Strong light-matter interaction is gaining much interest, particularly in plasmonic systems. Plasmonics offers a suitable platform to utilize strong coupling conveniently due to its ability to confine light to a subwavelength regime. Under a strong coupling regime, new hybrid states are formed that have properties of both light and matter. The properties of the hybrid states are fascinating and are worth investigating. In this study, we report a novel computational method to determine the propagation length of Surface Plasmon Polaritons (SPPs) on a metal-dielectric interface using COMSOL Multiphysics in the Kretschmann configuration. We show that the propagation length of SPPs depends on the wavelength and the imaginary part of the refractive index of the metal on which these plasmons are travelling. We also demonstrate the changes in the propagation length as we enter the strong coupling regime. When a thin gold film is coated with absorber material, it forms hybrid states of SPPs and the absorber material. In these hybrid states, the propagation length changes significantly. The decay of hybrid polariton contains both the properties of SPPs and the absorber material. Our study shows a numerical approach to calculate the propagation length of SPPs. This approach also extends its utility to experimental measurements of the propagation length, particularly in 2D materials like MoS2.
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