Abstract

We study the light localization on commensurate arrangements of deep metallic sub-wavelength grooves. We theoretically show that as the degree of commensuration tends to an irrational number new light localization states are produced. These have properties close to that reported for hot spots on disordered surfaces and are not permitted for simple period gratings. Existence of these new resonances is experimentally provided in the infra-red region by reflectivity measurements performed on two commensurate samples with respectively two and three slits per period. Manipulations of these hot spots which can be controlled from far-field could be used for high sensitivity spectroscopy applications.

© 2008 Optical Society of America

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  4. A. Wirgin, A. A. Maradudin, "Resonant response of a bare metallic grating to s-polarized light," Prog. Surf. Sci. 22, 1 (1986).
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    [CrossRef]
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    [CrossRef]
  8. D. Crouse, "Numerical modeling and electromagnetic resonant modes in complex grating structures and optoelectronic device applications," IEEE Trans. Electron. Dev. 52, 2365 (2005).
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    [CrossRef]
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    [CrossRef] [PubMed]
  11. S. Gresillon, L. Aigouy, A. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest and P. Gadenne, "Experimental Observation of Localized Excitations in Random Metal-Dielectric Films," Phys. Rev. Lett 82, 4520 (1999).
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  15. G. Trambly de Lassardiere, D. Nguyen-Manh, D. Mayou, "Electronic structure of complex Hume-Rothery phases and quasicrystals in transition metal aluminides," Prog. Mater. Sci. 50, 679 (2005).
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    [CrossRef] [PubMed]
  25. P. Zhang, T. L. Haslett, C. Douketis and M. Moskovits, "Mode localization in self-affine fractal interfaces observed by near-field microscopy," Phys. Rev. B 57, 15513 (1998).
    [CrossRef]
  26. H. P. Lu, "Site-specific Raman spectroscopy and chemical dynamics of nanscale intersticial systems," J. Phys: Condens. Matter. 17, R333 (2005).
    [CrossRef]
  27. A. Barbara, P. Quemerais, E. Bustarret, T. Lopez-R?os and T. Fournier, "Electromagnetic resonances of subwavelength rectangular metallic gratings,"Eur. Phys. J. D. 23,143-154 (2003).
    [CrossRef]
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    [CrossRef]
  29. A. Barbara, J. Le Perchec, P. Quemerais and T. Lopez-R?os, "Experimental evidence of efficient cavity modes excitation in metallic gratings by attenuated total reflection," J. Appl. Phys. 98, 033705 (2005).
    [CrossRef]
  30. S. Collin, F. Pardo, R. Teissier and J-L Pelouard, "Efficient light absorption in metalsemiconductormetal nanostructures," Appl. Phys. Lett 85, 194 (2004).
    [CrossRef]
  31. C. Billaudeau, S. Collin, C. Sauvan, N. Bardou, F. Pardo and J-L Pelouard, "Angle-resolved transmission measurements through anisotropic 2D plasmonic crystals," Opt. Lett. 33, 165 (2008).
    [CrossRef] [PubMed]

2008 (2)

J. Le Perchec, P. Quemerais, A. Barbara and T. Lopez-R?os, "Why metallic surfaces with grooves a few nanometers deep and wide may strongly absorb visible light," Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef] [PubMed]

C. Billaudeau, S. Collin, C. Sauvan, N. Bardou, F. Pardo and J-L Pelouard, "Angle-resolved transmission measurements through anisotropic 2D plasmonic crystals," Opt. Lett. 33, 165 (2008).
[CrossRef] [PubMed]

2007 (1)

T. Matsui, A. Agrawal, A. Nahata and Z. V. Vardeny, "Transmission resonances through aperiodic arrays of subwavelength apertures," Nature 446,517 (2007).
[CrossRef] [PubMed]

2006 (2)

A. Hibbins, I. Hooper, M. Lockyear and R. Sambles, "Microwave transmission of a compound metal grating," Phys. Rev. Lett. 96, 257402 (2006).
[CrossRef] [PubMed]

J. Le Perchec, P. Quemerais, A. Barbara and T. Lopez-R?os, "Controlling Strong Electromagnetic Fields at Subwavelength Scales," Phys. Rev. Lett. 97, 036405 (2006).
[CrossRef] [PubMed]

2005 (4)

D. Crouse, "Numerical modeling and electromagnetic resonant modes in complex grating structures and optoelectronic device applications," IEEE Trans. Electron. Dev. 52, 2365 (2005).
[CrossRef]

G. Trambly de Lassardiere, D. Nguyen-Manh, D. Mayou, "Electronic structure of complex Hume-Rothery phases and quasicrystals in transition metal aluminides," Prog. Mater. Sci. 50, 679 (2005).
[CrossRef]

H. P. Lu, "Site-specific Raman spectroscopy and chemical dynamics of nanscale intersticial systems," J. Phys: Condens. Matter. 17, R333 (2005).
[CrossRef]

A. Barbara, J. Le Perchec, P. Quemerais and T. Lopez-R?os, "Experimental evidence of efficient cavity modes excitation in metallic gratings by attenuated total reflection," J. Appl. Phys. 98, 033705 (2005).
[CrossRef]

2004 (1)

S. Collin, F. Pardo, R. Teissier and J-L Pelouard, "Efficient light absorption in metalsemiconductormetal nanostructures," Appl. Phys. Lett 85, 194 (2004).
[CrossRef]

2003 (1)

A. Barbara, P. Quemerais, E. Bustarret, T. Lopez-R?os and T. Fournier, "Electromagnetic resonances of subwavelength rectangular metallic gratings,"Eur. Phys. J. D. 23,143-154 (2003).
[CrossRef]

2001 (1)

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

1999 (1)

S. Gresillon, L. Aigouy, A. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest and P. Gadenne, "Experimental Observation of Localized Excitations in Random Metal-Dielectric Films," Phys. Rev. Lett 82, 4520 (1999).
[CrossRef]

1998 (3)

P. Zhang, T. L. Haslett, C. Douketis and M. Moskovits, "Mode localization in self-affine fractal interfaces observed by near-field microscopy," Phys. Rev. B 57, 15513 (1998).
[CrossRef]

M. Sobnack, W. Tan, N. Wanstall, T. Preist and R. Sambles, "Stationary surface plasmons on zero-order metal grating," Phys. Rev. Lett. 80, 5667 (1998).
[CrossRef]

T. Lopez-R?os, D. Mendoza, FJ. Garc?a-Vidal, J. Sanchez-Dehesa and B. Pannetier, "Surface shape resonances in lamellar metallic gratings," Phys. Rev. Lett. 81, 665 (1998).
[CrossRef]

1997 (1)

F. Ducastelle and P. Quemerais, "Chemical Self-Organization During Crystal Growth," Phys. Rev. Lett. 78, 102 (1997).
[CrossRef]

1995 (1)

C. Douketis, Z. Wang, T.L. Haslett and M. Moskovits, "Fractal character of cold-deposited silver films determined by low-temperature scanning tunneling microscopy," Phys. Rev. B 51, 11022-11031 (1995).
[CrossRef]

1993 (2)

C. Berger, E. Belin, D. Mayou, "Electronic properties of quasicrystals," Ann. Chimi. Mater. (Paris) 18, 485 (1993).

E. Belin and D. Mayou, "Electronic properties of quasicrystals," Phys. Scr. T49, 356 (1993).
[CrossRef]

1986 (2)

A. Hessel and A. A. Oliner, "Wood’s anomaly effects on gratings of large amplitude," Opt. Commun. 59, 327 (1986).
[CrossRef]

A. Wirgin, A. A. Maradudin, "Resonant response of a bare metallic grating to s-polarized light," Prog. Surf. Sci. 22, 1 (1986).
[CrossRef]

1984 (1)

A. Wirgin and T. Lopez-R?os, "Can surface enhanced Raman scattering be caused by waveguide resonances?," Opt. Commun. 48, 416-420 (1984) and T. Lopez-Rios and A. Wirgin Opt. Commun. 49,455 (1984).(errata)
[CrossRef]

1983 (1)

E. Albano, S. Daiser, G. Ertl, R. Miranda, K. Wandelt and N. Garcia, "Nature of surface-enhanced-Ramanscattering active sites on coldly condensed Ag films," Phys. Rev. Lett. 51, 2314-2317 (1983).
[CrossRef]

Agrawal, A.

T. Matsui, A. Agrawal, A. Nahata and Z. V. Vardeny, "Transmission resonances through aperiodic arrays of subwavelength apertures," Nature 446,517 (2007).
[CrossRef] [PubMed]

Aigouy, L.

S. Gresillon, L. Aigouy, A. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest and P. Gadenne, "Experimental Observation of Localized Excitations in Random Metal-Dielectric Films," Phys. Rev. Lett 82, 4520 (1999).
[CrossRef]

Albano, E.

E. Albano, S. Daiser, G. Ertl, R. Miranda, K. Wandelt and N. Garcia, "Nature of surface-enhanced-Ramanscattering active sites on coldly condensed Ag films," Phys. Rev. Lett. 51, 2314-2317 (1983).
[CrossRef]

Banerjee, K.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Barbara, A.

J. Le Perchec, P. Quemerais, A. Barbara and T. Lopez-R?os, "Why metallic surfaces with grooves a few nanometers deep and wide may strongly absorb visible light," Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef] [PubMed]

J. Le Perchec, P. Quemerais, A. Barbara and T. Lopez-R?os, "Controlling Strong Electromagnetic Fields at Subwavelength Scales," Phys. Rev. Lett. 97, 036405 (2006).
[CrossRef] [PubMed]

A. Barbara, J. Le Perchec, P. Quemerais and T. Lopez-R?os, "Experimental evidence of efficient cavity modes excitation in metallic gratings by attenuated total reflection," J. Appl. Phys. 98, 033705 (2005).
[CrossRef]

A. Barbara, P. Quemerais, E. Bustarret, T. Lopez-R?os and T. Fournier, "Electromagnetic resonances of subwavelength rectangular metallic gratings,"Eur. Phys. J. D. 23,143-154 (2003).
[CrossRef]

Bardou, N.

Belin, E.

E. Belin and D. Mayou, "Electronic properties of quasicrystals," Phys. Scr. T49, 356 (1993).
[CrossRef]

C. Berger, E. Belin, D. Mayou, "Electronic properties of quasicrystals," Ann. Chimi. Mater. (Paris) 18, 485 (1993).

Berger, C.

C. Berger, E. Belin, D. Mayou, "Electronic properties of quasicrystals," Ann. Chimi. Mater. (Paris) 18, 485 (1993).

Berini, B.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Billaudeau, C.

Boccara, A.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

S. Gresillon, L. Aigouy, A. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest and P. Gadenne, "Experimental Observation of Localized Excitations in Random Metal-Dielectric Films," Phys. Rev. Lett 82, 4520 (1999).
[CrossRef]

Bragg, W.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Buil, S.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Bustarret, E.

A. Barbara, P. Quemerais, E. Bustarret, T. Lopez-R?os and T. Fournier, "Electromagnetic resonances of subwavelength rectangular metallic gratings,"Eur. Phys. J. D. 23,143-154 (2003).
[CrossRef]

Collin, S.

C. Billaudeau, S. Collin, C. Sauvan, N. Bardou, F. Pardo and J-L Pelouard, "Angle-resolved transmission measurements through anisotropic 2D plasmonic crystals," Opt. Lett. 33, 165 (2008).
[CrossRef] [PubMed]

S. Collin, F. Pardo, R. Teissier and J-L Pelouard, "Efficient light absorption in metalsemiconductormetal nanostructures," Appl. Phys. Lett 85, 194 (2004).
[CrossRef]

Crouse, D.

D. Crouse, "Numerical modeling and electromagnetic resonant modes in complex grating structures and optoelectronic device applications," IEEE Trans. Electron. Dev. 52, 2365 (2005).
[CrossRef]

Daiser, S.

E. Albano, S. Daiser, G. Ertl, R. Miranda, K. Wandelt and N. Garcia, "Nature of surface-enhanced-Ramanscattering active sites on coldly condensed Ag films," Phys. Rev. Lett. 51, 2314-2317 (1983).
[CrossRef]

Desmarest, C.

S. Gresillon, L. Aigouy, A. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest and P. Gadenne, "Experimental Observation of Localized Excitations in Random Metal-Dielectric Films," Phys. Rev. Lett 82, 4520 (1999).
[CrossRef]

Douketis, C.

P. Zhang, T. L. Haslett, C. Douketis and M. Moskovits, "Mode localization in self-affine fractal interfaces observed by near-field microscopy," Phys. Rev. B 57, 15513 (1998).
[CrossRef]

C. Douketis, Z. Wang, T.L. Haslett and M. Moskovits, "Fractal character of cold-deposited silver films determined by low-temperature scanning tunneling microscopy," Phys. Rev. B 51, 11022-11031 (1995).
[CrossRef]

Drachev, V.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Ducastelle, F.

F. Ducastelle and P. Quemerais, "Chemical Self-Organization During Crystal Growth," Phys. Rev. Lett. 78, 102 (1997).
[CrossRef]

Ducourtieux, S.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Ertl, G.

E. Albano, S. Daiser, G. Ertl, R. Miranda, K. Wandelt and N. Garcia, "Nature of surface-enhanced-Ramanscattering active sites on coldly condensed Ag films," Phys. Rev. Lett. 51, 2314-2317 (1983).
[CrossRef]

Gadenne, P.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

S. Gresillon, L. Aigouy, A. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest and P. Gadenne, "Experimental Observation of Localized Excitations in Random Metal-Dielectric Films," Phys. Rev. Lett 82, 4520 (1999).
[CrossRef]

Garcia, N.

E. Albano, S. Daiser, G. Ertl, R. Miranda, K. Wandelt and N. Garcia, "Nature of surface-enhanced-Ramanscattering active sites on coldly condensed Ag films," Phys. Rev. Lett. 51, 2314-2317 (1983).
[CrossRef]

Gr’esillon, S.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

S. Gresillon, L. Aigouy, A. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest and P. Gadenne, "Experimental Observation of Localized Excitations in Random Metal-Dielectric Films," Phys. Rev. Lett 82, 4520 (1999).
[CrossRef]

Haslett, T. L.

P. Zhang, T. L. Haslett, C. Douketis and M. Moskovits, "Mode localization in self-affine fractal interfaces observed by near-field microscopy," Phys. Rev. B 57, 15513 (1998).
[CrossRef]

C. Douketis, Z. Wang, T.L. Haslett and M. Moskovits, "Fractal character of cold-deposited silver films determined by low-temperature scanning tunneling microscopy," Phys. Rev. B 51, 11022-11031 (1995).
[CrossRef]

Hessel, A.

A. Hessel and A. A. Oliner, "Wood’s anomaly effects on gratings of large amplitude," Opt. Commun. 59, 327 (1986).
[CrossRef]

Hibbins, A.

A. Hibbins, I. Hooper, M. Lockyear and R. Sambles, "Microwave transmission of a compound metal grating," Phys. Rev. Lett. 96, 257402 (2006).
[CrossRef] [PubMed]

Hooper, I.

A. Hibbins, I. Hooper, M. Lockyear and R. Sambles, "Microwave transmission of a compound metal grating," Phys. Rev. Lett. 96, 257402 (2006).
[CrossRef] [PubMed]

Le Perchec, J.

J. Le Perchec, P. Quemerais, A. Barbara and T. Lopez-R?os, "Why metallic surfaces with grooves a few nanometers deep and wide may strongly absorb visible light," Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef] [PubMed]

J. Le Perchec, P. Quemerais, A. Barbara and T. Lopez-R?os, "Controlling Strong Electromagnetic Fields at Subwavelength Scales," Phys. Rev. Lett. 97, 036405 (2006).
[CrossRef] [PubMed]

A. Barbara, J. Le Perchec, P. Quemerais and T. Lopez-R?os, "Experimental evidence of efficient cavity modes excitation in metallic gratings by attenuated total reflection," J. Appl. Phys. 98, 033705 (2005).
[CrossRef]

Lockyear, M.

A. Hibbins, I. Hooper, M. Lockyear and R. Sambles, "Microwave transmission of a compound metal grating," Phys. Rev. Lett. 96, 257402 (2006).
[CrossRef] [PubMed]

Lu, H. P.

H. P. Lu, "Site-specific Raman spectroscopy and chemical dynamics of nanscale intersticial systems," J. Phys: Condens. Matter. 17, R333 (2005).
[CrossRef]

Maradudin, A. A.

A. Wirgin, A. A. Maradudin, "Resonant response of a bare metallic grating to s-polarized light," Prog. Surf. Sci. 22, 1 (1986).
[CrossRef]

Matsui, T.

T. Matsui, A. Agrawal, A. Nahata and Z. V. Vardeny, "Transmission resonances through aperiodic arrays of subwavelength apertures," Nature 446,517 (2007).
[CrossRef] [PubMed]

Mayou, D.

G. Trambly de Lassardiere, D. Nguyen-Manh, D. Mayou, "Electronic structure of complex Hume-Rothery phases and quasicrystals in transition metal aluminides," Prog. Mater. Sci. 50, 679 (2005).
[CrossRef]

C. Berger, E. Belin, D. Mayou, "Electronic properties of quasicrystals," Ann. Chimi. Mater. (Paris) 18, 485 (1993).

E. Belin and D. Mayou, "Electronic properties of quasicrystals," Phys. Scr. T49, 356 (1993).
[CrossRef]

Miranda, R.

E. Albano, S. Daiser, G. Ertl, R. Miranda, K. Wandelt and N. Garcia, "Nature of surface-enhanced-Ramanscattering active sites on coldly condensed Ag films," Phys. Rev. Lett. 51, 2314-2317 (1983).
[CrossRef]

Moskovits, M.

P. Zhang, T. L. Haslett, C. Douketis and M. Moskovits, "Mode localization in self-affine fractal interfaces observed by near-field microscopy," Phys. Rev. B 57, 15513 (1998).
[CrossRef]

C. Douketis, Z. Wang, T.L. Haslett and M. Moskovits, "Fractal character of cold-deposited silver films determined by low-temperature scanning tunneling microscopy," Phys. Rev. B 51, 11022-11031 (1995).
[CrossRef]

Nahata, A.

T. Matsui, A. Agrawal, A. Nahata and Z. V. Vardeny, "Transmission resonances through aperiodic arrays of subwavelength apertures," Nature 446,517 (2007).
[CrossRef] [PubMed]

Nguyen-Manh, D.

G. Trambly de Lassardiere, D. Nguyen-Manh, D. Mayou, "Electronic structure of complex Hume-Rothery phases and quasicrystals in transition metal aluminides," Prog. Mater. Sci. 50, 679 (2005).
[CrossRef]

Oliner, A. A.

A. Hessel and A. A. Oliner, "Wood’s anomaly effects on gratings of large amplitude," Opt. Commun. 59, 327 (1986).
[CrossRef]

Pardo, F.

C. Billaudeau, S. Collin, C. Sauvan, N. Bardou, F. Pardo and J-L Pelouard, "Angle-resolved transmission measurements through anisotropic 2D plasmonic crystals," Opt. Lett. 33, 165 (2008).
[CrossRef] [PubMed]

S. Collin, F. Pardo, R. Teissier and J-L Pelouard, "Efficient light absorption in metalsemiconductormetal nanostructures," Appl. Phys. Lett 85, 194 (2004).
[CrossRef]

Pelouard, J-L

C. Billaudeau, S. Collin, C. Sauvan, N. Bardou, F. Pardo and J-L Pelouard, "Angle-resolved transmission measurements through anisotropic 2D plasmonic crystals," Opt. Lett. 33, 165 (2008).
[CrossRef] [PubMed]

S. Collin, F. Pardo, R. Teissier and J-L Pelouard, "Efficient light absorption in metalsemiconductormetal nanostructures," Appl. Phys. Lett 85, 194 (2004).
[CrossRef]

Podolskiy, V.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Preist, T.

M. Sobnack, W. Tan, N. Wanstall, T. Preist and R. Sambles, "Stationary surface plasmons on zero-order metal grating," Phys. Rev. Lett. 80, 5667 (1998).
[CrossRef]

Qu’emerais, P.

A. Barbara, P. Quemerais, E. Bustarret, T. Lopez-R?os and T. Fournier, "Electromagnetic resonances of subwavelength rectangular metallic gratings,"Eur. Phys. J. D. 23,143-154 (2003).
[CrossRef]

Quelin, X.

S. Gresillon, L. Aigouy, A. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest and P. Gadenne, "Experimental Observation of Localized Excitations in Random Metal-Dielectric Films," Phys. Rev. Lett 82, 4520 (1999).
[CrossRef]

Quemerais, P.

J. Le Perchec, P. Quemerais, A. Barbara and T. Lopez-R?os, "Why metallic surfaces with grooves a few nanometers deep and wide may strongly absorb visible light," Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef] [PubMed]

J. Le Perchec, P. Quemerais, A. Barbara and T. Lopez-R?os, "Controlling Strong Electromagnetic Fields at Subwavelength Scales," Phys. Rev. Lett. 97, 036405 (2006).
[CrossRef] [PubMed]

A. Barbara, J. Le Perchec, P. Quemerais and T. Lopez-R?os, "Experimental evidence of efficient cavity modes excitation in metallic gratings by attenuated total reflection," J. Appl. Phys. 98, 033705 (2005).
[CrossRef]

F. Ducastelle and P. Quemerais, "Chemical Self-Organization During Crystal Growth," Phys. Rev. Lett. 78, 102 (1997).
[CrossRef]

Rivoal, J. C.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

S. Gresillon, L. Aigouy, A. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest and P. Gadenne, "Experimental Observation of Localized Excitations in Random Metal-Dielectric Films," Phys. Rev. Lett 82, 4520 (1999).
[CrossRef]

Safonov, V.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Sambles, R.

A. Hibbins, I. Hooper, M. Lockyear and R. Sambles, "Microwave transmission of a compound metal grating," Phys. Rev. Lett. 96, 257402 (2006).
[CrossRef] [PubMed]

M. Sobnack, W. Tan, N. Wanstall, T. Preist and R. Sambles, "Stationary surface plasmons on zero-order metal grating," Phys. Rev. Lett. 80, 5667 (1998).
[CrossRef]

Sarychev, A.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Sauvan, C.

Shalaev, V.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Sobnack, M.

M. Sobnack, W. Tan, N. Wanstall, T. Preist and R. Sambles, "Stationary surface plasmons on zero-order metal grating," Phys. Rev. Lett. 80, 5667 (1998).
[CrossRef]

Tan, W.

M. Sobnack, W. Tan, N. Wanstall, T. Preist and R. Sambles, "Stationary surface plasmons on zero-order metal grating," Phys. Rev. Lett. 80, 5667 (1998).
[CrossRef]

Teissier, R.

S. Collin, F. Pardo, R. Teissier and J-L Pelouard, "Efficient light absorption in metalsemiconductormetal nanostructures," Appl. Phys. Lett 85, 194 (2004).
[CrossRef]

Trambly de Lassardiere, G.

G. Trambly de Lassardiere, D. Nguyen-Manh, D. Mayou, "Electronic structure of complex Hume-Rothery phases and quasicrystals in transition metal aluminides," Prog. Mater. Sci. 50, 679 (2005).
[CrossRef]

Vardeny, Z. V.

T. Matsui, A. Agrawal, A. Nahata and Z. V. Vardeny, "Transmission resonances through aperiodic arrays of subwavelength apertures," Nature 446,517 (2007).
[CrossRef] [PubMed]

Wandelt, K.

E. Albano, S. Daiser, G. Ertl, R. Miranda, K. Wandelt and N. Garcia, "Nature of surface-enhanced-Ramanscattering active sites on coldly condensed Ag films," Phys. Rev. Lett. 51, 2314-2317 (1983).
[CrossRef]

Wang, Z.

C. Douketis, Z. Wang, T.L. Haslett and M. Moskovits, "Fractal character of cold-deposited silver films determined by low-temperature scanning tunneling microscopy," Phys. Rev. B 51, 11022-11031 (1995).
[CrossRef]

Wanstall, N.

M. Sobnack, W. Tan, N. Wanstall, T. Preist and R. Sambles, "Stationary surface plasmons on zero-order metal grating," Phys. Rev. Lett. 80, 5667 (1998).
[CrossRef]

Wirgin, A.

A. Wirgin, A. A. Maradudin, "Resonant response of a bare metallic grating to s-polarized light," Prog. Surf. Sci. 22, 1 (1986).
[CrossRef]

A. Wirgin and T. Lopez-R?os, "Can surface enhanced Raman scattering be caused by waveguide resonances?," Opt. Commun. 48, 416-420 (1984) and T. Lopez-Rios and A. Wirgin Opt. Commun. 49,455 (1984).(errata)
[CrossRef]

Ying, Z.

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

Zhang, P.

P. Zhang, T. L. Haslett, C. Douketis and M. Moskovits, "Mode localization in self-affine fractal interfaces observed by near-field microscopy," Phys. Rev. B 57, 15513 (1998).
[CrossRef]

Ann. Chimi. Mater. (Paris) (1)

C. Berger, E. Belin, D. Mayou, "Electronic properties of quasicrystals," Ann. Chimi. Mater. (Paris) 18, 485 (1993).

Appl. Phys. Lett (1)

S. Collin, F. Pardo, R. Teissier and J-L Pelouard, "Efficient light absorption in metalsemiconductormetal nanostructures," Appl. Phys. Lett 85, 194 (2004).
[CrossRef]

Eur. Phys. J. D. (1)

A. Barbara, P. Quemerais, E. Bustarret, T. Lopez-R?os and T. Fournier, "Electromagnetic resonances of subwavelength rectangular metallic gratings,"Eur. Phys. J. D. 23,143-154 (2003).
[CrossRef]

IEEE Trans. Electron. Dev. (1)

D. Crouse, "Numerical modeling and electromagnetic resonant modes in complex grating structures and optoelectronic device applications," IEEE Trans. Electron. Dev. 52, 2365 (2005).
[CrossRef]

J. Appl. Phys. (1)

A. Barbara, J. Le Perchec, P. Quemerais and T. Lopez-R?os, "Experimental evidence of efficient cavity modes excitation in metallic gratings by attenuated total reflection," J. Appl. Phys. 98, 033705 (2005).
[CrossRef]

J. Phys: Condens. Matter. (1)

H. P. Lu, "Site-specific Raman spectroscopy and chemical dynamics of nanscale intersticial systems," J. Phys: Condens. Matter. 17, R333 (2005).
[CrossRef]

Nature (1)

T. Matsui, A. Agrawal, A. Nahata and Z. V. Vardeny, "Transmission resonances through aperiodic arrays of subwavelength apertures," Nature 446,517 (2007).
[CrossRef] [PubMed]

Opt. Commun. (1)

A. Hessel and A. A. Oliner, "Wood’s anomaly effects on gratings of large amplitude," Opt. Commun. 59, 327 (1986).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. B (3)

P. Zhang, T. L. Haslett, C. Douketis and M. Moskovits, "Mode localization in self-affine fractal interfaces observed by near-field microscopy," Phys. Rev. B 57, 15513 (1998).
[CrossRef]

S. Ducourtieux, V. Podolskiy, S. Gresillon, S. Buil, B. Berini, P. Gadenne, A. Boccara, J. C. Rivoal, W. Bragg, K. Banerjee, V. Safonov, V. Drachev, Z. Ying, A. Sarychev and V. Shalaev, "Near-field optical studies of semicontinous metal films," Phys. Rev. B 64,165403 (2001).
[CrossRef]

C. Douketis, Z. Wang, T.L. Haslett and M. Moskovits, "Fractal character of cold-deposited silver films determined by low-temperature scanning tunneling microscopy," Phys. Rev. B 51, 11022-11031 (1995).
[CrossRef]

Phys. Rev. Lett (1)

S. Gresillon, L. Aigouy, A. Boccara, J. C. Rivoal, X. Quelin, C. Desmarest and P. Gadenne, "Experimental Observation of Localized Excitations in Random Metal-Dielectric Films," Phys. Rev. Lett 82, 4520 (1999).
[CrossRef]

Phys. Rev. Lett. (7)

E. Albano, S. Daiser, G. Ertl, R. Miranda, K. Wandelt and N. Garcia, "Nature of surface-enhanced-Ramanscattering active sites on coldly condensed Ag films," Phys. Rev. Lett. 51, 2314-2317 (1983).
[CrossRef]

A. Hibbins, I. Hooper, M. Lockyear and R. Sambles, "Microwave transmission of a compound metal grating," Phys. Rev. Lett. 96, 257402 (2006).
[CrossRef] [PubMed]

J. Le Perchec, P. Quemerais, A. Barbara and T. Lopez-R?os, "Why metallic surfaces with grooves a few nanometers deep and wide may strongly absorb visible light," Phys. Rev. Lett. 100, 066408 (2008).
[CrossRef] [PubMed]

M. Sobnack, W. Tan, N. Wanstall, T. Preist and R. Sambles, "Stationary surface plasmons on zero-order metal grating," Phys. Rev. Lett. 80, 5667 (1998).
[CrossRef]

T. Lopez-R?os, D. Mendoza, FJ. Garc?a-Vidal, J. Sanchez-Dehesa and B. Pannetier, "Surface shape resonances in lamellar metallic gratings," Phys. Rev. Lett. 81, 665 (1998).
[CrossRef]

J. Le Perchec, P. Quemerais, A. Barbara and T. Lopez-R?os, "Controlling Strong Electromagnetic Fields at Subwavelength Scales," Phys. Rev. Lett. 97, 036405 (2006).
[CrossRef] [PubMed]

F. Ducastelle and P. Quemerais, "Chemical Self-Organization During Crystal Growth," Phys. Rev. Lett. 78, 102 (1997).
[CrossRef]

Phys. Scr. (1)

E. Belin and D. Mayou, "Electronic properties of quasicrystals," Phys. Scr. T49, 356 (1993).
[CrossRef]

Prog. Mater. Sci. (1)

G. Trambly de Lassardiere, D. Nguyen-Manh, D. Mayou, "Electronic structure of complex Hume-Rothery phases and quasicrystals in transition metal aluminides," Prog. Mater. Sci. 50, 679 (2005).
[CrossRef]

Prog. Surf. Sci. (1)

A. Wirgin, A. A. Maradudin, "Resonant response of a bare metallic grating to s-polarized light," Prog. Surf. Sci. 22, 1 (1986).
[CrossRef]

Wirgin Opt. Commun. (1)

A. Wirgin and T. Lopez-R?os, "Can surface enhanced Raman scattering be caused by waveguide resonances?," Opt. Commun. 48, 416-420 (1984) and T. Lopez-Rios and A. Wirgin Opt. Commun. 49,455 (1984).(errata)
[CrossRef]

Other (7)

G. Tayeb and R. Petit, "On the numerical study of deep conducting lamellar diffraction gratings," Opt. Acta 31, 1361 (1984).
[CrossRef]

S. Aubry and P. Quemerais in Low-dimensional electronic properties of Molybdenum bronzes and oxides, p.293 C. Schlenker, ed., (Kluwer Academic Publishers 1989).

D. Skigin and R. Depine, "Transmission Resonances of Metallic Compound Gratings with Subwavelength Slits," Phys. Rev. lett. 95, 217402 (2005) and references therein.
[CrossRef] [PubMed]

H. A. Rowland, Phys. papers, Johns Hopkins Univ. Press, Baltimore (1902).

F. Ducastelle, "Order and phase stability in alloys," Cohesion and Structure Vol. 3, F. R. De Boer and D. G. Pettifor, eds., (North-Holland 1991).

E. D. Palik, Handbook of Optical Constants of Solids,( Academic Press).

A. Barbara, P. Quemerais, E. Bustarret and T. Lopez-R?os, "Optical transmission through subwavelength metallic gratings," Phys. Rev B.  66,161403(R) (2002).
[CrossRef]

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Figures (5)

Fig. 1.
Fig. 1.

Example of a uniformly ordered commensurate structure <3/5> of period D=3S+2L where L and S respectively stand for the long and short distances separating two cavities. The grooves are identical with an aperture w and a height h. Inset represents a SEM image of the <2/3> gold sample.

Fig. 2.
Fig. 2.

(Color Online)(a) Calculated specular reflectivity as R/Q tends to the inverse of the mean golden number and (b) magnetic near-field intensity at the interface y=0 at the frequency resonance located around 2000 cm -1 where the reflectivity is minimal. Y-scale goes from R min to 1 in (a) and from 0 to I Max in (b). Simulations were made considering w=0.3µm, S=0.7µm, L=1.2µm, h=1µm, and an incidence angle θ=15°. Vertical black lines in (b) indicate the position of the cavities within one period. For shallow grooves (h=0.2µm) the strong resonances disappear. Only weak resonances due to the horizontal surface plasmon subsist and the near-field exhibits no hot spots.

Fig. 3.
Fig. 3.

(Color Online) Intensity maps of the electric field along the x-axis above one period of the <8/13> grating considered on Fig.2. Calculations were made at the frequencies indicated by green dots on Fig.2(a): (a) 1985 cm -1, (b) 2015 cm -1,(c) 2035 cm -1 and (d) 2040 cm -1. The fluctuation of the photons localization is clearly illustrated, while the incident wave number varies by only a few percent.

Fig. 4.
Fig. 4.

(Color Online) Measured (black) and calculated (gray) specular reflectivity at θ=10° of the gratings <1/1> (a), <1/2> (b) and <2/3> (c). Cavity resonances are noted CM and surface plasmon SP. The arrows indicate the direction of the equivalent dipole momentum at the mouth of each cavity.

Fig. 5.
Fig. 5.

(Color Online) Experimental (black) and calculated (gray) turnover of the relative reflectivity minima of the two sharp resonances for the <2/3> grating when varying the incidence angle θ=5° (a), θ=12.5° (b), θ=24° (c). (d) displays maps of the near-electric field intensity along the x-axis and above the cavities for to the antisymmetric (left) and symmetric (right) resonances measured at θ=5°.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

H z ( II ) ( x , y ) = p = 1 Q n = 0 + A p n cos [ w ( x x p + w 2 ) ]
× ( e i μ n ( y + 2 h ) + r n e i μ n y ) ( x x p )

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