Abstract

The enhancement of light transmittance through periodically relief thin absorptive film at surface plasmon polariton excitation conditions, as a function of relief interrelation, was considered theoretically. Our calculation of transmittance–reflectance through periodically relief thin absorptive film was performed in the framework of differential formalism. There are two basic relief interrelation forms, namely, correlated and anticorrelated ones. The obtained spectral and angular dependencies demonstrate an essential increase of surface plasmon polariton peaks in the case of anticorrelated corrugation of film in comparison with the correlated ones.

© 2008 Optical Society of America

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

2007 (1)

C. Genet and T. W. Ebbesen, Nature 445, 39 (2007).
[CrossRef] [PubMed]

2006 (2)

M. M. Dvoynenko, I. I. Samoylenko, and J.-K. Wang, J. Opt. Soc. Am. A 23, 2315 (2006).
[CrossRef]

A. Ye. Poyedinchuk, Yu. A. Tuchkin, N. P. Yashina, J. Chandezon, and G. Granet, Prog. Electromagn. Res. 59, 113 (2006).
[CrossRef]

2004 (2)

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

Y.-H. Ye and J.-Y. Zhang, Appl. Phys. Lett. 84, 2977 (2004).
[CrossRef]

2003 (3)

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

A. V. Klychnik, S. U. Kurganov, and U. E. Lozovik, Phys. Solid State 45, 1327 (2003).
[CrossRef]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

1999 (1)

U. Schroter and D. Heitmann, Phys. Rev. B 60, 4992 (1999).
[CrossRef]

1998 (1)

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

1988 (1)

T. C. Paulick, J. Appl. Phys. 64, 1384 (1988).
[CrossRef]

1985 (1)

R. Dragila, B. Luther-Davies, and S. Vukovic, Phys. Rev. Lett. 55, 1117 (1985).
[CrossRef] [PubMed]

1972 (1)

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

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Chandezon, J.

A. Ye. Poyedinchuk, Yu. A. Tuchkin, N. P. Yashina, J. Chandezon, and G. Granet, Prog. Electromagn. Res. 59, 113 (2006).
[CrossRef]

Christy, R. W.

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

de Fornel, F.

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

Degiron, A.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

Dragila, R.

R. Dragila, B. Luther-Davies, and S. Vukovic, Phys. Rev. Lett. 55, 1117 (1985).
[CrossRef] [PubMed]

Dvoynenko, M. M.

Ebbesen, T. W.

C. Genet and T. W. Ebbesen, Nature 445, 39 (2007).
[CrossRef] [PubMed]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

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

Garcia-Vidal, F. J.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

Genet, C.

C. Genet and T. W. Ebbesen, Nature 445, 39 (2007).
[CrossRef] [PubMed]

Gerard, D.

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

Ghaemi, H. F.

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

Granet, G.

A. Ye. Poyedinchuk, Yu. A. Tuchkin, N. P. Yashina, J. Chandezon, and G. Granet, Prog. Electromagn. Res. 59, 113 (2006).
[CrossRef]

Heitmann, D.

U. Schroter and D. Heitmann, Phys. Rev. B 60, 4992 (1999).
[CrossRef]

Johnson, P. B.

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

Klychnik, A. V.

A. V. Klychnik, S. U. Kurganov, and U. E. Lozovik, Phys. Solid State 45, 1327 (2003).
[CrossRef]

Kurganov, S. U.

A. V. Klychnik, S. U. Kurganov, and U. E. Lozovik, Phys. Solid State 45, 1327 (2003).
[CrossRef]

Lezec, H. J.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

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

Lozovik, U. E.

A. V. Klychnik, S. U. Kurganov, and U. E. Lozovik, Phys. Solid State 45, 1327 (2003).
[CrossRef]

Luther-Davies, B.

R. Dragila, B. Luther-Davies, and S. Vukovic, Phys. Rev. Lett. 55, 1117 (1985).
[CrossRef] [PubMed]

Martin-Moreno, L.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

Paulick, T. C.

T. C. Paulick, J. Appl. Phys. 64, 1384 (1988).
[CrossRef]

Poyedinchuk, A. Ye.

A. Ye. Poyedinchuk, Yu. A. Tuchkin, N. P. Yashina, J. Chandezon, and G. Granet, Prog. Electromagn. Res. 59, 113 (2006).
[CrossRef]

Salomon, L.

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

Samoylenko, I. I.

Schroter, U.

U. Schroter and D. Heitmann, Phys. Rev. B 60, 4992 (1999).
[CrossRef]

Thio, T.

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

Tuchkin, Yu. A.

A. Ye. Poyedinchuk, Yu. A. Tuchkin, N. P. Yashina, J. Chandezon, and G. Granet, Prog. Electromagn. Res. 59, 113 (2006).
[CrossRef]

Vukovic, S.

R. Dragila, B. Luther-Davies, and S. Vukovic, Phys. Rev. Lett. 55, 1117 (1985).
[CrossRef] [PubMed]

Wang, J.-K.

Wolf, P. A.

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

Yashina, N. P.

A. Ye. Poyedinchuk, Yu. A. Tuchkin, N. P. Yashina, J. Chandezon, and G. Granet, Prog. Electromagn. Res. 59, 113 (2006).
[CrossRef]

Ye, Y.-H.

Y.-H. Ye and J.-Y. Zhang, Appl. Phys. Lett. 84, 2977 (2004).
[CrossRef]

Zayats, A. V.

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

Zhang, J.-Y.

Y.-H. Ye and J.-Y. Zhang, Appl. Phys. Lett. 84, 2977 (2004).
[CrossRef]

Appl. Phys. Lett. (1)

Y.-H. Ye and J.-Y. Zhang, Appl. Phys. Lett. 84, 2977 (2004).
[CrossRef]

J. Appl. Phys. (1)

T. C. Paulick, J. Appl. Phys. 64, 1384 (1988).
[CrossRef]

J. Opt. Soc. Am. A (1)

Nature (2)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, Nature 424, 824 (2003).
[CrossRef] [PubMed]

C. Genet and T. W. Ebbesen, Nature 445, 39 (2007).
[CrossRef] [PubMed]

Nature (London) (1)

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

Phys. Rev. B (3)

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

U. Schroter and D. Heitmann, Phys. Rev. B 60, 4992 (1999).
[CrossRef]

D. Gerard, L. Salomon, F. de Fornel, and A. V. Zayats, Phys. Rev. B 69, 113405 (2004).
[CrossRef]

Phys. Rev. Lett. (2)

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, A. Degiron, and T. W. Ebbesen, Phys. Rev. Lett. 90, 167401 (2003).
[CrossRef] [PubMed]

R. Dragila, B. Luther-Davies, and S. Vukovic, Phys. Rev. Lett. 55, 1117 (1985).
[CrossRef] [PubMed]

Phys. Solid State (1)

A. V. Klychnik, S. U. Kurganov, and U. E. Lozovik, Phys. Solid State 45, 1327 (2003).
[CrossRef]

Prog. Electromagn. Res. (1)

A. Ye. Poyedinchuk, Yu. A. Tuchkin, N. P. Yashina, J. Chandezon, and G. Granet, Prog. Electromagn. Res. 59, 113 (2006).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Sketch of two cases of correlated (a) and anti-correlated (b) thin absorptive film. Here x ̂ , y ̂ , and z ̂ are Cartesian unit vectors.

Fig. 2
Fig. 2

Angular for 695 nm incident wave (a) and spectral for 10 ° incidence angle (b) dependencies of full transmittance through Au film with 100 nm thickness on the glass for the cases: correlated (dot), anti-correlated (dash) and flat (solid) film interfaces with the 50 nm relief depth. In insets: corresponding dependencies for reflectance of Au film on a glass.

Fig. 3
Fig. 3

Space distribution of the Poynting’s vector component, S z , in the case of correlated (top) and anti-correlated (bottom) films for the 10 ° angle of incidence at λ = 695 nm . Black, gray, and white colors (blue, green, and red online, respectively) correspond to minimum, zero and maximum values of S z , respectively. Other parameters are same as in Fig. 2.

Equations (8)

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x ¯ 1 = x 1 = x ,
x ¯ 2 = x 2 = y ,
x ¯ 3 + ξ ¯ ( x , y ) = x 3 + ξ ( x , y ) = z .
Ψ ̂ n ( ρ , x 3 ) = σ , m , m e i ( κ i + G m ) ρ M n κ i + G m , x 3 m m , σ c ̂ n , m σ ,
M n κ , x 3 m , σ [ z ̂ × ( κ κ ) κ G m k n ( κ ) 2 ( κ κ ) σ k n ( κ ) ε n κ G m k n ( κ ) 2 ( κ κ ) σ k n ( κ ) ε n z ̂ × ( κ κ ) ] × Λ m ( σ k n ( κ ) ) e i σ k n ( κ ) ( x 3 z n 1 ) ,
Ψ ̂ 2 ( ρ , z 1 ) = Ψ ̂ 1 ( ρ , z 1 ) , Ψ ¯ ̂ 3 ( ρ , z 2 ) = Ψ ¯ ̂ 2 ( ρ , z 2 ) .
σ , m ( M 2 κ i + G m , z 1 m m , σ c ̂ 2 , m σ M 1 κ i + G m , z 1 m m , ( ) c ̂ 1 , m ( ) ) = M 1 κ i , z 1 m , ( + ) [ cos θ α sin θ α ] ,
σ , m ( M ¯ 3 κ i + G m , z 2 m m , ( + ) c ̂ 3 , m ( + ) M ¯ 2 κ i + G m , z 2 m m , σ c ̂ 2 , m σ ) = 0 ,

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