Abstract

The study of total light absorption due to excitation of localized surface plasmons on deep metallic crossed gratings having a sinusoidal profile with a two-dimensional periodicity shows a very strong increase in the electric field intensity, reaching 800 times the incident intensity. The region with high intensity is strongly localized at the groove top and is characterized by a volume much smaller than the diffraction limit, both in transverse direction along the grating plane, and in longitudinal direction when going away from the grating surface. The field enhancement and its localization are much more pronounced than in shallow gratings.

© 2013 Optical Society of America

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References

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  1. R. W. Wood, Phylos. Mag. 4, 396 (1902).
    [CrossRef]
  2. R. W. Wood, Phys. Rev. 48, 928 (1935).
  3. U. Fano, J. Opt. Soc. Am. 31, 213 (1941).
    [CrossRef]
  4. M. C. Hutley and D. Maystre, Opt. Commun. 19, 431 (1976).
    [CrossRef]
  5. V. Giannini, G. Vecchi, and J. Gomez Rivas, Phys. Rev. Lett. 105, 266801 (2010).
    [CrossRef]
  6. X. Cui, K. Tawa, H. Hori, and J. Nishii, Adv. Funct. Mater. 20, 546 (2010).
    [CrossRef]
  7. J.-N. Yih, Y.-M. Chu, Y.-C. Mao, W.-H. Wang, F.-C. Chien, C.-Y. Lin, K.-L. Lee, P.-K. Wei, and S.-J. Chen, Appl. Opt. 45, 1938 (2006).
    [CrossRef]
  8. G. Lozano, D. J. Louwers, S. R. K. Rodriguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. Gomez Rivas, Light Sci. Appl. 2, e66 (2013).
    [CrossRef]
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    [CrossRef]
  10. A. Wirgin and T. López-Rios, Opt. Commun. 48, 416 (1984).
    [CrossRef]
  11. N. M. B. Perney, J. J. Baumberg, M. E. Zoorob, M. D. B. Charlton, S. Mahnkopf, and C. M. Netti, Opt. Express 14, 847 (2006).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  17. F. J. Garcia-Vidal, J. Sánchez-Dehesa, A. Dechelette, E. Bustarret, T. López-Rios, T. Fournier, and B. Pannetier, J. Lightwave Technol. 17, 2191 (1999).
    [CrossRef]
  18. S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
    [CrossRef]
  19. J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
    [CrossRef]
  20. W.-C. Tan, T. W. Preist, J. R. Sambles, and N. P. Wanstall, Phys. Rev. B 59, 12661 (1999).
    [CrossRef]
  21. R. Hooper and J. R. Sambles, Phys. Rev. B 66, 205408 (2002).
    [CrossRef]
  22. E. Popov, L. Tsonev, and D. Maystre, Modelirovanie i optimizatsiia khimicheskikh protsessov 37, 379 (1990).
  23. N. Bonod, G. Tayeb, D. Maystre, S. Enoch, and E. Popov, Opt. Express 16, 15431 (2008).
    [CrossRef]
  24. E. Popov and L. Tsonev, Opt. Commun. 69, 193 (1989).
    [CrossRef]
  25. E. Popov, L. Tsonev, and D. Maystre, J. Mod. Opt. 37, 367 (1990).
    [CrossRef]
  26. R. A. Watts, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett., 79, 3978 (1997).
    [CrossRef]
  27. J. Chandezon, M. T. Dupuis, G. Cornet, and D. Maystre, J. Opt. Soc. Am. 72, 839 (1982).
    [CrossRef]
  28. L. Li and J. Chandezon, J. Opt. Soc. Am. A 13, 2247 (1996).
    [CrossRef]
  29. G. Granet, Gratings: Theory and Numeric Applications, E. Popov, ed. (Aix-Marseille University, 2012), Chap. 8.

2013 (1)

G. Lozano, D. J. Louwers, S. R. K. Rodriguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. Gomez Rivas, Light Sci. Appl. 2, e66 (2013).
[CrossRef]

2010 (2)

V. Giannini, G. Vecchi, and J. Gomez Rivas, Phys. Rev. Lett. 105, 266801 (2010).
[CrossRef]

X. Cui, K. Tawa, H. Hori, and J. Nishii, Adv. Funct. Mater. 20, 546 (2010).
[CrossRef]

2008 (1)

2007 (1)

J.-J. Greffet and C. Henkel, Physics 4, 183 (2007).

2006 (2)

2004 (2)

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[CrossRef]

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef]

2002 (1)

R. Hooper and J. R. Sambles, Phys. Rev. B 66, 205408 (2002).
[CrossRef]

1999 (2)

1998 (2)

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

T. López-Rios, D. Mendoza, F. J. Garcia-Vidal, J. Sánchez-Dehesa, and B. Pannetier, Phys. Rev. Lett. 81, 665 (1998).
[CrossRef]

1997 (1)

R. A. Watts, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett., 79, 3978 (1997).
[CrossRef]

1996 (1)

1995 (1)

R. Reinisch, E. Popov, and M. Nevière, Opt. Lett. 20, 8546 (1995).

1990 (2)

E. Popov, L. Tsonev, and D. Maystre, J. Mod. Opt. 37, 367 (1990).
[CrossRef]

E. Popov, L. Tsonev, and D. Maystre, Modelirovanie i optimizatsiia khimicheskikh protsessov 37, 379 (1990).

1989 (1)

E. Popov and L. Tsonev, Opt. Commun. 69, 193 (1989).
[CrossRef]

1984 (1)

A. Wirgin and T. López-Rios, Opt. Commun. 48, 416 (1984).
[CrossRef]

1983 (1)

R. Reinisch and M. Nevière, Phys. Rev. B 28, 1870 (1983).
[CrossRef]

1982 (1)

1980 (1)

D. A. Weitz, T. J. Gramila, A. Z. Genack, and J. I. Gersten, Phys. Rev. Lett. 45, 355 (1980).
[CrossRef]

1976 (1)

M. C. Hutley and D. Maystre, Opt. Commun. 19, 431 (1976).
[CrossRef]

1941 (1)

1935 (1)

R. W. Wood, Phys. Rev. 48, 928 (1935).

1902 (1)

R. W. Wood, Phylos. Mag. 4, 396 (1902).
[CrossRef]

Baumberg, J. J.

Bonod, N.

Bustarret, E.

Chandezon, J.

Charlton, M. D. B.

Chen, S.-J.

Chien, F.-C.

Chu, Y.-M.

Collin, S.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[CrossRef]

Cornet, G.

Cui, X.

X. Cui, K. Tawa, H. Hori, and J. Nishii, Adv. Funct. Mater. 20, 546 (2010).
[CrossRef]

Dechelette, A.

Dupuis, M. T.

Ebbesen, T. W.

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

Enoch, S.

Fano, U.

Fournier, T.

Garcia-Vidal, F. J.

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef]

F. J. Garcia-Vidal, J. Sánchez-Dehesa, A. Dechelette, E. Bustarret, T. López-Rios, T. Fournier, and B. Pannetier, J. Lightwave Technol. 17, 2191 (1999).
[CrossRef]

T. López-Rios, D. Mendoza, F. J. Garcia-Vidal, J. Sánchez-Dehesa, and B. Pannetier, Phys. Rev. Lett. 81, 665 (1998).
[CrossRef]

Genack, A. Z.

D. A. Weitz, T. J. Gramila, A. Z. Genack, and J. I. Gersten, Phys. Rev. Lett. 45, 355 (1980).
[CrossRef]

Gersten, J. I.

D. A. Weitz, T. J. Gramila, A. Z. Genack, and J. I. Gersten, Phys. Rev. Lett. 45, 355 (1980).
[CrossRef]

Ghaemi, H. F.

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

Giannini, V.

V. Giannini, G. Vecchi, and J. Gomez Rivas, Phys. Rev. Lett. 105, 266801 (2010).
[CrossRef]

Gomez Rivas, J.

G. Lozano, D. J. Louwers, S. R. K. Rodriguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. Gomez Rivas, Light Sci. Appl. 2, e66 (2013).
[CrossRef]

V. Giannini, G. Vecchi, and J. Gomez Rivas, Phys. Rev. Lett. 105, 266801 (2010).
[CrossRef]

Gramila, T. J.

D. A. Weitz, T. J. Gramila, A. Z. Genack, and J. I. Gersten, Phys. Rev. Lett. 45, 355 (1980).
[CrossRef]

Granet, G.

G. Granet, Gratings: Theory and Numeric Applications, E. Popov, ed. (Aix-Marseille University, 2012), Chap. 8.

Greffet, J.-J.

J.-J. Greffet and C. Henkel, Physics 4, 183 (2007).

Henkel, C.

J.-J. Greffet and C. Henkel, Physics 4, 183 (2007).

Hooper, R.

R. Hooper and J. R. Sambles, Phys. Rev. B 66, 205408 (2002).
[CrossRef]

Hori, H.

X. Cui, K. Tawa, H. Hori, and J. Nishii, Adv. Funct. Mater. 20, 546 (2010).
[CrossRef]

Hutley, M. C.

M. C. Hutley and D. Maystre, Opt. Commun. 19, 431 (1976).
[CrossRef]

Jansen, O. T. A.

G. Lozano, D. J. Louwers, S. R. K. Rodriguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. Gomez Rivas, Light Sci. Appl. 2, e66 (2013).
[CrossRef]

Lee, K.-L.

Lezec, H. J.

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

Li, L.

Lin, C.-Y.

López-Rios, T.

F. J. Garcia-Vidal, J. Sánchez-Dehesa, A. Dechelette, E. Bustarret, T. López-Rios, T. Fournier, and B. Pannetier, J. Lightwave Technol. 17, 2191 (1999).
[CrossRef]

T. López-Rios, D. Mendoza, F. J. Garcia-Vidal, J. Sánchez-Dehesa, and B. Pannetier, Phys. Rev. Lett. 81, 665 (1998).
[CrossRef]

A. Wirgin and T. López-Rios, Opt. Commun. 48, 416 (1984).
[CrossRef]

Louwers, D. J.

G. Lozano, D. J. Louwers, S. R. K. Rodriguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. Gomez Rivas, Light Sci. Appl. 2, e66 (2013).
[CrossRef]

Lozano, G.

G. Lozano, D. J. Louwers, S. R. K. Rodriguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. Gomez Rivas, Light Sci. Appl. 2, e66 (2013).
[CrossRef]

Mahnkopf, S.

Mao, Y.-C.

Martin-Moreno, L.

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef]

Maystre, D.

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

E. Popov, L. Tsonev, and D. Maystre, Modelirovanie i optimizatsiia khimicheskikh protsessov 37, 379 (1990).

E. Popov, L. Tsonev, and D. Maystre, J. Mod. Opt. 37, 367 (1990).
[CrossRef]

J. Chandezon, M. T. Dupuis, G. Cornet, and D. Maystre, J. Opt. Soc. Am. 72, 839 (1982).
[CrossRef]

M. C. Hutley and D. Maystre, Opt. Commun. 19, 431 (1976).
[CrossRef]

Mendoza, D.

T. López-Rios, D. Mendoza, F. J. Garcia-Vidal, J. Sánchez-Dehesa, and B. Pannetier, Phys. Rev. Lett. 81, 665 (1998).
[CrossRef]

Murai, S.

G. Lozano, D. J. Louwers, S. R. K. Rodriguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. Gomez Rivas, Light Sci. Appl. 2, e66 (2013).
[CrossRef]

Netti, C. M.

Nevière, M.

R. Reinisch, E. Popov, and M. Nevière, Opt. Lett. 20, 8546 (1995).

R. Reinisch and M. Nevière, Phys. Rev. B 28, 1870 (1983).
[CrossRef]

Nishii, J.

X. Cui, K. Tawa, H. Hori, and J. Nishii, Adv. Funct. Mater. 20, 546 (2010).
[CrossRef]

Pannetier, B.

F. J. Garcia-Vidal, J. Sánchez-Dehesa, A. Dechelette, E. Bustarret, T. López-Rios, T. Fournier, and B. Pannetier, J. Lightwave Technol. 17, 2191 (1999).
[CrossRef]

T. López-Rios, D. Mendoza, F. J. Garcia-Vidal, J. Sánchez-Dehesa, and B. Pannetier, Phys. Rev. Lett. 81, 665 (1998).
[CrossRef]

Pardo, F.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[CrossRef]

Pelouard, J. L.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[CrossRef]

Pendry, J. B.

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef]

Perney, N. M. B.

Popov, E.

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

R. Reinisch, E. Popov, and M. Nevière, Opt. Lett. 20, 8546 (1995).

E. Popov, L. Tsonev, and D. Maystre, J. Mod. Opt. 37, 367 (1990).
[CrossRef]

E. Popov, L. Tsonev, and D. Maystre, Modelirovanie i optimizatsiia khimicheskikh protsessov 37, 379 (1990).

E. Popov and L. Tsonev, Opt. Commun. 69, 193 (1989).
[CrossRef]

Preist, T. W.

W.-C. Tan, T. W. Preist, J. R. Sambles, and N. P. Wanstall, Phys. Rev. B 59, 12661 (1999).
[CrossRef]

R. A. Watts, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett., 79, 3978 (1997).
[CrossRef]

Reinisch, R.

R. Reinisch, E. Popov, and M. Nevière, Opt. Lett. 20, 8546 (1995).

R. Reinisch and M. Nevière, Phys. Rev. B 28, 1870 (1983).
[CrossRef]

Rodriguez, S. R. K.

G. Lozano, D. J. Louwers, S. R. K. Rodriguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. Gomez Rivas, Light Sci. Appl. 2, e66 (2013).
[CrossRef]

Sambles, J. R.

R. Hooper and J. R. Sambles, Phys. Rev. B 66, 205408 (2002).
[CrossRef]

W.-C. Tan, T. W. Preist, J. R. Sambles, and N. P. Wanstall, Phys. Rev. B 59, 12661 (1999).
[CrossRef]

R. A. Watts, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett., 79, 3978 (1997).
[CrossRef]

Sánchez-Dehesa, J.

F. J. Garcia-Vidal, J. Sánchez-Dehesa, A. Dechelette, E. Bustarret, T. López-Rios, T. Fournier, and B. Pannetier, J. Lightwave Technol. 17, 2191 (1999).
[CrossRef]

T. López-Rios, D. Mendoza, F. J. Garcia-Vidal, J. Sánchez-Dehesa, and B. Pannetier, Phys. Rev. Lett. 81, 665 (1998).
[CrossRef]

Tan, W.-C.

W.-C. Tan, T. W. Preist, J. R. Sambles, and N. P. Wanstall, Phys. Rev. B 59, 12661 (1999).
[CrossRef]

Tawa, K.

X. Cui, K. Tawa, H. Hori, and J. Nishii, Adv. Funct. Mater. 20, 546 (2010).
[CrossRef]

Tayeb, G.

Teissier, R.

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[CrossRef]

Thio, T.

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

Tsonev, L.

E. Popov, L. Tsonev, and D. Maystre, Modelirovanie i optimizatsiia khimicheskikh protsessov 37, 379 (1990).

E. Popov, L. Tsonev, and D. Maystre, J. Mod. Opt. 37, 367 (1990).
[CrossRef]

E. Popov and L. Tsonev, Opt. Commun. 69, 193 (1989).
[CrossRef]

Vecchi, G.

V. Giannini, G. Vecchi, and J. Gomez Rivas, Phys. Rev. Lett. 105, 266801 (2010).
[CrossRef]

Verschuuren, M. A.

G. Lozano, D. J. Louwers, S. R. K. Rodriguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. Gomez Rivas, Light Sci. Appl. 2, e66 (2013).
[CrossRef]

Wang, W.-H.

Wanstall, N. P.

W.-C. Tan, T. W. Preist, J. R. Sambles, and N. P. Wanstall, Phys. Rev. B 59, 12661 (1999).
[CrossRef]

Watts, R. A.

R. A. Watts, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett., 79, 3978 (1997).
[CrossRef]

Wei, P.-K.

Weitz, D. A.

D. A. Weitz, T. J. Gramila, A. Z. Genack, and J. I. Gersten, Phys. Rev. Lett. 45, 355 (1980).
[CrossRef]

Wirgin, A.

A. Wirgin and T. López-Rios, Opt. Commun. 48, 416 (1984).
[CrossRef]

Wolff, P. A.

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

Wood, R. W.

R. W. Wood, Phys. Rev. 48, 928 (1935).

R. W. Wood, Phylos. Mag. 4, 396 (1902).
[CrossRef]

Yih, J.-N.

Zoorob, M. E.

Adv. Funct. Mater. (1)

X. Cui, K. Tawa, H. Hori, and J. Nishii, Adv. Funct. Mater. 20, 546 (2010).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (1)

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, Appl. Phys. Lett. 85, 194 (2004).
[CrossRef]

J. Lightwave Technol. (1)

J. Mod. Opt. (1)

E. Popov, L. Tsonev, and D. Maystre, J. Mod. Opt. 37, 367 (1990).
[CrossRef]

J. Opt. Soc. Am. (2)

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

Light Sci. Appl. (1)

G. Lozano, D. J. Louwers, S. R. K. Rodriguez, S. Murai, O. T. A. Jansen, M. A. Verschuuren, and J. Gomez Rivas, Light Sci. Appl. 2, e66 (2013).
[CrossRef]

Modelirovanie i optimizatsiia khimicheskikh protsessov (1)

E. Popov, L. Tsonev, and D. Maystre, Modelirovanie i optimizatsiia khimicheskikh protsessov 37, 379 (1990).

Nature (1)

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

Opt. Commun. (3)

A. Wirgin and T. López-Rios, Opt. Commun. 48, 416 (1984).
[CrossRef]

M. C. Hutley and D. Maystre, Opt. Commun. 19, 431 (1976).
[CrossRef]

E. Popov and L. Tsonev, Opt. Commun. 69, 193 (1989).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

R. Reinisch, E. Popov, and M. Nevière, Opt. Lett. 20, 8546 (1995).

Phylos. Mag. (1)

R. W. Wood, Phylos. Mag. 4, 396 (1902).
[CrossRef]

Phys. Rev. (1)

R. W. Wood, Phys. Rev. 48, 928 (1935).

Phys. Rev. B (3)

R. Reinisch and M. Nevière, Phys. Rev. B 28, 1870 (1983).
[CrossRef]

W.-C. Tan, T. W. Preist, J. R. Sambles, and N. P. Wanstall, Phys. Rev. B 59, 12661 (1999).
[CrossRef]

R. Hooper and J. R. Sambles, Phys. Rev. B 66, 205408 (2002).
[CrossRef]

Phys. Rev. Lett. (4)

R. A. Watts, T. W. Preist, and J. R. Sambles, Phys. Rev. Lett., 79, 3978 (1997).
[CrossRef]

T. López-Rios, D. Mendoza, F. J. Garcia-Vidal, J. Sánchez-Dehesa, and B. Pannetier, Phys. Rev. Lett. 81, 665 (1998).
[CrossRef]

V. Giannini, G. Vecchi, and J. Gomez Rivas, Phys. Rev. Lett. 105, 266801 (2010).
[CrossRef]

D. A. Weitz, T. J. Gramila, A. Z. Genack, and J. I. Gersten, Phys. Rev. Lett. 45, 355 (1980).
[CrossRef]

Physics (1)

J.-J. Greffet and C. Henkel, Physics 4, 183 (2007).

Science (1)

J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, Science 305, 847 (2004).
[CrossRef]

Other (1)

G. Granet, Gratings: Theory and Numeric Applications, E. Popov, ed. (Aix-Marseille University, 2012), Chap. 8.

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Figures (6)

Fig. 1.
Fig. 1.

Reflectivity of a crossed sinusoidal grating as a function of polar incident angle and the groove depth for the two fundamental incident polarizations.

Fig. 2.
Fig. 2.

Map of the modulus of the diffracted electric field inside one grating cell along the profile in x-direction at y=d/4. Incident electric field is normalized to 1, h=0.08μm, θ=12°.

Fig. 3.
Fig. 3.

Map of the modulus of the diffracted electric field for deep grooves with h=0.3575μm and θ=8.25°. λ=0.6328 and TM polarization. (a) x-z cut and (b) y-z cut.

Fig. 4.
Fig. 4.

Map of the modulus of the diffracted electric field for deep grooves with h=0.83μm and θ=12.2°. λ=0.6328μm and TE polarization, diagonal-z cut.

Fig. 5.
Fig. 5.

Fourier decomposition of the vertical component of the electric field vector for deep (a) and shallow (b) grooves.

Fig. 6.
Fig. 6.

Decrease of the electric field amplitude with the distance from the groove top for shallow and deep grooves.

Equations (1)

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f(x,y)=h4[sin(Kx)+sin(Ky)],

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