Abstract

The propagation of laser-excited surface plasmons along a gold film with surface roughness is directly observed via scattered light. The attenuation length of surface plasmons in a broad wavelength interval is calculated for smooth gold and silver films. The surface roughness, which was characterized with an AFM, introduces corrections to the attenuation length, angular dependence of the surface plasmon resonance, and the effective dielectric constant of the metal film. These corrections are also taken into account and discussed.

© 2009 Optical Society of America

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2007 (1)

2006 (2)

A. Degiron and D. R. Smith, “Numerical simulations of long-range plasmons,” Opt. Express 14, 1611-1625 (2006).
[CrossRef]

M. U. Gonzalez, J.-C. Weeber, A. L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, “Design, near-field characterization, and modeling of 45°surface-plasmon Bragg mirrors,” Phys. Rev. B 73, 155416(2006).
[CrossRef]

2005 (2)

A. Bouhelier and G. P. Wiederrecht, “Surface plasmon rainbow jets,” Opt. Lett. 30, 884-886 (2005).
[CrossRef]

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408, 131-314(2005).
[CrossRef]

2002 (1)

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404-405 (2002).
[CrossRef]

2001 (1)

P. Dawson, B. A. F. Puygranier, and J-P. Goudonnet, “Surface plasmon polariton propagation length: a direct comparison using photon scanning tunneling microscopy and attenuated total reflection,” Phys. Rev. B 63, 205410 (2001).
[CrossRef]

2000 (1)

1998 (1)

A. Hoffmann, Z. Lenkefi, and Z. Szentirmay, “Effect of roughness on surface plasmon scattering in gold films,” J. Phys. Condens. Matter 10, 5503-5513 (1998).
[CrossRef]

1997 (1)

C. E. Jordan, A. G. Frutos, A. J. Thiel, and R. M. Corn, “Surface plasmon resonance imaging measurements of DNA hybridization adsorption and streptavidin/DNA multilayer formation at chemically modified gold surfaces,” Anal. Chem. 69, 4939-4947 (1997).
[CrossRef]

1994 (2)

P. Dawson, F. de Fornel, and J-P. Goudonnet, “Imaging of surface plasmon propagation and edge interaction using a photon scanning tunneling microscope,” Phys. Rev. Lett. 72, 2927(1994).
[CrossRef]

H. Kano and S. Kawata, “Surface-plasmon sensor for absorption-sensitivity enhancement,” Appl. Opt. 33, 5166-5170 (1994).
[CrossRef]

1991 (1)

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

1989 (2)

S. Negm and H. Talaat, “Surface plasmon resonance halfwidths as measured using attenuated total reflection, forward scattering and photoacoustics,” J. Phys. Condens. Matter 1, 10201-10205 (1989).
[CrossRef]

W. Hickel, D. Kamp, and W. Knoll, “Surface-plasmon microscopy,” Nature 339, 186 (1989).
[CrossRef]

1988 (1)

E. Fontana and R. H. Pantell, “Characterization of multilayer rough surfaces by use of surface-plasmon spectroscopy,” Phys. Rev. B 37, 3164-3182 (1988).
[CrossRef]

1983 (1)

H. Raether, “The dispersion relation of surface plasmons on rough surfaces; a comment on roughness data,” Surf. Sci. 125, 624-634 (1983).
[CrossRef]

1981 (1)

U. Schröder, “Der einfluss dünner metallischer deckschichten auf die dispersion von oberflaechenplasmaschwingungen in gold-silber-schichtsystemen,“ Surf. Sci. 102, 118-130(1981).
[CrossRef]

1980 (1)

S. O. Sari, D. K. Coben, and K. D. Scherkoske, “Study of surface plasma-wave reflectance and roughness-induced scattering in silver foils,” Phys. Rev. B 21, 2162-2174 (1980).
[CrossRef]

1977 (1)

F. Toigo, A. Marvin, V. Celli, and N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618-5626 (1977).
[CrossRef]

1976 (1)

E. Kröger and E. Kretschmann, “Surface plasmon and polariton dispersion at rough boundaries,” Phys. Stat. Sol. (B) 76, 515-523 (1976).
[CrossRef]

1975 (3)

C. A. Ward, K. Bhasin, R. J. Bell, R. W. Alexander, and I. Tyler, “Multimedia dispersion relation for surface electromagnetic waves,” J. Chem. Phys. 62, 1674-1676 (1975).
[CrossRef]

D. L. Mills, “Attenuation of surface polaritons by surface roughness,” Phys. Rev. B 12, 4036-4046 (1975).
[CrossRef]

A. A. Maradudin and D. L. Mills, “Scattering and absorption of electromagnetic radiation by a semi-infinite medium in the presence of surface roughness,” Phys. Rev. B 11, 1392-1415(1975).
[CrossRef]

1972 (2)

E. Kretschmann, “The angular dependence and the polarization of light emitted by surface plasmons on metals due to roughness,” Opt. Commun. 5, 331-336 (1972).
[CrossRef]

E. Kretschmann, “Decay of non radiative surface plasmons into light on rough silver films. Comparison of experimental and theoretical results,” Opt. Commun. 6, 185-187(1972).
[CrossRef]

1971 (1)

E. Kretschmann, “Die bestimmung optischer konstanten von metallen durch anregung von oberflaechenplasmaschwingungen,” Z. Phys. 241, 313-324 (1971).
[CrossRef]

1968 (1)

H. Raether and E. Kretschmann, “Radiative decay of non radiative surface plasmons excited by light,” Z. Naturforsch. 23a, 2135-2136 (1968).

1957 (1)

R. H. Ritchie, “Plasma losses by fast electrons in thin films,” Phys. Rev. 106, 874-881 (1957).
[CrossRef]

1941 (1)

1902 (1)

R. W. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Philos. Mag. 4, 396-402 (1902).

Alexander, R. W.

C. A. Ward, K. Bhasin, R. J. Bell, R. W. Alexander, and I. Tyler, “Multimedia dispersion relation for surface electromagnetic waves,” J. Chem. Phys. 62, 1674-1676 (1975).
[CrossRef]

Aussenegg, F. R.

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404-405 (2002).
[CrossRef]

Baudrion, A. L.

M. U. Gonzalez, J.-C. Weeber, A. L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, “Design, near-field characterization, and modeling of 45°surface-plasmon Bragg mirrors,” Phys. Rev. B 73, 155416(2006).
[CrossRef]

Bell, R. J.

C. A. Ward, K. Bhasin, R. J. Bell, R. W. Alexander, and I. Tyler, “Multimedia dispersion relation for surface electromagnetic waves,” J. Chem. Phys. 62, 1674-1676 (1975).
[CrossRef]

Bhasin, K.

C. A. Ward, K. Bhasin, R. J. Bell, R. W. Alexander, and I. Tyler, “Multimedia dispersion relation for surface electromagnetic waves,” J. Chem. Phys. 62, 1674-1676 (1975).
[CrossRef]

Bouhelier, A.

Brekhovskikh, L. M.

L. M. Brekhovskikh, Waves in Layered Media, 2nd ed.(Academic, 1980).

Celli, V.

F. Toigo, A. Marvin, V. Celli, and N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618-5626 (1977).
[CrossRef]

Coben, D. K.

S. O. Sari, D. K. Coben, and K. D. Scherkoske, “Study of surface plasma-wave reflectance and roughness-induced scattering in silver foils,” Phys. Rev. B 21, 2162-2174 (1980).
[CrossRef]

Corn, R. M.

C. E. Jordan, A. G. Frutos, A. J. Thiel, and R. M. Corn, “Surface plasmon resonance imaging measurements of DNA hybridization adsorption and streptavidin/DNA multilayer formation at chemically modified gold surfaces,” Anal. Chem. 69, 4939-4947 (1997).
[CrossRef]

Dawson, P.

P. Dawson, B. A. F. Puygranier, and J-P. Goudonnet, “Surface plasmon polariton propagation length: a direct comparison using photon scanning tunneling microscopy and attenuated total reflection,” Phys. Rev. B 63, 205410 (2001).
[CrossRef]

P. Dawson, F. de Fornel, and J-P. Goudonnet, “Imaging of surface plasmon propagation and edge interaction using a photon scanning tunneling microscope,” Phys. Rev. Lett. 72, 2927(1994).
[CrossRef]

de Fornel, F.

P. Dawson, F. de Fornel, and J-P. Goudonnet, “Imaging of surface plasmon propagation and edge interaction using a photon scanning tunneling microscope,” Phys. Rev. Lett. 72, 2927(1994).
[CrossRef]

Degiron, A.

Dereux, A.

M. U. Gonzalez, J.-C. Weeber, A. L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, “Design, near-field characterization, and modeling of 45°surface-plasmon Bragg mirrors,” Phys. Rev. B 73, 155416(2006).
[CrossRef]

Devaux, E.

M. U. Gonzalez, J.-C. Weeber, A. L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, “Design, near-field characterization, and modeling of 45°surface-plasmon Bragg mirrors,” Phys. Rev. B 73, 155416(2006).
[CrossRef]

Ditlbacher, H.

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404-405 (2002).
[CrossRef]

Ebbesen, T. W.

M. U. Gonzalez, J.-C. Weeber, A. L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, “Design, near-field characterization, and modeling of 45°surface-plasmon Bragg mirrors,” Phys. Rev. B 73, 155416(2006).
[CrossRef]

Fägerstam, L.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Fano, U.

Felidj, N.

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404-405 (2002).
[CrossRef]

Fontana, E.

E. Fontana and R. H. Pantell, “Characterization of multilayer rough surfaces by use of surface-plasmon spectroscopy,” Phys. Rev. B 37, 3164-3182 (1988).
[CrossRef]

Frutos, A. G.

C. E. Jordan, A. G. Frutos, A. J. Thiel, and R. M. Corn, “Surface plasmon resonance imaging measurements of DNA hybridization adsorption and streptavidin/DNA multilayer formation at chemically modified gold surfaces,” Anal. Chem. 69, 4939-4947 (1997).
[CrossRef]

Gershon, P. D.

Gonzalez, M. U.

M. U. Gonzalez, J.-C. Weeber, A. L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, “Design, near-field characterization, and modeling of 45°surface-plasmon Bragg mirrors,” Phys. Rev. B 73, 155416(2006).
[CrossRef]

Goudonnet, J-P.

P. Dawson, B. A. F. Puygranier, and J-P. Goudonnet, “Surface plasmon polariton propagation length: a direct comparison using photon scanning tunneling microscopy and attenuated total reflection,” Phys. Rev. B 63, 205410 (2001).
[CrossRef]

P. Dawson, F. de Fornel, and J-P. Goudonnet, “Imaging of surface plasmon propagation and edge interaction using a photon scanning tunneling microscope,” Phys. Rev. Lett. 72, 2927(1994).
[CrossRef]

Hickel, W.

W. Hickel, D. Kamp, and W. Knoll, “Surface-plasmon microscopy,” Nature 339, 186 (1989).
[CrossRef]

Hill, N. R.

F. Toigo, A. Marvin, V. Celli, and N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618-5626 (1977).
[CrossRef]

Hoffmann, A.

A. Hoffmann, Z. Lenkefi, and Z. Szentirmay, “Effect of roughness on surface plasmon scattering in gold films,” J. Phys. Condens. Matter 10, 5503-5513 (1998).
[CrossRef]

Ivarsson, B.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Iwata, T.

Johnsson, B.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Jönsson, U.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Jordan, C. E.

C. E. Jordan, A. G. Frutos, A. J. Thiel, and R. M. Corn, “Surface plasmon resonance imaging measurements of DNA hybridization adsorption and streptavidin/DNA multilayer formation at chemically modified gold surfaces,” Anal. Chem. 69, 4939-4947 (1997).
[CrossRef]

Kamp, D.

W. Hickel, D. Kamp, and W. Knoll, “Surface-plasmon microscopy,” Nature 339, 186 (1989).
[CrossRef]

Kano, H.

Karlsson, R.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Kawata, S.

Knoll, W.

W. Hickel, D. Kamp, and W. Knoll, “Surface-plasmon microscopy,” Nature 339, 186 (1989).
[CrossRef]

Kolomenskii, A. A.

Kovacs, G.

G. Kovacs, “Optical excitation of surface plasmon-polaritons in layered media,” in Electromagnetic Surface Modes, A. D. Boardman, ed. (Wiley, 1982), pp. 143-197.

Krenn, J. R.

M. U. Gonzalez, J.-C. Weeber, A. L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, “Design, near-field characterization, and modeling of 45°surface-plasmon Bragg mirrors,” Phys. Rev. B 73, 155416(2006).
[CrossRef]

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404-405 (2002).
[CrossRef]

Kretschmann, E.

E. Kröger and E. Kretschmann, “Surface plasmon and polariton dispersion at rough boundaries,” Phys. Stat. Sol. (B) 76, 515-523 (1976).
[CrossRef]

E. Kretschmann, “Decay of non radiative surface plasmons into light on rough silver films. Comparison of experimental and theoretical results,” Opt. Commun. 6, 185-187(1972).
[CrossRef]

E. Kretschmann, “The angular dependence and the polarization of light emitted by surface plasmons on metals due to roughness,” Opt. Commun. 5, 331-336 (1972).
[CrossRef]

E. Kretschmann, “Die bestimmung optischer konstanten von metallen durch anregung von oberflaechenplasmaschwingungen,” Z. Phys. 241, 313-324 (1971).
[CrossRef]

H. Raether and E. Kretschmann, “Radiative decay of non radiative surface plasmons excited by light,” Z. Naturforsch. 23a, 2135-2136 (1968).

Kröger, E.

E. Kröger and E. Kretschmann, “Surface plasmon and polariton dispersion at rough boundaries,” Phys. Stat. Sol. (B) 76, 515-523 (1976).
[CrossRef]

Lamprecht, B.

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404-405 (2002).
[CrossRef]

Leitner, A.

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404-405 (2002).
[CrossRef]

Lenkefi, Z.

A. Hoffmann, Z. Lenkefi, and Z. Szentirmay, “Effect of roughness on surface plasmon scattering in gold films,” J. Phys. Condens. Matter 10, 5503-5513 (1998).
[CrossRef]

Löfås, S.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Lundh, K.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Maeda, S.

Malmqvist, M.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Maradudin, A. A.

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408, 131-314(2005).
[CrossRef]

A. A. Maradudin and D. L. Mills, “Scattering and absorption of electromagnetic radiation by a semi-infinite medium in the presence of surface roughness,” Phys. Rev. B 11, 1392-1415(1975).
[CrossRef]

Marvin, A.

F. Toigo, A. Marvin, V. Celli, and N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618-5626 (1977).
[CrossRef]

Mills, D. L.

D. L. Mills, “Attenuation of surface polaritons by surface roughness,” Phys. Rev. B 12, 4036-4046 (1975).
[CrossRef]

A. A. Maradudin and D. L. Mills, “Scattering and absorption of electromagnetic radiation by a semi-infinite medium in the presence of surface roughness,” Phys. Rev. B 11, 1392-1415(1975).
[CrossRef]

Negm, S.

S. Negm and H. Talaat, “Surface plasmon resonance halfwidths as measured using attenuated total reflection, forward scattering and photoacoustics,” J. Phys. Condens. Matter 1, 10201-10205 (1989).
[CrossRef]

Östlin, H.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Pantell, R. H.

E. Fontana and R. H. Pantell, “Characterization of multilayer rough surfaces by use of surface-plasmon spectroscopy,” Phys. Rev. B 37, 3164-3182 (1988).
[CrossRef]

Persson, B.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Puygranier, B. A. F.

P. Dawson, B. A. F. Puygranier, and J-P. Goudonnet, “Surface plasmon polariton propagation length: a direct comparison using photon scanning tunneling microscopy and attenuated total reflection,” Phys. Rev. B 63, 205410 (2001).
[CrossRef]

Raether, H.

H. Raether, “The dispersion relation of surface plasmons on rough surfaces; a comment on roughness data,” Surf. Sci. 125, 624-634 (1983).
[CrossRef]

H. Raether and E. Kretschmann, “Radiative decay of non radiative surface plasmons excited by light,” Z. Naturforsch. 23a, 2135-2136 (1968).

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

Ritchie, R. H.

R. H. Ritchie, “Plasma losses by fast electrons in thin films,” Phys. Rev. 106, 874-881 (1957).
[CrossRef]

Rönnberg, I.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Roos, H.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Salerno, M.

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404-405 (2002).
[CrossRef]

Sari, S. O.

S. O. Sari, D. K. Coben, and K. D. Scherkoske, “Study of surface plasma-wave reflectance and roughness-induced scattering in silver foils,” Phys. Rev. B 21, 2162-2174 (1980).
[CrossRef]

Scherkoske, K. D.

S. O. Sari, D. K. Coben, and K. D. Scherkoske, “Study of surface plasma-wave reflectance and roughness-induced scattering in silver foils,” Phys. Rev. B 21, 2162-2174 (1980).
[CrossRef]

Schider, G.

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404-405 (2002).
[CrossRef]

Schröder, U.

U. Schröder, “Der einfluss dünner metallischer deckschichten auf die dispersion von oberflaechenplasmaschwingungen in gold-silber-schichtsystemen,“ Surf. Sci. 102, 118-130(1981).
[CrossRef]

Schuessler, H. A.

Sjölander, S.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Smith, D. R.

Smolyaninov, I. I.

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408, 131-314(2005).
[CrossRef]

Ståhlberg, R.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Stenberg, E.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Stepanov, A. L.

M. U. Gonzalez, J.-C. Weeber, A. L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, “Design, near-field characterization, and modeling of 45°surface-plasmon Bragg mirrors,” Phys. Rev. B 73, 155416(2006).
[CrossRef]

Szentirmay, Z.

A. Hoffmann, Z. Lenkefi, and Z. Szentirmay, “Effect of roughness on surface plasmon scattering in gold films,” J. Phys. Condens. Matter 10, 5503-5513 (1998).
[CrossRef]

Talaat, H.

S. Negm and H. Talaat, “Surface plasmon resonance halfwidths as measured using attenuated total reflection, forward scattering and photoacoustics,” J. Phys. Condens. Matter 1, 10201-10205 (1989).
[CrossRef]

Thiel, A. J.

C. E. Jordan, A. G. Frutos, A. J. Thiel, and R. M. Corn, “Surface plasmon resonance imaging measurements of DNA hybridization adsorption and streptavidin/DNA multilayer formation at chemically modified gold surfaces,” Anal. Chem. 69, 4939-4947 (1997).
[CrossRef]

Toigo, F.

F. Toigo, A. Marvin, V. Celli, and N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618-5626 (1977).
[CrossRef]

Tyler, I.

C. A. Ward, K. Bhasin, R. J. Bell, R. W. Alexander, and I. Tyler, “Multimedia dispersion relation for surface electromagnetic waves,” J. Chem. Phys. 62, 1674-1676 (1975).
[CrossRef]

Urbaniczky, C.

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

Ward, C. A.

C. A. Ward, K. Bhasin, R. J. Bell, R. W. Alexander, and I. Tyler, “Multimedia dispersion relation for surface electromagnetic waves,” J. Chem. Phys. 62, 1674-1676 (1975).
[CrossRef]

Weeber, J.-C.

M. U. Gonzalez, J.-C. Weeber, A. L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, “Design, near-field characterization, and modeling of 45°surface-plasmon Bragg mirrors,” Phys. Rev. B 73, 155416(2006).
[CrossRef]

Wiederrecht, G. P.

Wood, R. W.

R. W. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Philos. Mag. 4, 396-402 (1902).

Zayats, A. V.

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408, 131-314(2005).
[CrossRef]

Anal. Chem. (1)

C. E. Jordan, A. G. Frutos, A. J. Thiel, and R. M. Corn, “Surface plasmon resonance imaging measurements of DNA hybridization adsorption and streptavidin/DNA multilayer formation at chemically modified gold surfaces,” Anal. Chem. 69, 4939-4947 (1997).
[CrossRef]

Appl. Opt. (3)

Appl. Phys. Lett. (1)

H. Ditlbacher, J. R. Krenn, N. Felidj, B. Lamprecht, G. Schider, M. Salerno, A. Leitner, and F. R. Aussenegg, “Fluorescence imaging of surface plasmon fields,” Appl. Phys. Lett. 80, 404-405 (2002).
[CrossRef]

BioTechniques (1)

U. Jönsson, L. Fägerstam, B. Ivarsson, B. Johnsson, R. Karlsson, K. Lundh, S. Löfås, B. Persson, H. Roos, I. Rönnberg, S. Sjölander, E. Stenberg, R. Ståhlberg, C. Urbaniczky, H. Östlin, and M. Malmqvist, “Real-time biospecific interaction analysis using surface plasmon resonance and a sensor chip technology,” BioTechniques 11, 620-627 (1991).

J. Chem. Phys. (1)

C. A. Ward, K. Bhasin, R. J. Bell, R. W. Alexander, and I. Tyler, “Multimedia dispersion relation for surface electromagnetic waves,” J. Chem. Phys. 62, 1674-1676 (1975).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Phys. Condens. Matter (2)

S. Negm and H. Talaat, “Surface plasmon resonance halfwidths as measured using attenuated total reflection, forward scattering and photoacoustics,” J. Phys. Condens. Matter 1, 10201-10205 (1989).
[CrossRef]

A. Hoffmann, Z. Lenkefi, and Z. Szentirmay, “Effect of roughness on surface plasmon scattering in gold films,” J. Phys. Condens. Matter 10, 5503-5513 (1998).
[CrossRef]

Nature (1)

W. Hickel, D. Kamp, and W. Knoll, “Surface-plasmon microscopy,” Nature 339, 186 (1989).
[CrossRef]

Opt. Commun. (2)

E. Kretschmann, “Decay of non radiative surface plasmons into light on rough silver films. Comparison of experimental and theoretical results,” Opt. Commun. 6, 185-187(1972).
[CrossRef]

E. Kretschmann, “The angular dependence and the polarization of light emitted by surface plasmons on metals due to roughness,” Opt. Commun. 5, 331-336 (1972).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Philos. Mag. (1)

R. W. Wood, “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Philos. Mag. 4, 396-402 (1902).

Phys. Rep. (1)

A. V. Zayats, I. I. Smolyaninov, and A. A. Maradudin, “Nano-optics of surface plasmon polaritons,” Phys. Rep. 408, 131-314(2005).
[CrossRef]

Phys. Rev. (1)

R. H. Ritchie, “Plasma losses by fast electrons in thin films,” Phys. Rev. 106, 874-881 (1957).
[CrossRef]

Phys. Rev. B (7)

A. A. Maradudin and D. L. Mills, “Scattering and absorption of electromagnetic radiation by a semi-infinite medium in the presence of surface roughness,” Phys. Rev. B 11, 1392-1415(1975).
[CrossRef]

D. L. Mills, “Attenuation of surface polaritons by surface roughness,” Phys. Rev. B 12, 4036-4046 (1975).
[CrossRef]

P. Dawson, B. A. F. Puygranier, and J-P. Goudonnet, “Surface plasmon polariton propagation length: a direct comparison using photon scanning tunneling microscopy and attenuated total reflection,” Phys. Rev. B 63, 205410 (2001).
[CrossRef]

M. U. Gonzalez, J.-C. Weeber, A. L. Baudrion, A. Dereux, A. L. Stepanov, J. R. Krenn, E. Devaux, and T. W. Ebbesen, “Design, near-field characterization, and modeling of 45°surface-plasmon Bragg mirrors,” Phys. Rev. B 73, 155416(2006).
[CrossRef]

F. Toigo, A. Marvin, V. Celli, and N. R. Hill, “Optical properties of rough surfaces: general theory and the small roughness limit,” Phys. Rev. B 15, 5618-5626 (1977).
[CrossRef]

S. O. Sari, D. K. Coben, and K. D. Scherkoske, “Study of surface plasma-wave reflectance and roughness-induced scattering in silver foils,” Phys. Rev. B 21, 2162-2174 (1980).
[CrossRef]

E. Fontana and R. H. Pantell, “Characterization of multilayer rough surfaces by use of surface-plasmon spectroscopy,” Phys. Rev. B 37, 3164-3182 (1988).
[CrossRef]

Phys. Rev. Lett. (1)

P. Dawson, F. de Fornel, and J-P. Goudonnet, “Imaging of surface plasmon propagation and edge interaction using a photon scanning tunneling microscope,” Phys. Rev. Lett. 72, 2927(1994).
[CrossRef]

Phys. Stat. Sol. (B) (1)

E. Kröger and E. Kretschmann, “Surface plasmon and polariton dispersion at rough boundaries,” Phys. Stat. Sol. (B) 76, 515-523 (1976).
[CrossRef]

Surf. Sci. (2)

H. Raether, “The dispersion relation of surface plasmons on rough surfaces; a comment on roughness data,” Surf. Sci. 125, 624-634 (1983).
[CrossRef]

U. Schröder, “Der einfluss dünner metallischer deckschichten auf die dispersion von oberflaechenplasmaschwingungen in gold-silber-schichtsystemen,“ Surf. Sci. 102, 118-130(1981).
[CrossRef]

Z. Naturforsch. (1)

H. Raether and E. Kretschmann, “Radiative decay of non radiative surface plasmons excited by light,” Z. Naturforsch. 23a, 2135-2136 (1968).

Z. Phys. (1)

E. Kretschmann, “Die bestimmung optischer konstanten von metallen durch anregung von oberflaechenplasmaschwingungen,” Z. Phys. 241, 313-324 (1971).
[CrossRef]

Other (6)

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

G. Kovacs, “Optical excitation of surface plasmon-polaritons in layered media,” in Electromagnetic Surface Modes, A. D. Boardman, ed. (Wiley, 1982), pp. 143-197.

L. M. Brekhovskikh, Waves in Layered Media, 2nd ed.(Academic, 1980).

Handbook of Optical Constants of Solids, E. D. Palik, ed. (Academic, 1985).

The Properties of Optical Glass, H. Bach and N. Neuroth, eds. (Springer, 1995), pp. 4-9.

American Institute of Physics Handbook, D. E. Gray, ed. (McGraw-Hill, 1972), p. 105.

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Figures (7)

Fig. 1
Fig. 1

Experimental setup for studies of surface plasmons.

Fig. 2
Fig. 2

Measured and calculated SPR curves for (a)  633 nm and (b)  805 nm .

Fig. 3
Fig. 3

Surface roughness measured with AFM: (a) false color surface relief and (b) the PSD function of the surface roughness in logarithmic scale. The inset shows the fitting of the PSD function by G ˜ 1 ( k ) of Eq. (12) with δ = 2.0 nm and σ = 36 nm [axes have the same units as in Fig. 3b].

Fig. 4
Fig. 4

Measured distribution of the scattered light intensity near the laser illumination stripe for (a)  633 nm and (b)  805 nm .

Fig. 5
Fig. 5

Dependence of the factor | t 012 ( θ ) | 2 on the angle for two wavelengths 633 and 805 nm , calculated for ε 1 from [30] and the corresponding effective dielectric constant of the gold film, ε 1 , eff .

Fig. 6
Fig. 6

Surface plasmon attenuation lengths for (a) gold and (b) silver films of 47 nm thickness, calculated for a broad spectral range without account for roughness [the exact 0-order model, Eqs. (1, 2); the results are shown by solid lines and solid lines with triangles] and approximate 0-order model [Eqs. (3, 4, 5, 6) with Δ k r = Γ r = 0 ; the results are shown by dashed lines]. The steps in the dependences, calculated with the data from [32], are due to the shifts present in this data.

Fig. 7
Fig. 7

Influence of the thickness of the gold film on the properties of SPs: (a) SP resonance curves at 633 nm for different film thicknesses, (b) the dependence of the attenuation length on the film thickness for 633 and 805 nm . The dielectric constants from [30] are used.

Tables (1)

Tables Icon

Table 1 Dielectric Constants of Gold ε 1 and Glass ε 2 , SP Attenuation Length Without Roughness L sp ; Effective Dielectric Constant ε 1 , eff ; Attenuation Length L sp , r Calculated with Roughness ( δ = 2.0 nm , σ = 36 nm ) and Experimentally Determined SP Attenuation Lengths

Equations (16)

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

R = | Z in , 1 Z 0 Z in , 1 + Z 0 | 2 .
Z in , m = Z m [ Z in , m + 1 i Z m tan ( k m , z d m ) Z m i Z in , m + 1 tan ( k m , z d m ) ] ,
R = 1 4 ( Γ i + Γ r ) Γ rad ( k k SP , r ) ( k k SP , r * ) ,
k SP , r = k SP + ( Δ k r + i Γ r ) = k p + Δ k p + Δ k r + i ( Γ i + Γ rad + Γ r )
g = 2 k p n p 2 exp [ 2 k p ( ε 1 r / ε 2 r ) 1 / 2 d 1 ] / ( Re ε 2 r + | ε 1 r | ) , a = | ε 1 r | ( ε 0 ε 2 r ) ε 0 ε 2 r , n p = [ ε 1 r ε 2 r / ( ε 1 r + ε 2 r ) ] 1 / 2 , Γ i 1 = k p ( ε 1 i / 2 ε 1 r 2 ) n p 2 , Γ i 2 = k p ( ε 2 i / 2 ε 2 r 2 ) n p 2 , Γ rad = [ 2 a ε 0 / ( a 2 + ε 0 2 ) ] g .
L sp , r = 0.5 ( Γ i 1 + Γ i 2 + Γ r + Γ rad ) 1 .
L sp ( ε 0 k 0 cos θ res Δ θ ) 1 .
d P = 4 P 0 ( π λ ) 4 | ε 2 | 0.5 cos θ | t 012 ( θ ) | 2 | W ( θ ) | 2 G ˜ ( k k ) d Ω ,
G ˜ ( k ) = 1 ( 2 π ) 2 G ( r ) exp ( i kr ) d r
G ( r ) = 1 S S ς ( r ) ς ( r + r ) d r ,
G ( r ) = δ 2 exp ( r 2 σ 2 ) ,
G ˜ ( k ) = σ 2 π G ˜ 1 ( k ) , G ˜ 1 ( k ) = δ 2 σ 2 π exp ( k 2 σ 2 4 ) .
Δ k SP = k SP , r k SP = Δ k r + i Γ r ,
[ k p + Δ k p + i ( Γ i + Γ rad ) ] | ε 1 > ε 1 , eff = [ k p + Δ k p + Δ k r + i ( Γ i + Γ r + Γ rad ) ] | ε 1 .
| t 012 ( θ ) | 2 = | ( 1 + r 21 ) ( 1 + r 10 ) exp ( i k 1 d 1 ) 1 + r 21 r 10 exp ( 2 i k 1 d 1 ) | 2 ,
F ( x ) exp ( x 2 / a 2 ) 0 exp [ x 1 2 / a 2 ± x 1 ( 2 x / a 2 + 1 / L sp ) ] d x 1 ,

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