Analysis of Novel Chirped Types of Refractive Index Profile Metamaterial Planar Slab Optical Waveguide by Finite-Element Method for Sensor Application

Abstract

In this paper, a finite element method (FEM) has been applied to estimate the power confinement properties for a highly complicated linear chirp types of metamaterial planar slab waveguide. The accuracy of the method has been tested with respect to the number of core division into FEM formulations. The solution converges well for only 30 core divisions. In the beginning of the paper we compute the power confinement factor, power flow in the core/cladding region for the case of normal -profile and normal chirped type of profile respectively. Then we compute the effective refractive index of metamaterial planar slab waveguide for the various cases. We try to establish the relation between leakage power loss factors versus normalized frequency. To obtain the accurate expressions we derive the higher order polynomials. It has been found while analyzing that metamaterial slab waveguide has a special feature for better sensing capability like flat effective refractive index over the band, large power flow into cladding region etc. It is expected that meta-material planar slab waveguide having chirped types of refractive profile has a huge application in leaky fibre sensor, gas sensor, chemical sensor for oil and under grounds mining industries.Index Terms-Chirp Type's refractive index profile, power confinement factor, attenuation coefficient, finite element method (FEM) 1530-437X (c)

Modeling of single mode optical fiber having a complicated refractive index profile by using modified scalar finite element method

“…In this paper the objective is to compare the circular core fiber case with planar slab waveguide case. This is because the coordinates are different but the wave equation is same for both the cases [32][33][34]. Hence the validity of the results can be established better.…”

“…Now here we define a variety of more complicated than previous case a generalized linear chirp type refractive index profile and is defined as [31][32],…”