Abstract

Optically thin metal gratings of high filling factor can support surface plasmon polariton modes at their horizontal metal boundaries and vertical cavity modes inside their slits. These modes are coupled through the metal stripes and the slits. This letter shows that the resonant interactions between the modes critically influence the optical field distribution near the grating and substantially enhance several phenomena such as low reflection, low transmission, and high absorption of the electromagnetic radiation. A high degree of energy confinement is obtained, especially when the energy is stored almost exclusively on the far side of the grating, away from the incident radiation. It is numerically shown that this phenomenon originates from the interaction of field modes with the collective motion of free electrons, as considered in the Drude model.

© 2012 Optical Society of America

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2012 (1)

2011 (2)

2010 (5)

X.-R. Huang, R.-W. Peng, and R.-H. Fan, Phys. Rev. Lett. 105, 243901 (2010).
[CrossRef]

R. Ameling, L. Langguth, M. Hentschel, M. Mesch, P. V. Braun, and H. Giessen, Appl. Phys. Lett. 97, 253116 (2010).
[CrossRef]

A. Min, J. Li, G. Veronis, J.-Y. Lee, S. Fan, and P. Peumans, Appl. Phys. Lett. 96, 133302 (2010).
[CrossRef]

A. Roszkiewicz and W. Nasalski, J. Phys. B 43, 185401 (2010).
[CrossRef]

P. R. West, S. Ishii, G. V. Naik, N. K. Emani, V. M. Shalaev, and A. Boltasseva, Laser Photon. Rev. 4, 795 (2010).
[CrossRef]

2008 (2)

N. Bonod, G. Tayeb, D. Maystre, S. Enoch, and E. Popov, Opt. Express 16, 15431 (2008).
[CrossRef]

E. Laux, C. Genet, T. Skauli, and T. W. Ebbesen, Nat. Photon. 2, 161 (2008).
[CrossRef]

2007 (1)

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, Phys. Rev. B 76, 201405R (2007).
[CrossRef]

2006 (1)

Z. Yu, G. Veronis, S. Fan, and M. L. Brongersma, Appl. Phys. Lett. 89, 151116 (2006).
[CrossRef]

2000 (1)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef]

1998 (2)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

1996 (1)

1995 (1)

1972 (1)

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Ameling, R.

R. Ameling, D. Dregely, and H. Giessen, Opt. Lett. 36, 2218 (2011).
[CrossRef]

R. Ameling, L. Langguth, M. Hentschel, M. Mesch, P. V. Braun, and H. Giessen, Appl. Phys. Lett. 97, 253116 (2010).
[CrossRef]

Boltasseva, A.

P. R. West, S. Ishii, G. V. Naik, N. K. Emani, V. M. Shalaev, and A. Boltasseva, Laser Photon. Rev. 4, 795 (2010).
[CrossRef]

Bonod, N.

Braun, P. V.

R. Ameling, L. Langguth, M. Hentschel, M. Mesch, P. V. Braun, and H. Giessen, Appl. Phys. Lett. 97, 253116 (2010).
[CrossRef]

Brongersma, M. L.

Z. Yu, G. Veronis, S. Fan, and M. L. Brongersma, Appl. Phys. Lett. 89, 151116 (2006).
[CrossRef]

Christ, A.

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, Phys. Rev. B 76, 201405R (2007).
[CrossRef]

Christy, R. W.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Deych, L.

Di Martino, G.

Dregely, D.

Ebbesen, T. W.

E. Laux, C. Genet, T. Skauli, and T. W. Ebbesen, Nat. Photon. 2, 161 (2008).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Ekinci, Y.

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, Phys. Rev. B 76, 201405R (2007).
[CrossRef]

Emani, N. K.

P. R. West, S. Ishii, G. V. Naik, N. K. Emani, V. M. Shalaev, and A. Boltasseva, Laser Photon. Rev. 4, 795 (2010).
[CrossRef]

Enoch, S.

Fan, R.-H.

X.-R. Huang, R.-W. Peng, and R.-H. Fan, Phys. Rev. Lett. 105, 243901 (2010).
[CrossRef]

Fan, S.

A. Min, J. Li, G. Veronis, J.-Y. Lee, S. Fan, and P. Peumans, Appl. Phys. Lett. 96, 133302 (2010).
[CrossRef]

Z. Yu, G. Veronis, S. Fan, and M. L. Brongersma, Appl. Phys. Lett. 89, 151116 (2006).
[CrossRef]

Gaylord, T. K.

Genet, C.

E. Laux, C. Genet, T. Skauli, and T. W. Ebbesen, Nat. Photon. 2, 161 (2008).
[CrossRef]

Ghaemi, H. F.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Giessen, H.

R. Ameling, D. Dregely, and H. Giessen, Opt. Lett. 36, 2218 (2011).
[CrossRef]

R. Ameling, L. Langguth, M. Hentschel, M. Mesch, P. V. Braun, and H. Giessen, Appl. Phys. Lett. 97, 253116 (2010).
[CrossRef]

Gippius, N. A.

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, Phys. Rev. B 76, 201405R (2007).
[CrossRef]

Grann, E. B.

Hentschel, M.

R. Ameling, L. Langguth, M. Hentschel, M. Mesch, P. V. Braun, and H. Giessen, Appl. Phys. Lett. 97, 253116 (2010).
[CrossRef]

Huang, X.-R.

X.-R. Huang, R.-W. Peng, and R.-H. Fan, Phys. Rev. Lett. 105, 243901 (2010).
[CrossRef]

Husaini, S.

Ishii, S.

P. R. West, S. Ishii, G. V. Naik, N. K. Emani, V. M. Shalaev, and A. Boltasseva, Laser Photon. Rev. 4, 795 (2010).
[CrossRef]

Johnson, P. B.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Kerman, S.

Langguth, L.

R. Ameling, L. Langguth, M. Hentschel, M. Mesch, P. V. Braun, and H. Giessen, Appl. Phys. Lett. 97, 253116 (2010).
[CrossRef]

Laux, E.

E. Laux, C. Genet, T. Skauli, and T. W. Ebbesen, Nat. Photon. 2, 161 (2008).
[CrossRef]

Lee, J.-Y.

A. Min, J. Li, G. Veronis, J.-Y. Lee, S. Fan, and P. Peumans, Appl. Phys. Lett. 96, 133302 (2010).
[CrossRef]

Lei, D. Y.

Lezec, H. J.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Li, J.

A. Min, J. Li, G. Veronis, J.-Y. Lee, S. Fan, and P. Peumans, Appl. Phys. Lett. 96, 133302 (2010).
[CrossRef]

Li, L.

Maier, S. A.

Y. Sonnefraud, S. Kerman, G. Di Martino, D. Y. Lei, and S. A. Maier, Opt. Express 20, 4893 (2012).
[CrossRef]

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

Martin, O. J. F.

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, Phys. Rev. B 76, 201405R (2007).
[CrossRef]

Maystre, D.

Menon, V. M.

Mesch, M.

R. Ameling, L. Langguth, M. Hentschel, M. Mesch, P. V. Braun, and H. Giessen, Appl. Phys. Lett. 97, 253116 (2010).
[CrossRef]

Min, A.

A. Min, J. Li, G. Veronis, J.-Y. Lee, S. Fan, and P. Peumans, Appl. Phys. Lett. 96, 133302 (2010).
[CrossRef]

Moharam, M. G.

Naik, G. V.

P. R. West, S. Ishii, G. V. Naik, N. K. Emani, V. M. Shalaev, and A. Boltasseva, Laser Photon. Rev. 4, 795 (2010).
[CrossRef]

Nasalski, W.

A. Roszkiewicz and W. Nasalski, J. Phys. B 43, 185401 (2010).
[CrossRef]

Pendry, J. B.

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef]

Peng, R.-W.

X.-R. Huang, R.-W. Peng, and R.-H. Fan, Phys. Rev. Lett. 105, 243901 (2010).
[CrossRef]

Peumans, P.

A. Min, J. Li, G. Veronis, J.-Y. Lee, S. Fan, and P. Peumans, Appl. Phys. Lett. 96, 133302 (2010).
[CrossRef]

Pommet, D. A.

Popov, E.

Roszkiewicz, A.

A. Roszkiewicz and W. Nasalski, J. Phys. B 43, 185401 (2010).
[CrossRef]

Shalaev, V. M.

P. R. West, S. Ishii, G. V. Naik, N. K. Emani, V. M. Shalaev, and A. Boltasseva, Laser Photon. Rev. 4, 795 (2010).
[CrossRef]

Skauli, T.

E. Laux, C. Genet, T. Skauli, and T. W. Ebbesen, Nat. Photon. 2, 161 (2008).
[CrossRef]

Solak, H. H.

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, Phys. Rev. B 76, 201405R (2007).
[CrossRef]

Sonnefraud, Y.

Tayeb, G.

Thio, T.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Tikhodeev, S. G.

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, Phys. Rev. B 76, 201405R (2007).
[CrossRef]

Veronis, G.

A. Min, J. Li, G. Veronis, J.-Y. Lee, S. Fan, and P. Peumans, Appl. Phys. Lett. 96, 133302 (2010).
[CrossRef]

Z. Yu, G. Veronis, S. Fan, and M. L. Brongersma, Appl. Phys. Lett. 89, 151116 (2006).
[CrossRef]

West, P. R.

P. R. West, S. Ishii, G. V. Naik, N. K. Emani, V. M. Shalaev, and A. Boltasseva, Laser Photon. Rev. 4, 795 (2010).
[CrossRef]

Wolff, P. A.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Yu, Z.

Z. Yu, G. Veronis, S. Fan, and M. L. Brongersma, Appl. Phys. Lett. 89, 151116 (2006).
[CrossRef]

Appl. Phys. Lett. (3)

R. Ameling, L. Langguth, M. Hentschel, M. Mesch, P. V. Braun, and H. Giessen, Appl. Phys. Lett. 97, 253116 (2010).
[CrossRef]

A. Min, J. Li, G. Veronis, J.-Y. Lee, S. Fan, and P. Peumans, Appl. Phys. Lett. 96, 133302 (2010).
[CrossRef]

Z. Yu, G. Veronis, S. Fan, and M. L. Brongersma, Appl. Phys. Lett. 89, 151116 (2006).
[CrossRef]

J. Opt. Soc. Am. A (2)

J. Phys. B (1)

A. Roszkiewicz and W. Nasalski, J. Phys. B 43, 185401 (2010).
[CrossRef]

Laser Photon. Rev. (1)

P. R. West, S. Ishii, G. V. Naik, N. K. Emani, V. M. Shalaev, and A. Boltasseva, Laser Photon. Rev. 4, 795 (2010).
[CrossRef]

Nat. Photon. (1)

E. Laux, C. Genet, T. Skauli, and T. W. Ebbesen, Nat. Photon. 2, 161 (2008).
[CrossRef]

Nature (2)

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, Nature 391, 667 (1998).
[CrossRef]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. B (2)

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, Phys. Rev. B 76, 201405R (2007).
[CrossRef]

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Phys. Rev. Lett. (2)

J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef]

X.-R. Huang, R.-W. Peng, and R.-H. Fan, Phys. Rev. Lett. 105, 243901 (2010).
[CrossRef]

Other (1)

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

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Figures (5)

Fig. 1.
Fig. 1.

(a) The analyzed configuration. Coupling mechanisms in a thin 1D metal grating with high filling factor for TM polarization: red arrow, cavity mode; blue arrows, surface plasmon polaritons at upper and lower interface; green arrow, coupling through the metal. (b) Absorption spectra versus incident frequency for gratings with different filling factors f and thicknesses d corresponding to absorption maximum in each case: 1: f=0.94, d=47.5nm; 2: f=0.90, d=40.5nm; 3: f=0.86, d=34nm. Solid curves, RCWA simulations; dotted curves, corresponding Drude model.

Fig. 2.
Fig. 2.

The absorption spectrum plotted as a function of incident frequency and grating thickness for f=0.94. Dashed line: The emergence of +/1 diffractive orders; dotted lines: 1st and 2nd cavity modes for a cavity with Leff=d+40nm; solid lines: lower- and higher-energy SPP modes of the structure.

Fig. 3.
Fig. 3.

The absorption spectrum plotted as a function of incident frequency and in-plane wavevector for f=0.94 and d=47.5nm. Horizontal line denotes the first cavity resonance for slits of effective length Leff=d+40nm.

Fig. 4.
Fig. 4.

Reflection (R), transmission (T), and absorption (A) spectra for f=0.94 around the coupling point for: (a) d=37nm, (b) d=47.5nm, and (c) d=59nm. Solid lines, RCWA simulations; dotted lines, Drude model.

Fig. 5.
Fig. 5.

Real part of z component of normalized Poynting vector and electric field intensity for f=0.94. (a) Low-energy SPP (ω/ωp=0.31, d=30.5nm), (b) crossing point (ω/ωp=0.3207, d=47.5nm), and (c) first-order CM (ω/ωp=0.31, d=60nm).

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