Finite Element simulation of radiation losses in photonic crystal fibers

TL;DR

This paper presents an advanced finite element method for accurately simulating light propagation and radiation losses in finite photonic crystal fibers, enabling optimized design and analysis of these structures.

Contribution

It introduces the use of high-order FEM, transparent boundary conditions, and goal-oriented error estimators for efficient and precise modeling of radiation leakage in photonic crystal fibers.

Findings

Fast convergence of the method allows effective optimization of fiber designs.

Accurate computation of radiation leakage and attenuation spectra.

Facilitates design improvements to minimize losses.

Abstract

In our work we focus on the accurate computation of light propagation in finite size photonic crystal structures with the finite element method (FEM). We discuss how we utilize numerical concepts like high-order finite elements, transparent boundary conditions and goal-oriented error estimators for adaptive grid refinement in order to compute radiation leakage in photonic crystal fibers and waveguides. Due to the fast convergence of our method we can use it e.g. to optimize the design of photonic crystal structures with respect to geometrical parameters, to minimize radiation losses and to compute attenutation spectra for different geometries.