Deduction of Electric Field Module in a Multilayer of Isotropic Materials to Detect Surface Plasmons with a Graphical User Interface

B Garibello,Y Martín

doi:10.1590/2179-10742021v20i1927

Abstract

Abstract Electric field module for any isotropic multilayer thin film structure, is presented as analytical deduction. Analytic expressions for the electric field distribution are developed initially for a monolayer isotropic system based on Airy's formulae and boundary conditions, with an incident monochromatic source of light. The transfer matrix method 2×2, is used to deduce the distribution of the forward and backward electric field amplitudes on the inner layers in a general multilayer thin film structure. Analytical results are simulated in Transverse-Magnetic (TM) and Transverse-Electric (TE) modes making evident (when takes place) an electric field enhancement due to surface plasmons resonance. A graphical user interface is created to make steady simulations and create new structures as desired, minimizing time and optimizing resources.

Highlights

Light propagation over multilayer thin film structures have been widely studied in optics [1] - [2], applied physics [3] - [4], bio-sensing [5] - [6] and applied electromagnetism [7] - [8]
Simulations from theoretical expressions deduced in the preceding section will exhibit behaviour of optical functions and electric field module
CONCLUDING REMARKS On this paper was carried out the analytical deductions for total electric field module for monolayer system, based on the Airy’s equations

Summary

Introduction

Light propagation over multilayer thin film structures have been widely studied in optics [1] - [2] , applied physics [3] - [4] , bio-sensing [5] - [6] and applied electromagnetism [7] - [8]. This article presents an analytical deduction of electric field module in multilayer systems of isotropic layered thin film media, a graphical user interface (GUI) is designed to plot optical functions of reflectance, transmittance and absorptance depending on the incidence angle of a monochromatic source of light. Optical functions were found from a general problem of propagation of light on isotropic multilayer systems using Yeh’s matrix transfer method [13].

Methods

Results

Conclusion