Analysis of the Discontinuous Petrov Galerkin Method as a Transverse Mode Solver for Optical Fibers in Conjunction with Gerneralized Polynomial Chaos Theory

Abstract

This project originally focused on the further development of the discontinuous Petrov Galerkin (DPG) Finite Element Method (FEM) for the purpose of modeling optical fiber amplifier guided mode data, and including an uncertainty quantification analysis of this numerically calculated data, first considering the Generalized Polynomial Chaos (gPC) approach[1,2]. The main thrust of this project later evolved into developing the mathematical theory behind, and building a robust and versatile computer model for finding, optical fiber guided modes (and associated mode data) using any suitable finite element discretization in conjunction with the FEAST (fast eigensolver) algorithm (a numerical eigensolver technique). Furthermore, the project aimed to resolve issues with finding the correct mode loss values for imperfectly guided fibers and/or coiled fibers. The UT participation in this effort has always been mostly about consultation on the mathematical theory and implementation that eventually leads to the eigensolver (optical mode solver) tool.

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Document Details

Document Type
Technical Report
Publication Date
May 13, 2021
Accession Number
AD1141536

Entities

People

  • Leszek F. Demkowicz

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Applied Mathematics
  • Computational Science
  • Contour Integrals
  • Contracts
  • Crystal Lattice Vibrations
  • Engineering
  • Finite Element Analysis
  • Geometry
  • Government Procurement
  • Governments
  • Mathematics
  • Nonlinear Dynamics
  • Optical Fibers
  • Simulations
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Microwave Engineering.
  • Optical Fiber Sensing and Electromagnetic Propagation.