We consider filtered subspace iteration for approximating a cluster of eigenvalues (and its
associated eigenspace) of a (possibly unbounded) selfadjoint operator in a Hilbert space …

An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a
polynomial eigenproblem, circumventing certain large inversions from a linearization, is …

This work uses numerical simulations of a thulium-doped optical fiber amplifier to predict
various performance characteristics such as peak temperatures, expected output powers …

Electromagnetic wave propagation in optical fiber amplifiers obeys Maxwell equations.
Using coupled mode theory, the full Maxwell system within an optical fiber amplifier is …

We introduce an approach for exploring eigenvector localization phenomena for a class of
(unbounded) selfadjoint operators. More specifically, given a target region and a tolerance …

Let Ω⊂ ℝ d and consider the magnetic Laplace operator given by H (A)=(–i∇–A (x)) 2,
where A: Ω→ ℝ d, subject to Dirichlet boundary conditions. For certain vector fields A, this …

We discuss a quartic eigenvalue problem arising in the context of an optical waveguiding
problem involving atomically thick 2D materials. The waveguide configuration we consider …

In this work, the finite element method and the FEAST eigensolver are used to explore
applications in fiber optics. The present interest is in computing eigenfunctions u and …

Numerical Techniques and Simulations for Studying Various High Power Optical Fiber Amplifiers,
Particularly for Ytterbium (Yb+3) Page 1 Numerical Techniques and Simulations for Studying …

This thesis develops numerical frameworks for the simulation of light-guiding structures
involving atomically thin 2D materials. Particular electromagnetic waves of interest are the …