Surface plasmon polariton propagation near an index step

Tamara A. Leskova; Alexei A. Maradudin; Wolfgang Zierau

doi:10.1117/12.401646

26 September 2000 Surface plasmon polariton propagation near an index step

Tamara A. Leskova, Alexei A. Maradudin, Wolfgang Zierau

Proceedings Volume 4100, Scattering and Surface Roughness III; (2000) https://doi.org/10.1117/12.401646
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

In this work we study theoretically the scattering of p-polarized light of frequency (omega) from a system consisting of a dielectric medium (prism) characterized by a dielectric constant (epsilon) ₀ in the region x₃ $GTR D; a metal film characterized by a complex, frequency-dependent dielectric function(epsilon) ₁((omega) ) in the region 0 < x₃ < D; a dielectric film characterized by a dielectric constant (epsilon) ₂ in the region (zetz) (x₁) < x- 3) < 0; and vacuum ((epsilon) ₃ equals 1) in the region x₃ < (zetz) (x₁). The light whose plane of incidence is the x₁x₃- plane, in incident through the prism. For the surface profile function (zetz) (x₁) we take the form (zetz) (x₁) equals -d(theta) (x₁)(theta) (L-x(₁), where (theta) (x₁) is the Heaviside unit step function. Thus we have a dielectric film thickness d and dielectric constant (epsilon) ₂ covering the half of the lower surface (x₃ equals 0) of the metal film defined by x₁$GTR0, or a dielectric film of thickness d and dielectric constant (epsilon) ₂ covering the part of the lower surface (x₃ equals 0) of the metal film defined by 0 < x₁ < L. The reduced Rayleigh equation for the amplitude of the light scattered back into the prism, R(qk), is obtained, and solved by the Wiener-Hopf method, and the result is used to calculate the intensity of the scattered field in the far field region as a function of x₁ for a fixed value of x₃ for several values of the wavelength of the incident light. The results provide information about the scattering of the surface plasmon polariton at the metal-vacuum interface, excited by the incident light, by an index step on that interface. A brief discussion of the transmission of light through this system is also given.

Citation Download Citation

Tamara A. Leskova, Alexei A. Maradudin, and Wolfgang Zierau "Surface plasmon polariton propagation near an index step", Proc. SPIE 4100, Scattering and Surface Roughness III, (26 September 2000); https://doi.org/10.1117/12.401646

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