Abstract

We propose an exact design, analysis, and visualization method for multiple surface plasmon resonance (MSPR) mode excitation phenomena for a structure composed of an optimized-thickness polymethyl-methacrylate layer and a gold thin-film layer. The proposed simulation method is based on a recursive transfer matrix method (R-TMM) and Gaussian angular spectrum decomposition. Our method illustrates, under the Kretchmann-Raether attenuated total reflection (ATR) geometry, the response for an angle-modulated Gaussian incident beam. To verify the simulation results we also performed experiments to excite MSPR modes under the ATR geometry. Our fast and exact R-TMM with the Gaussian angular spectrum method can be widely applied to the design and analysis of metal- and dielectric-composed thin film structures.

Highlights

  • Surface plasmon is an electromagnetic surface-bound wave (p-polarized, transverse-magnetic), propagating along the interface between metal and dielectric layers

  • The surface plasmon resonance (SPR) detection system can be implemented by the most common Kretschmann-Raether attenuated total reflection (ATR) coupling system, in which a thin metal film is attached to a prism with a relatively high refractive index

  • The light passes through the prism, at an angle of incidence greater than the critical angle for the prism, which means that total reflection occurs at the prism-metal interface

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Summary

Introduction

Surface plasmon is an electromagnetic surface-bound wave (p-polarized, transverse-magnetic), propagating along the interface between metal and dielectric layers. The bound wave has an evanescent field, which decays exponentially perpendicular to the surface It can be produced by photons in the well-known Kretchmann-Raether attenuated total reflection (ATR) device. We take the recursive transfer matrix method (R-TMM) approach with angular spectrum decomposition to analyze and visualize the excited multiple surface plasmon resonance (MSPR) phenomena on the gold (Au) thin-film layer with a polymethyl-methacrylate (PMMA) dielectric layer. The SPR simulation has been done for uniform plane wave inputs To our knowledge, this is the first time to propose an efficient method to analyze and visualize Gaussian input beam case. This is the first time to propose an efficient method to analyze and visualize Gaussian input beam case We especially discuss it with the MSPR structure – the topic which has not been much discussed yet

Analytic solution of the SPR
R-TMM visualization with a Gaussian angular spectrum decomposition method
Experimental results and discussion
Conclusions
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