Abstract

Resonant transmission through metallic films is observed when a periodic array of holes is drilled. This phenomenon has been attributed to surface plasmon polaritons. We study a similar system made of an array of slits in a SiC film supporting surface phonon polaritons. We find a resonant transmission in the infrared. The role of surface waves is analyzed. We find that surface waves are excited at resonance but are not a necessary condition to obtain a resonant transmission.

© 2004 Optical Society of America

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2004 (1)

F. Marquier, K. Joulain, J. P. Mulet, R. Carminati, J.-J. Greffet, and Y. Chen, Phys. Rev. B 69, 155412 (2004).
[CrossRef]

2003 (4)

P. N. Stravinou and L. Solymar, Phys. Rev. E 68, 066604 (2003).
[CrossRef]

F. I. Baida and D. Van Labeke, Phys. Rev. B 67, 155314 (2003).
[CrossRef]

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

T. Dekorsy, V. A. Yakovlev, W. Seidel, M. Helm, and F. Keilmann, Phys. Rev. Lett. 90, 055508 (2003).
[CrossRef]

2002 (8)

R. Hillenbrand, T. Taubner, and F. Keilmann, Nature 418, 159 (2002).
[CrossRef] [PubMed]

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Q. Cao and P. Lalanne, Phys. Rev. Lett. 88, 57403 (2002).
[CrossRef]

M. M. J. Treacy, Phys. Rev. B 66, 195105 (2002).
[CrossRef]

F. I. Baida and D. van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

A. Barbara, P. Quémerais, E. Bustarret, and T. Lopez-Rios, Phys. Rev. B 66, 161403 (2002).
[CrossRef]

S. Collin, F. Pardo, R. Tessier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

P. N. Stravinou and L. Solymar, Opt. Commun. 206, 217 (2002).
[CrossRef]

2001 (2)

L. Salomon, F. Grillot, A. V. Zayats, and F. de Fornel, Phys. Rev. Lett. 86, 1110 (2001).
[CrossRef] [PubMed]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

2000 (3)

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, Phys. Rev. B 62, 16100 (2000).
[CrossRef]

T. Thio, H. J. Lezec, and T. W. Ebbesen, Physica B 279, 90 (2000).
[CrossRef]

A. V. Shchegrov, K. Joulain, R. Carminati, and J.-J. Greffet, Phys. Rev. Lett. 85, 1548 (2000).
[CrossRef] [PubMed]

1999 (2)

T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, J. Opt. Soc. Am. B 16, 1743 (1999).
[CrossRef]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, Phys. Rev. Lett. 83, 2845 (1999).
[CrossRef]

1998 (3)

U. Schröter and D. Heitmann, Phys. Rev. B 58, 15419 (1998).
[CrossRef]

R. Sambles, Nature 391, 641 (1998).
[CrossRef]

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

1997 (1)

J. Le Gall, M. Olivier, and J. J. Greffet, Phys. Rev. B 55, 10105 (1997).
[CrossRef]

1994 (1)

Ahn, Y. H.

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

Baida, F. I.

F. I. Baida and D. Van Labeke, Phys. Rev. B 67, 155314 (2003).
[CrossRef]

F. I. Baida and D. van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

Barbara, A.

A. Barbara, P. Quémerais, E. Bustarret, and T. Lopez-Rios, Phys. Rev. B 66, 161403 (2002).
[CrossRef]

Bustarret, E.

A. Barbara, P. Quémerais, E. Bustarret, and T. Lopez-Rios, Phys. Rev. B 66, 161403 (2002).
[CrossRef]

Cao, Q.

Q. Cao and P. Lalanne, Phys. Rev. Lett. 88, 57403 (2002).
[CrossRef]

Carminati, R.

F. Marquier, K. Joulain, J. P. Mulet, R. Carminati, J.-J. Greffet, and Y. Chen, Phys. Rev. B 69, 155412 (2004).
[CrossRef]

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

A. V. Shchegrov, K. Joulain, R. Carminati, and J.-J. Greffet, Phys. Rev. Lett. 85, 1548 (2000).
[CrossRef] [PubMed]

Chateau, N.

Chen, Y.

F. Marquier, K. Joulain, J. P. Mulet, R. Carminati, J.-J. Greffet, and Y. Chen, Phys. Rev. B 69, 155412 (2004).
[CrossRef]

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Collin, S.

S. Collin, F. Pardo, R. Tessier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

de Fornel, F.

L. Salomon, F. Grillot, A. V. Zayats, and F. de Fornel, Phys. Rev. Lett. 86, 1110 (2001).
[CrossRef] [PubMed]

Dekorsy, T.

T. Dekorsy, V. A. Yakovlev, W. Seidel, M. Helm, and F. Keilmann, Phys. Rev. Lett. 90, 055508 (2003).
[CrossRef]

Ebbesen, T. W.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

T. Thio, H. J. Lezec, and T. W. Ebbesen, Physica B 279, 90 (2000).
[CrossRef]

T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, J. Opt. Soc. Am. B 16, 1743 (1999).
[CrossRef]

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

Enoch, S.

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, Phys. Rev. B 62, 16100 (2000).
[CrossRef]

Garcia-Vidal, F. J.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, Phys. Rev. Lett. 83, 2845 (1999).
[CrossRef]

Ghaemi, H. F.

T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, J. Opt. Soc. Am. B 16, 1743 (1999).
[CrossRef]

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

Greffet, J. J.

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

J. Le Gall, M. Olivier, and J. J. Greffet, Phys. Rev. B 55, 10105 (1997).
[CrossRef]

Greffet, J.-J.

F. Marquier, K. Joulain, J. P. Mulet, R. Carminati, J.-J. Greffet, and Y. Chen, Phys. Rev. B 69, 155412 (2004).
[CrossRef]

A. V. Shchegrov, K. Joulain, R. Carminati, and J.-J. Greffet, Phys. Rev. Lett. 85, 1548 (2000).
[CrossRef] [PubMed]

Grillot, F.

L. Salomon, F. Grillot, A. V. Zayats, and F. de Fornel, Phys. Rev. Lett. 86, 1110 (2001).
[CrossRef] [PubMed]

Heitmann, D.

U. Schröter and D. Heitmann, Phys. Rev. B 58, 15419 (1998).
[CrossRef]

Helm, M.

T. Dekorsy, V. A. Yakovlev, W. Seidel, M. Helm, and F. Keilmann, Phys. Rev. Lett. 90, 055508 (2003).
[CrossRef]

Hillenbrand, R.

R. Hillenbrand, T. Taubner, and F. Keilmann, Nature 418, 159 (2002).
[CrossRef] [PubMed]

Hohng, S. C.

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

Hugonin, J. P.

Joulain, K.

F. Marquier, K. Joulain, J. P. Mulet, R. Carminati, J.-J. Greffet, and Y. Chen, Phys. Rev. B 69, 155412 (2004).
[CrossRef]

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

A. V. Shchegrov, K. Joulain, R. Carminati, and J.-J. Greffet, Phys. Rev. Lett. 85, 1548 (2000).
[CrossRef] [PubMed]

Keilmann, F.

T. Dekorsy, V. A. Yakovlev, W. Seidel, M. Helm, and F. Keilmann, Phys. Rev. Lett. 90, 055508 (2003).
[CrossRef]

R. Hillenbrand, T. Taubner, and F. Keilmann, Nature 418, 159 (2002).
[CrossRef] [PubMed]

Kim, D. S.

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

Kim, J.

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

Lalanne, P.

Q. Cao and P. Lalanne, Phys. Rev. Lett. 88, 57403 (2002).
[CrossRef]

Le Gall, J.

J. Le Gall, M. Olivier, and J. J. Greffet, Phys. Rev. B 55, 10105 (1997).
[CrossRef]

Lezec, H. J.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

T. Thio, H. J. Lezec, and T. W. Ebbesen, Physica B 279, 90 (2000).
[CrossRef]

T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, J. Opt. Soc. Am. B 16, 1743 (1999).
[CrossRef]

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

Lienau, C.

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

Lopez-Rios, T.

A. Barbara, P. Quémerais, E. Bustarret, and T. Lopez-Rios, Phys. Rev. B 66, 161403 (2002).
[CrossRef]

Mainguy, S.

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Malyarchuk, V.

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

Marquier, F.

F. Marquier, K. Joulain, J. P. Mulet, R. Carminati, J.-J. Greffet, and Y. Chen, Phys. Rev. B 69, 155412 (2004).
[CrossRef]

Martin-Moreno, L.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

Mulet, J. P.

F. Marquier, K. Joulain, J. P. Mulet, R. Carminati, J.-J. Greffet, and Y. Chen, Phys. Rev. B 69, 155412 (2004).
[CrossRef]

J. J. Greffet, R. Carminati, K. Joulain, J. P. Mulet, S. Mainguy, and Y. Chen, Nature 416, 61 (2002).
[CrossRef] [PubMed]

Neviere, M.

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, Phys. Rev. B 62, 16100 (2000).
[CrossRef]

Olivier, M.

J. Le Gall, M. Olivier, and J. J. Greffet, Phys. Rev. B 55, 10105 (1997).
[CrossRef]

Pardo, F.

S. Collin, F. Pardo, R. Tessier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

Park, J. W.

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

Park, Q. H.

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

Pellerin, K. M.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

Pelouard, J. L.

S. Collin, F. Pardo, R. Tessier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

Pendry, J. B.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, Phys. Rev. Lett. 83, 2845 (1999).
[CrossRef]

Popov, E.

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, Phys. Rev. B 62, 16100 (2000).
[CrossRef]

Porto, J. A.

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, Phys. Rev. Lett. 83, 2845 (1999).
[CrossRef]

Quémerais, P.

A. Barbara, P. Quémerais, E. Bustarret, and T. Lopez-Rios, Phys. Rev. B 66, 161403 (2002).
[CrossRef]

Raether, H.

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, Berlin, 1988).

Reinisch, R.

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, Phys. Rev. B 62, 16100 (2000).
[CrossRef]

Salomon, L.

L. Salomon, F. Grillot, A. V. Zayats, and F. de Fornel, Phys. Rev. Lett. 86, 1110 (2001).
[CrossRef] [PubMed]

Sambles, R.

R. Sambles, Nature 391, 641 (1998).
[CrossRef]

Schröter, U.

U. Schröter and D. Heitmann, Phys. Rev. B 58, 15419 (1998).
[CrossRef]

Seidel, W.

T. Dekorsy, V. A. Yakovlev, W. Seidel, M. Helm, and F. Keilmann, Phys. Rev. Lett. 90, 055508 (2003).
[CrossRef]

Shchegrov, A. V.

A. V. Shchegrov, K. Joulain, R. Carminati, and J.-J. Greffet, Phys. Rev. Lett. 85, 1548 (2000).
[CrossRef] [PubMed]

Solymar, L.

P. N. Stravinou and L. Solymar, Phys. Rev. E 68, 066604 (2003).
[CrossRef]

P. N. Stravinou and L. Solymar, Opt. Commun. 206, 217 (2002).
[CrossRef]

Stravinou, P. N.

P. N. Stravinou and L. Solymar, Phys. Rev. E 68, 066604 (2003).
[CrossRef]

P. N. Stravinou and L. Solymar, Opt. Commun. 206, 217 (2002).
[CrossRef]

Taubner, T.

R. Hillenbrand, T. Taubner, and F. Keilmann, Nature 418, 159 (2002).
[CrossRef] [PubMed]

Tessier, R.

S. Collin, F. Pardo, R. Tessier, and J. L. Pelouard, J. Opt. A Pure Appl. Opt. 4, S154 (2002).
[CrossRef]

Thio, T.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001).
[CrossRef]

T. Thio, H. J. Lezec, and T. W. Ebbesen, Physica B 279, 90 (2000).
[CrossRef]

T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, J. Opt. Soc. Am. B 16, 1743 (1999).
[CrossRef]

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

Treacy, M. M. J.

M. M. J. Treacy, Phys. Rev. B 66, 195105 (2002).
[CrossRef]

Van Labeke, D.

F. I. Baida and D. Van Labeke, Phys. Rev. B 67, 155314 (2003).
[CrossRef]

F. I. Baida and D. van Labeke, Opt. Commun. 209, 17 (2002).
[CrossRef]

Wolff, P. A.

T. Thio, H. F. Ghaemi, H. J. Lezec, P. A. Wolff, and T. W. Ebbesen, J. Opt. Soc. Am. B 16, 1743 (1999).
[CrossRef]

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

Yakovlev, V. A.

T. Dekorsy, V. A. Yakovlev, W. Seidel, M. Helm, and F. Keilmann, Phys. Rev. Lett. 90, 055508 (2003).
[CrossRef]

Yee, K. J.

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

Yoon, Y. C.

D. S. Kim, S. C. Hohng, V. Malyarchuk, Y. C. Yoon, Y. H. Ahn, K. J. Yee, J. W. Park, J. Kim, Q. H. Park, and C. Lienau, Phys. Rev. Lett. 91, 143901 (2003).
[CrossRef]

Zayats, A. V.

L. Salomon, F. Grillot, A. V. Zayats, and F. de Fornel, Phys. Rev. Lett. 86, 1110 (2001).
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Figures (5)

Fig. 1
Fig. 1

Zero-order transmission and absorption spectrum of a SiC grating of slits at normal incidence, period Λ=6.0 µm, fill factor F=0.9, and thickness h=3.15 µm. In addition, we show the transmission of a SiC film with the same thickness.

Fig. 2
Fig. 2

Near field of the electric field intensity in logarithmic scale of a SiC grating of slits at normal incidence, period Λ=6.0 µm, fill factor F=0.9, and (a) h=3.15 µm, (b) h=15.0 µm. The wavelength is λ=12.0 µm. The dashed vertical line is the location of the cut of Fig. 3 at x=2.61 µm.

Fig. 3
Fig. 3

Cut along the z axis of the electric field intensity for λ=12.0 µm at the coordinate x=2.61 µm. In fact, E2 is the relative intensity normalized by the incident intensity.

Fig. 4
Fig. 4

+1st evanescent reflected and transmitted orders versus wavelength of a SiC grating of slits at normal incidence, period Λ=6.0 µm, fill factor F=0.9, and thickness h=3.15 µm.

Fig. 5
Fig. 5

(a) Zero-order transmission spectrum and (b) near-field of the electric field intensity in logarithmic scale at λ=11 µm of a grating with a fictitious material, period Λ=6.0 µm, fill factor F=0.9, and thickness h=15 µm. The refractive index of this material is n=81.68+1.95. In addition, we show in (a) the transmission of a SiC film with the same thickness.

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