Application of a new vector mode solver to optical fiber-based plasmonic sensors

Abstract

Our analytical method uses a linear combination of the Hankel functions [Formula: see text] and [Formula: see text] to represent the field in the gold region of a fiber-based plasmonic sensor. This method is applied for different structures made from three, four and five layers. When the analyte is distilled water, the difference between the resonant wavelengths calculated with the finite element method and the analytical method is very small (0.00 nm for three layers, 0.19 nm for four layers and 0.07 nm for five layers with two gold layers). The important characteristics of the Bessel and Hankel functions at the loss matching point are analyzed.