Application of the FD-TD method to the analysis of circuits described by the two-dimensional vector wave equation

Gwarek, W.; Morawski, T.; Mroczkowski, C.

doi:10.1109/22.216473

Cited by 38 publications

(17 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1). Assuming that the geometry of the fiber does not change along a fiber's principal axis, the problem can be reduced to a vector two-dimensional one (V2D), solvable at a plane transverse to the propagation with an analytically imposed longitudinal phase shift (Gwarek et al 1993):…”

Section: Electromagnetic Analysis Of Pcfmentioning

confidence: 99%

See 1 more Smart Citation

FDTD analysis of modal dispersive properties of nonlinear photonic crystal fibers

et al. 2014

View full text Add to dashboard Cite

This paper presents a full-wave electromagnetic analysis of soft-glass photonic crystal fibers developed for the generation of supercontinuum based on third-order nonlinearity. It is shown that a two-dimensional finite-difference time-domain method for guided problems provides results very similar to the measurement data of real fiber structures, enabling the reduction of costly hardware prototyping, thus, opening the way for the application of FDTD to the modeling of nonlinear optical processes.

show abstract

Section: Electromagnetic Analysis Of Pcfmentioning

confidence: 99%

“…In this paper, a two-dimensional FDTD method developed for guided problems (Gwarek et al 1993) is applied in a design cycle of PCFs (Salski et al 2010). The performance of the method is validated against the FDFD method as another widely applicable tool in computational electromagnetics.…”

mentioning

confidence: 99%

FDTD analysis of modal dispersive properties of nonlinear photonic crystal fibers

et al. 2014

View full text Add to dashboard Cite

show abstract

“…Assuming that a PhC structure is expanded to infinity along the x-axis, the problem belongs to a so-called vector 2D class (Gwarek et al, 1993). However, it may frequently be simplified even further to a scalar 2D class, restricting a wave vector k to a PhC plane (yz-plane in Fig.1).…”

Section: Introductionmentioning

confidence: 99%

On the Applicability of Photonic Crystal Membranes to Multi-Channel Propagation

Salski¹,

Lesniewska-Matys²,

Szczepanski³

2012

Photonic Crystals - Innovative Systems, Lasers and Waveguides

View full text Add to dashboard Cite

“…In the case of V2D-FDTD (Gwarek et al 1993), the mode analysis can account for material dispersion represented as a multi-pole Lorentz model implemented with the aid of auxiliary differential equations (ADE) (Taflove and Hagness 2005). Recently, it has been shown that V2D-FDTD can also solve for third-order nonlinear Kerr-Raman effects, which allows studying the impact of pulse intensity on a dispersion characteristic of the mode propagating in a photonic crystal fiber (Salski et al 2015).…”

Section: Introductionmentioning

confidence: 99%

Computationally-efficient FDTD modeling of supercontinuum generation in photonic crystal fibers

et al. 2016

View full text Add to dashboard Cite

It is shown in this paper that a finite-difference time-domain method can be successfully applied to rigorous electromagnetic analysis of supercontinuum generation in photonic crystal fibers. Large computational requirements of the method are alleviated by the use of a hybrid procedure where, at first, vector two-dimensional simulation is applied in order to determine mode properties of the fiber. Subsequently, one-dimensional simulation of a pulse propagating in a transmission line filled with effective material is performed. The parameters of the line take into account nonlinear characteristics of the filling material as well as the previously computed mode dispersion. It is depicted that the proposed novel hybrid approach opens the way for rigorous, yet, computationally-efficient modeling of third order nonlinear processes in optically long fibers. The example investigated in this paper shows very promising results as compared with experiments and approximate numerical simulations of a nonlinear Schrodinger equation performed with the aid of the split-step Fourier method.

show abstract

Application of the FD-TD method to the analysis of circuits described by the two-dimensional vector wave equation

Cited by 38 publications

References 15 publications

FDTD analysis of modal dispersive properties of nonlinear photonic crystal fibers

FDTD analysis of modal dispersive properties of nonlinear photonic crystal fibers

On the Applicability of Photonic Crystal Membranes to Multi-Channel Propagation

Computationally-efficient FDTD modeling of supercontinuum generation in photonic crystal fibers

Contact Info

Product

Resources

About