Finite Element Simulation of Radiation Losses in Photonic Crystal Fibers

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.

Advanced finite-element methods for design and analysis of nanooptical structures: applications

“…This enables a variety of scientific and industrial fields, e.g., frequency-comb-generation, supercontinuumgeneration, guidance of ultrashort pulses, advanced fiber lasers, and others. In this field, JCMsuite is used to investigate new physical effects in PCFs, 16,17,32,[56][57][58] to design PCF for specific functionalities, [59][60][61][62][63][64][65][66][67][68][69][70] and for further applications.…”

Adaptive finite element method for simulation of optical nano structures

“…10 Application: Optimization of photonic crystal fiber design In the last section we want to apply the finite element method to the computation of propagating modes in hollow core photonic crystal fibers (HCPCFs) [5,12,4]. The results which are presented here are a summary of our work published in [10,11,15]. The computational domain and triangulation of a HCPCF was already shown in Fig.…”

“…Fig. 9 shows the convergence of the real and imaginary part of the effective refractive index for an uniform and adaptive grid refinement strategy and different finite element degrees [11]. For both refinement strategies the real part converges very fast the imaginary part is much harder to compute [1].…”

Numerical investigation of photonic crystal microcavities in silicon-on-insulator waveguides

“…For simulating transmission through the microcavity at specific wavelength λ 0 , we first compute the fundamental propagation mode of the waveguide at λ 0 using a FEM propagating mode solver. 8 The obtained mode field is applied as input data to one of the boundaries of the 3D computational domain (left boundary in Fig. 1), such that the mode propagates in direction of the center of the waveguide.…”