CrossRef] [PubMed]

Small

J. B. González-Díaz, A. García-Martín, J. M. García-Martín, A. Cebollada, G. Armelles, B. Sepúlveda, Y. Alaverdyan, and M. Käll, “Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity,” Small 4(2), 202–205 (2008).
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Surf. Sci. Rep.

R. E. Camley, “Nonreciprocal surface waves,” Surf. Sci. Rep. 7(3-4), 103–187 (1987).
[CrossRef]

Other

R. F. Wallis, "Surface magnetoplasmons on semiconductors," in Electromagnetic surface modes (John Wiley & Sons, 1982), Chap. 15 – , pp. 575–631.

A. Zvezdin and V. Kotov, Modern Magnetooptics and Magnetooptical Materials, Condensed Matter Physics (Taylor and Francis Group, New York, 1997).

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Figures (4)

Fig. 1
Fig. 1

(a) Spectral dependence of the TMOKE signal for an angle of incidence of 50° in the regions without and with (300 nm array periodicity) gold disks. The insets show the sketch of the experimental configuration and the evolution of the reflectivity with the applied magnetic field. (b) “Renormalized” TMOKE signal, corresponding to the TMOKE signal of the region with disks minus that of the region without disks.

Fig. 2
Fig. 2

Evolution with the angle of incidence of the TMOKE spectra for arrays of periodicity 300 nm (upper left) and 400 nm (upper right). The spectra are shifted for clarity, and the small marks in the lateral axes indicate the zero level for each curve. The bar in the upper left side of the left graph shows the graphs scale. The bottom graphs show the evolution with the angle of incidence of the two different features observed in the spectra: propagating surface plasmon (P1, Δ) and localized surface plasmon (L, ◯). The dashed lines are guides for the eyes pointing out the anticrossing behavior at the interaction region.

Fig. 3
Fig. 3

(a) Schema of the modification of the SPP dispersion relation under switching of the Co layer magnetization. (b) Experimental TMOKE spectra (closed symbols) for the sample with a disks array of period 400 nm for three different angles of incidence, together with the energy derivatives of the reflectivity (open symbols). (c) Calculated TMOKE spectra (dashed lines) and energy derivatives of the simulated reflectivity (continuous lines) for the same system.

Fig. 4
Fig. 4

(a) Experimental dispersion relations of the LSP and SPP modes for the sample with an array of period 400 nm, extracted from the TMOKE spectra shown in Fig. 2 (solid symbols), together with the dispersion relation extracted from calculations (continuous lines). (b) Evolution of the magnetic field-induced modulation for the different plasmon modes: LSP (dot-dashed black line, theory), SPP (red continuous line for theory, triangles for experimental data) and SPP for a SiO2/Au/Co/Au multilayer system without disks array on top (dotted red line, theory).

Equations (2)

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T M O K E R ( + M ) R ( M ) R ( + M ) + R ( M ) .
R ( + M ) R ( M ) R E Δ E ,

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