Paper
26 September 2000 Surface plasmon polariton propagation near an index step
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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.
© (2000) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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Cited by 5 scholarly publications.
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KEYWORDS
Dielectrics

Metals

Surface plasmon polaritons

Light scattering

Prisms

Scattering

Interfaces

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