Abstract

A theory for focused optical beams at planar structures is described. It is an extension of a previous theory based on summation of plane waves. The focused beam is obtained by an imaginary shift in the position vector of the plane waves. It is well suited for calculations of electromagnetic fields at planar surface plasmon resonance structures excited by a focused optical beam.

© 2007 Optical Society of America

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References

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  1. G. A. Deschamps, "Gaussian beam as a bundle of complex rays," Electron. Lett. 7, 684-685 (1971).
    [Crossref]
  2. M. Hashimoto, "Beam waves with sources at complex location," Electron. Lett. 21, 1096-1097 (1985).
  3. S. Y. Shin and L. B. Felsen, "Gaussian-beam modes by multipoles with complex source points," J. Opt. Soc. Am. A 67, 699-700 (1977).
  4. C. J. R. Sheppard and S. Saghafi, "Beam modes beyond the paraxial approximation: a scalar treatment," Phys. Rev. A 57, 2971-2979 (1998).
    [Crossref]
  5. J. W. Ra, H. L. Bertoni, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396-413 (1973).
    [Crossref]
  6. E. Heyman, R. Strahilevitz, and D. Kosloff, "Pulsed-beam reflection and transmission at a planar interface--exact-solutions and local models," Wave Motion 18, 315-343 (1993).
    [Crossref]
  7. N. Calander, "Theory and simulation of surface plasmon-coupled directional emission from fluorophores at planar structures," Anal. Chem. 76, 2168-2173 (2004).
  8. N. Calander, "Surface plasmon-coupled emission and Fabry-Perot resonance in the sample layer: a theoretical approach," J. Phys. Chem. B 109, 13957-13963 (2005).
  9. J. Homola, S. S. Yee, and G. Gauglitz, "Surface plasmon resonance sensors: review," Sens. Actuators B 54, 3-15 (1999).
    [Crossref]
  10. S. Lofas, M. Malmqvist, I. Ronnberg, E. Stenberg, B. Liedberg, and I. Lundstrom, "Bioanalysis with surface-plasmon resonance," Sens. Actuators B 5, 79-84 (1991).
    [Crossref]
  11. B. Liedberg, I. Lundstrom, and E. Stenberg, "Principles of biosensing with an extended coupling matrix and surface-plasmon resonance," Sens. Actuators B 11, 63-72 (1993).
    [Crossref]
  12. B. Liedberg, C. Nylander, and I. Lundstrom, "Biosensing with surface-plasmon resonance--how it all started," Biosens. Bioelectron. 10, R1-R9 (1995).
    [Crossref]
  13. J. R. Lakowicz, "Radiative decay engineering 3. Surface plasmon-coupled directional emission," Anal. Biochem. 324, 153-169 (2004).
    [Crossref]
  14. I. Gryczynski, J. Malicka, Z. Gryczynski, and J. R. Lakowicz, "Radiative decay engineering 4. Experimental studies of surface plasmon-coupled directional emission," Anal. Biochem. 324, 170-182 (2004).
    [Crossref]
  15. I. Gryczynski, J. Malicka, K. Nowaczyk, Z. Gryczynski, and J. R. Lakowicz, "Effects of sample thickness on the optical properties of surface plasmon-coupled emission," J. Phys. Chem. B 108, 12073-12083 (2004).
    [Crossref]
  16. W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
    [Crossref]
  17. C. J. R. Sheppard and S. Saghafi, "Electromagnetic Gaussian beams beyond the paraxial approximation," J. Opt. Soc. Am. A 16, 1381-1386 (1999).
  18. E. Heyman and L. B. Felsen, "Complex-source pulsed-beam fields," J. Opt. Soc. Am. A 6, 806-817 (1989).
  19. E. Heyman, V. Lomakin, and G. Kaiser, "Physical source realization of complex source pulsed beams," J. Acoust. Soc. Am. 107, 1880-1891 (2000).
    [Crossref]
  20. E. Heyman and L. B. Felsen, "Gaussian beam and pulsed-beam dynamics: complex-source and complex-spectrum formulations within and beyond paraxial asymptotics," J. Opt. Soc. Am. A 18, 1588-1611 (2001).
  21. R. Snieder, "Extracting the Green's function from the correlation of coda waves: a derivation based on stationary phase," Phys. Rev. E 69, 046610 (2004).
    [Crossref]
  22. J. Borejdo, N. Calander, Z. Gryczynski, and I. Gryczynski, "Fluorescence correlation spectroscopy in surface plasmon coupled emission microscope," Opt. Express 14, 7878-7888 (2006).
    [Crossref]
  23. J. Borejdo, Z. Gryczynski, N. Calander, P. Muthu, and I. Gryczynski, "Application of surface plasmon coupled emission to study of muscle," Biophys. J. 91, 2626-2635 (2006).
  24. Z. Gryczynski, J. Borejdo, N. Calander, E. G. Matweva, and I. Gryczynski, "Minimization of detection volume by surface-plasmon-coupled emission," Anal. Biochem. 356, 125-131 (2006).
  25. E.D.Palic, ed., Handbook of Optical Constants of Solids (Academic, 1985).

2006 (3)

J. Borejdo, N. Calander, Z. Gryczynski, and I. Gryczynski, "Fluorescence correlation spectroscopy in surface plasmon coupled emission microscope," Opt. Express 14, 7878-7888 (2006).
[Crossref]

J. Borejdo, Z. Gryczynski, N. Calander, P. Muthu, and I. Gryczynski, "Application of surface plasmon coupled emission to study of muscle," Biophys. J. 91, 2626-2635 (2006).

Z. Gryczynski, J. Borejdo, N. Calander, E. G. Matweva, and I. Gryczynski, "Minimization of detection volume by surface-plasmon-coupled emission," Anal. Biochem. 356, 125-131 (2006).

2005 (1)

N. Calander, "Surface plasmon-coupled emission and Fabry-Perot resonance in the sample layer: a theoretical approach," J. Phys. Chem. B 109, 13957-13963 (2005).

2004 (5)

J. R. Lakowicz, "Radiative decay engineering 3. Surface plasmon-coupled directional emission," Anal. Biochem. 324, 153-169 (2004).
[Crossref]

I. Gryczynski, J. Malicka, Z. Gryczynski, and J. R. Lakowicz, "Radiative decay engineering 4. Experimental studies of surface plasmon-coupled directional emission," Anal. Biochem. 324, 170-182 (2004).
[Crossref]

I. Gryczynski, J. Malicka, K. Nowaczyk, Z. Gryczynski, and J. R. Lakowicz, "Effects of sample thickness on the optical properties of surface plasmon-coupled emission," J. Phys. Chem. B 108, 12073-12083 (2004).
[Crossref]

N. Calander, "Theory and simulation of surface plasmon-coupled directional emission from fluorophores at planar structures," Anal. Chem. 76, 2168-2173 (2004).

R. Snieder, "Extracting the Green's function from the correlation of coda waves: a derivation based on stationary phase," Phys. Rev. E 69, 046610 (2004).
[Crossref]

2003 (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[Crossref]

2001 (1)

2000 (1)

E. Heyman, V. Lomakin, and G. Kaiser, "Physical source realization of complex source pulsed beams," J. Acoust. Soc. Am. 107, 1880-1891 (2000).
[Crossref]

1999 (2)

C. J. R. Sheppard and S. Saghafi, "Electromagnetic Gaussian beams beyond the paraxial approximation," J. Opt. Soc. Am. A 16, 1381-1386 (1999).

J. Homola, S. S. Yee, and G. Gauglitz, "Surface plasmon resonance sensors: review," Sens. Actuators B 54, 3-15 (1999).
[Crossref]

1998 (1)

C. J. R. Sheppard and S. Saghafi, "Beam modes beyond the paraxial approximation: a scalar treatment," Phys. Rev. A 57, 2971-2979 (1998).
[Crossref]

1995 (1)

B. Liedberg, C. Nylander, and I. Lundstrom, "Biosensing with surface-plasmon resonance--how it all started," Biosens. Bioelectron. 10, R1-R9 (1995).
[Crossref]

1993 (2)

B. Liedberg, I. Lundstrom, and E. Stenberg, "Principles of biosensing with an extended coupling matrix and surface-plasmon resonance," Sens. Actuators B 11, 63-72 (1993).
[Crossref]

E. Heyman, R. Strahilevitz, and D. Kosloff, "Pulsed-beam reflection and transmission at a planar interface--exact-solutions and local models," Wave Motion 18, 315-343 (1993).
[Crossref]

1991 (1)

S. Lofas, M. Malmqvist, I. Ronnberg, E. Stenberg, B. Liedberg, and I. Lundstrom, "Bioanalysis with surface-plasmon resonance," Sens. Actuators B 5, 79-84 (1991).
[Crossref]

1989 (1)

1985 (1)

M. Hashimoto, "Beam waves with sources at complex location," Electron. Lett. 21, 1096-1097 (1985).

1977 (1)

S. Y. Shin and L. B. Felsen, "Gaussian-beam modes by multipoles with complex source points," J. Opt. Soc. Am. A 67, 699-700 (1977).

1973 (1)

J. W. Ra, H. L. Bertoni, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396-413 (1973).
[Crossref]

1971 (1)

G. A. Deschamps, "Gaussian beam as a bundle of complex rays," Electron. Lett. 7, 684-685 (1971).
[Crossref]

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[Crossref]

Bertoni, H. L.

J. W. Ra, H. L. Bertoni, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396-413 (1973).
[Crossref]

Borejdo, J.

J. Borejdo, N. Calander, Z. Gryczynski, and I. Gryczynski, "Fluorescence correlation spectroscopy in surface plasmon coupled emission microscope," Opt. Express 14, 7878-7888 (2006).
[Crossref]

J. Borejdo, Z. Gryczynski, N. Calander, P. Muthu, and I. Gryczynski, "Application of surface plasmon coupled emission to study of muscle," Biophys. J. 91, 2626-2635 (2006).

Z. Gryczynski, J. Borejdo, N. Calander, E. G. Matweva, and I. Gryczynski, "Minimization of detection volume by surface-plasmon-coupled emission," Anal. Biochem. 356, 125-131 (2006).

Calander, N.

Z. Gryczynski, J. Borejdo, N. Calander, E. G. Matweva, and I. Gryczynski, "Minimization of detection volume by surface-plasmon-coupled emission," Anal. Biochem. 356, 125-131 (2006).

J. Borejdo, Z. Gryczynski, N. Calander, P. Muthu, and I. Gryczynski, "Application of surface plasmon coupled emission to study of muscle," Biophys. J. 91, 2626-2635 (2006).

J. Borejdo, N. Calander, Z. Gryczynski, and I. Gryczynski, "Fluorescence correlation spectroscopy in surface plasmon coupled emission microscope," Opt. Express 14, 7878-7888 (2006).
[Crossref]

N. Calander, "Surface plasmon-coupled emission and Fabry-Perot resonance in the sample layer: a theoretical approach," J. Phys. Chem. B 109, 13957-13963 (2005).

N. Calander, "Theory and simulation of surface plasmon-coupled directional emission from fluorophores at planar structures," Anal. Chem. 76, 2168-2173 (2004).

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[Crossref]

Deschamps, G. A.

G. A. Deschamps, "Gaussian beam as a bundle of complex rays," Electron. Lett. 7, 684-685 (1971).
[Crossref]

Ebbesen, T. W.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[Crossref]

Felsen, L. B.

E. Heyman and L. B. Felsen, "Gaussian beam and pulsed-beam dynamics: complex-source and complex-spectrum formulations within and beyond paraxial asymptotics," J. Opt. Soc. Am. A 18, 1588-1611 (2001).

E. Heyman and L. B. Felsen, "Complex-source pulsed-beam fields," J. Opt. Soc. Am. A 6, 806-817 (1989).

S. Y. Shin and L. B. Felsen, "Gaussian-beam modes by multipoles with complex source points," J. Opt. Soc. Am. A 67, 699-700 (1977).

J. W. Ra, H. L. Bertoni, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396-413 (1973).
[Crossref]

Gauglitz, G.

J. Homola, S. S. Yee, and G. Gauglitz, "Surface plasmon resonance sensors: review," Sens. Actuators B 54, 3-15 (1999).
[Crossref]

Gryczynski, I.

J. Borejdo, Z. Gryczynski, N. Calander, P. Muthu, and I. Gryczynski, "Application of surface plasmon coupled emission to study of muscle," Biophys. J. 91, 2626-2635 (2006).

J. Borejdo, N. Calander, Z. Gryczynski, and I. Gryczynski, "Fluorescence correlation spectroscopy in surface plasmon coupled emission microscope," Opt. Express 14, 7878-7888 (2006).
[Crossref]

Z. Gryczynski, J. Borejdo, N. Calander, E. G. Matweva, and I. Gryczynski, "Minimization of detection volume by surface-plasmon-coupled emission," Anal. Biochem. 356, 125-131 (2006).

I. Gryczynski, J. Malicka, Z. Gryczynski, and J. R. Lakowicz, "Radiative decay engineering 4. Experimental studies of surface plasmon-coupled directional emission," Anal. Biochem. 324, 170-182 (2004).
[Crossref]

I. Gryczynski, J. Malicka, K. Nowaczyk, Z. Gryczynski, and J. R. Lakowicz, "Effects of sample thickness on the optical properties of surface plasmon-coupled emission," J. Phys. Chem. B 108, 12073-12083 (2004).
[Crossref]

Gryczynski, Z.

Z. Gryczynski, J. Borejdo, N. Calander, E. G. Matweva, and I. Gryczynski, "Minimization of detection volume by surface-plasmon-coupled emission," Anal. Biochem. 356, 125-131 (2006).

J. Borejdo, Z. Gryczynski, N. Calander, P. Muthu, and I. Gryczynski, "Application of surface plasmon coupled emission to study of muscle," Biophys. J. 91, 2626-2635 (2006).

J. Borejdo, N. Calander, Z. Gryczynski, and I. Gryczynski, "Fluorescence correlation spectroscopy in surface plasmon coupled emission microscope," Opt. Express 14, 7878-7888 (2006).
[Crossref]

I. Gryczynski, J. Malicka, K. Nowaczyk, Z. Gryczynski, and J. R. Lakowicz, "Effects of sample thickness on the optical properties of surface plasmon-coupled emission," J. Phys. Chem. B 108, 12073-12083 (2004).
[Crossref]

I. Gryczynski, J. Malicka, Z. Gryczynski, and J. R. Lakowicz, "Radiative decay engineering 4. Experimental studies of surface plasmon-coupled directional emission," Anal. Biochem. 324, 170-182 (2004).
[Crossref]

Hashimoto, M.

M. Hashimoto, "Beam waves with sources at complex location," Electron. Lett. 21, 1096-1097 (1985).

Heyman, E.

E. Heyman and L. B. Felsen, "Gaussian beam and pulsed-beam dynamics: complex-source and complex-spectrum formulations within and beyond paraxial asymptotics," J. Opt. Soc. Am. A 18, 1588-1611 (2001).

E. Heyman, V. Lomakin, and G. Kaiser, "Physical source realization of complex source pulsed beams," J. Acoust. Soc. Am. 107, 1880-1891 (2000).
[Crossref]

E. Heyman, R. Strahilevitz, and D. Kosloff, "Pulsed-beam reflection and transmission at a planar interface--exact-solutions and local models," Wave Motion 18, 315-343 (1993).
[Crossref]

E. Heyman and L. B. Felsen, "Complex-source pulsed-beam fields," J. Opt. Soc. Am. A 6, 806-817 (1989).

Homola, J.

J. Homola, S. S. Yee, and G. Gauglitz, "Surface plasmon resonance sensors: review," Sens. Actuators B 54, 3-15 (1999).
[Crossref]

Kaiser, G.

E. Heyman, V. Lomakin, and G. Kaiser, "Physical source realization of complex source pulsed beams," J. Acoust. Soc. Am. 107, 1880-1891 (2000).
[Crossref]

Kosloff, D.

E. Heyman, R. Strahilevitz, and D. Kosloff, "Pulsed-beam reflection and transmission at a planar interface--exact-solutions and local models," Wave Motion 18, 315-343 (1993).
[Crossref]

Lakowicz, J. R.

I. Gryczynski, J. Malicka, Z. Gryczynski, and J. R. Lakowicz, "Radiative decay engineering 4. Experimental studies of surface plasmon-coupled directional emission," Anal. Biochem. 324, 170-182 (2004).
[Crossref]

J. R. Lakowicz, "Radiative decay engineering 3. Surface plasmon-coupled directional emission," Anal. Biochem. 324, 153-169 (2004).
[Crossref]

I. Gryczynski, J. Malicka, K. Nowaczyk, Z. Gryczynski, and J. R. Lakowicz, "Effects of sample thickness on the optical properties of surface plasmon-coupled emission," J. Phys. Chem. B 108, 12073-12083 (2004).
[Crossref]

Liedberg, B.

B. Liedberg, C. Nylander, and I. Lundstrom, "Biosensing with surface-plasmon resonance--how it all started," Biosens. Bioelectron. 10, R1-R9 (1995).
[Crossref]

B. Liedberg, I. Lundstrom, and E. Stenberg, "Principles of biosensing with an extended coupling matrix and surface-plasmon resonance," Sens. Actuators B 11, 63-72 (1993).
[Crossref]

S. Lofas, M. Malmqvist, I. Ronnberg, E. Stenberg, B. Liedberg, and I. Lundstrom, "Bioanalysis with surface-plasmon resonance," Sens. Actuators B 5, 79-84 (1991).
[Crossref]

Lofas, S.

S. Lofas, M. Malmqvist, I. Ronnberg, E. Stenberg, B. Liedberg, and I. Lundstrom, "Bioanalysis with surface-plasmon resonance," Sens. Actuators B 5, 79-84 (1991).
[Crossref]

Lomakin, V.

E. Heyman, V. Lomakin, and G. Kaiser, "Physical source realization of complex source pulsed beams," J. Acoust. Soc. Am. 107, 1880-1891 (2000).
[Crossref]

Lundstrom, I.

B. Liedberg, C. Nylander, and I. Lundstrom, "Biosensing with surface-plasmon resonance--how it all started," Biosens. Bioelectron. 10, R1-R9 (1995).
[Crossref]

B. Liedberg, I. Lundstrom, and E. Stenberg, "Principles of biosensing with an extended coupling matrix and surface-plasmon resonance," Sens. Actuators B 11, 63-72 (1993).
[Crossref]

S. Lofas, M. Malmqvist, I. Ronnberg, E. Stenberg, B. Liedberg, and I. Lundstrom, "Bioanalysis with surface-plasmon resonance," Sens. Actuators B 5, 79-84 (1991).
[Crossref]

Malicka, J.

I. Gryczynski, J. Malicka, Z. Gryczynski, and J. R. Lakowicz, "Radiative decay engineering 4. Experimental studies of surface plasmon-coupled directional emission," Anal. Biochem. 324, 170-182 (2004).
[Crossref]

I. Gryczynski, J. Malicka, K. Nowaczyk, Z. Gryczynski, and J. R. Lakowicz, "Effects of sample thickness on the optical properties of surface plasmon-coupled emission," J. Phys. Chem. B 108, 12073-12083 (2004).
[Crossref]

Malmqvist, M.

S. Lofas, M. Malmqvist, I. Ronnberg, E. Stenberg, B. Liedberg, and I. Lundstrom, "Bioanalysis with surface-plasmon resonance," Sens. Actuators B 5, 79-84 (1991).
[Crossref]

Matweva, E. G.

Z. Gryczynski, J. Borejdo, N. Calander, E. G. Matweva, and I. Gryczynski, "Minimization of detection volume by surface-plasmon-coupled emission," Anal. Biochem. 356, 125-131 (2006).

Muthu, P.

J. Borejdo, Z. Gryczynski, N. Calander, P. Muthu, and I. Gryczynski, "Application of surface plasmon coupled emission to study of muscle," Biophys. J. 91, 2626-2635 (2006).

Nowaczyk, K.

I. Gryczynski, J. Malicka, K. Nowaczyk, Z. Gryczynski, and J. R. Lakowicz, "Effects of sample thickness on the optical properties of surface plasmon-coupled emission," J. Phys. Chem. B 108, 12073-12083 (2004).
[Crossref]

Nylander, C.

B. Liedberg, C. Nylander, and I. Lundstrom, "Biosensing with surface-plasmon resonance--how it all started," Biosens. Bioelectron. 10, R1-R9 (1995).
[Crossref]

Ra, J. W.

J. W. Ra, H. L. Bertoni, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396-413 (1973).
[Crossref]

Ronnberg, I.

S. Lofas, M. Malmqvist, I. Ronnberg, E. Stenberg, B. Liedberg, and I. Lundstrom, "Bioanalysis with surface-plasmon resonance," Sens. Actuators B 5, 79-84 (1991).
[Crossref]

Saghafi, S.

C. J. R. Sheppard and S. Saghafi, "Electromagnetic Gaussian beams beyond the paraxial approximation," J. Opt. Soc. Am. A 16, 1381-1386 (1999).

C. J. R. Sheppard and S. Saghafi, "Beam modes beyond the paraxial approximation: a scalar treatment," Phys. Rev. A 57, 2971-2979 (1998).
[Crossref]

Sheppard, C. J. R.

C. J. R. Sheppard and S. Saghafi, "Electromagnetic Gaussian beams beyond the paraxial approximation," J. Opt. Soc. Am. A 16, 1381-1386 (1999).

C. J. R. Sheppard and S. Saghafi, "Beam modes beyond the paraxial approximation: a scalar treatment," Phys. Rev. A 57, 2971-2979 (1998).
[Crossref]

Shin, S. Y.

S. Y. Shin and L. B. Felsen, "Gaussian-beam modes by multipoles with complex source points," J. Opt. Soc. Am. A 67, 699-700 (1977).

Snieder, R.

R. Snieder, "Extracting the Green's function from the correlation of coda waves: a derivation based on stationary phase," Phys. Rev. E 69, 046610 (2004).
[Crossref]

Stenberg, E.

B. Liedberg, I. Lundstrom, and E. Stenberg, "Principles of biosensing with an extended coupling matrix and surface-plasmon resonance," Sens. Actuators B 11, 63-72 (1993).
[Crossref]

S. Lofas, M. Malmqvist, I. Ronnberg, E. Stenberg, B. Liedberg, and I. Lundstrom, "Bioanalysis with surface-plasmon resonance," Sens. Actuators B 5, 79-84 (1991).
[Crossref]

Strahilevitz, R.

E. Heyman, R. Strahilevitz, and D. Kosloff, "Pulsed-beam reflection and transmission at a planar interface--exact-solutions and local models," Wave Motion 18, 315-343 (1993).
[Crossref]

Yee, S. S.

J. Homola, S. S. Yee, and G. Gauglitz, "Surface plasmon resonance sensors: review," Sens. Actuators B 54, 3-15 (1999).
[Crossref]

Anal. Biochem. (3)

J. R. Lakowicz, "Radiative decay engineering 3. Surface plasmon-coupled directional emission," Anal. Biochem. 324, 153-169 (2004).
[Crossref]

I. Gryczynski, J. Malicka, Z. Gryczynski, and J. R. Lakowicz, "Radiative decay engineering 4. Experimental studies of surface plasmon-coupled directional emission," Anal. Biochem. 324, 170-182 (2004).
[Crossref]

Z. Gryczynski, J. Borejdo, N. Calander, E. G. Matweva, and I. Gryczynski, "Minimization of detection volume by surface-plasmon-coupled emission," Anal. Biochem. 356, 125-131 (2006).

Anal. Chem. (1)

N. Calander, "Theory and simulation of surface plasmon-coupled directional emission from fluorophores at planar structures," Anal. Chem. 76, 2168-2173 (2004).

Biophys. J. (1)

J. Borejdo, Z. Gryczynski, N. Calander, P. Muthu, and I. Gryczynski, "Application of surface plasmon coupled emission to study of muscle," Biophys. J. 91, 2626-2635 (2006).

Biosens. Bioelectron. (1)

B. Liedberg, C. Nylander, and I. Lundstrom, "Biosensing with surface-plasmon resonance--how it all started," Biosens. Bioelectron. 10, R1-R9 (1995).
[Crossref]

Electron. Lett. (2)

G. A. Deschamps, "Gaussian beam as a bundle of complex rays," Electron. Lett. 7, 684-685 (1971).
[Crossref]

M. Hashimoto, "Beam waves with sources at complex location," Electron. Lett. 21, 1096-1097 (1985).

J. Acoust. Soc. Am. (1)

E. Heyman, V. Lomakin, and G. Kaiser, "Physical source realization of complex source pulsed beams," J. Acoust. Soc. Am. 107, 1880-1891 (2000).
[Crossref]

J. Opt. Soc. Am. A (4)

J. Phys. Chem. B (2)

N. Calander, "Surface plasmon-coupled emission and Fabry-Perot resonance in the sample layer: a theoretical approach," J. Phys. Chem. B 109, 13957-13963 (2005).

I. Gryczynski, J. Malicka, K. Nowaczyk, Z. Gryczynski, and J. R. Lakowicz, "Effects of sample thickness on the optical properties of surface plasmon-coupled emission," J. Phys. Chem. B 108, 12073-12083 (2004).
[Crossref]

Nature (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[Crossref]

Opt. Express (1)

Phys. Rev. A (1)

C. J. R. Sheppard and S. Saghafi, "Beam modes beyond the paraxial approximation: a scalar treatment," Phys. Rev. A 57, 2971-2979 (1998).
[Crossref]

Phys. Rev. E (1)

R. Snieder, "Extracting the Green's function from the correlation of coda waves: a derivation based on stationary phase," Phys. Rev. E 69, 046610 (2004).
[Crossref]

Sens. Actuators B (3)

J. Homola, S. S. Yee, and G. Gauglitz, "Surface plasmon resonance sensors: review," Sens. Actuators B 54, 3-15 (1999).
[Crossref]

S. Lofas, M. Malmqvist, I. Ronnberg, E. Stenberg, B. Liedberg, and I. Lundstrom, "Bioanalysis with surface-plasmon resonance," Sens. Actuators B 5, 79-84 (1991).
[Crossref]

B. Liedberg, I. Lundstrom, and E. Stenberg, "Principles of biosensing with an extended coupling matrix and surface-plasmon resonance," Sens. Actuators B 11, 63-72 (1993).
[Crossref]

SIAM J. Appl. Math. (1)

J. W. Ra, H. L. Bertoni, and L. B. Felsen, "Reflection and transmission of beams at a dielectric interface," SIAM J. Appl. Math. 24, 396-413 (1973).
[Crossref]

Wave Motion (1)

E. Heyman, R. Strahilevitz, and D. Kosloff, "Pulsed-beam reflection and transmission at a planar interface--exact-solutions and local models," Wave Motion 18, 315-343 (1993).
[Crossref]

Other (1)

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

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Figures (2)

Fig. 1
Fig. 1

Focused beam with axis along a. The far-field intensity is shown by the polar plot. It is log-scaled with five powers of ten between the concentric circles. The measure of the divergence is given by the full width at half maximum (FWHM) of the far field, which in this case is 30°. The solid curve shows the far-field intensity for the outgoing wave and the dashed for the incoming.

Fig. 2
Fig. 2

An optical beam is focused onto a silver layer or layers such that surface plasmons are created. The vacuum wavelength is 0.6 μ m . The thickness of the silver layer(s) is 50 nm . Beneath the silver the refractive index is 1.5 and above it is 1.0. The refractive index between the silver layers is 1.5, and the spacing between them is 185 nm . The complex refractive index of the silver is taken from [25]. At the wavelength 0.6 μ m it is n = 0.124 + 3.73 i . The focusing angle is 30° (FWHM of intensity). Angle of incidence to the silver layer(s) is 45°. The white crosses show the positions of the focal points. The electric field component plotted is the one normal to the silver layer. (a) One silver layer and the focal point above it. The arrows show the direction of propagation. Surface plasmons are created. (b) The field just above the silver layer. The surface plasmons are created near the focal point and travel in the direction of the arrow. (c) A multilayered structure with the focal point beneath it. Surface plasmons are coupled to the field and between the layers all the way to the top layer. (d) This panel shows the field just above the top silver layer. The amplitudes of the panels are scaled individually.

Equations (4)

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4 π d Ω k e i k r = 2 π e i k r i k r 2 π e i k r i k r = 4 π sin ( k r ) k r ,
4 π d Ω k e i k r e k ̂ a = 4 π d Ω k e i k ( r i a k ) ,
4 π d Ω k e i k r e k ̂ a = 2 π e i k r i k r e r ̂ a + 2 π e i k r i k r e r ̂ a + O ( 1 r 2 ) .
4 π d Ω k e i k r w ( k ̂ ) = 2 π e i k r i k r w ( r ̂ ) + 2 π e i k r i k r w ( r ̂ ) + O ( 1 r 2 ) .

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