Analysis for Field Distribution in Optical Waveguide Using Linear FEM Method

Abstract

Typically, fiber optic is defined as an optical frequency-operating dielectric waveguide. Light is created when electric energy is condensed. The path of the optical fibre is perpendicular to the direction of the light. The study of the propagation properties of circular waveguides with random refractive index profiles has recently piqued the interest of numerous researchers. To maximize optical waveguide performance, it is important to comprehend propagation qualities, field distribution, and how they relate to production factors. Computer analysis is becoming more and more required as the variety of guiding structures and the reliant parameters grows and becomes more complex. Consequently, theoretical approaches to waveguide analysis are very intriguing. The Finite Element Method is used to investigate waveguide issues in all dimensions in a complex and thorough manner (FEM). The approach presented in this project can be used to determine an optical fibre's propagation modes. We can obtain a variety of field and contour distributions for modes like LP 01 mode and LP 21 mode by varying the values of core radius "a." The Maxwell equation is reduced to a standard Eigenvalue equation with symmetric tri-diagonal matrices in the study utilizing the finite element method