Modeling of Fiber Optic Gold SPR Sensor Using Different Dielectric Function Models: A Comparative Study

Abstract

The performance of surface plasmon resonance (SPR) sensors has great dependence on its plasmonic material’s frequency response, which is described by the complex dielectric function. Through history, researchers developed and enhanced mathematical models to accurately describe the material dielectric function. Although many papers compared the accuracy of different dielectric function models and stated its limitations, none of it addressed the effect of dielectric function model on the SPR sensor’s characteristics. In this paper, we investigated the performance of the three most used dielectric function models (Drude, Lorentz-Drude, and Brendel-Bormann) and their effect on the theoretically obtained sensor parameters when used in a gold SPR sensor’s model and validated it with the experimentally measured dielectric function. The result showed that using less accurate dielectric function’s model has a drastic effect on the theoretically obtained sensor’s parameters. Among the three models, the widely used Drude model was not the most accurate; alternatively, Brendel-Bormann model was the most accurate.