Three-dimensional beam propagation analysis of nonlinear optical fibers and optical logic gates

Niiyama, Akira; Koshiba, Masanori

doi:10.1109/50.654999

Cited by 17 publications

(10 citation statements)

References 16 publications

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“…However, since the Gauss-Legendre numerical integration formula [8] derived by Hammer and colleagues for the triangular elements is used, these matrices [K] and [M] can be computed in a form in which the refractive index variations in the element can be directly reflected.…”

Section: Finite-difference Methods and Iterative Methodsmentioning

confidence: 99%

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Full‐vector finite‐element beam propagation method for three‐dimensional nonlinear optical waveguides

Fujisawa

Koshiba

2003

Electron Comm Jpn Pt II

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SUMMARYA full-vector beam propagation method based on the finite-element method (VFE-BPM) for analysis of a threedimensional nonlinear optical waveguide is newly developed with all slowly varying electric field components as unknown variables. The derived electric field can be used directly for evaluation of the nonlinear refractive index, so that a nonlinear refractive index directly corresponding to the electric field can be obtained. Various methods are included for improving the performance of the VFE-BPM such as the edge/nodal hybrid elements for suppressing generation of spurious solutions, the anisotropic perfectly matched layer for prevention of spurious reflection from the analysis domain edges, and an iteration method to relax the step width in the propagation direction. Further, a beam propagation analysis is carried out for spatial soliton emission phenomena in a three-dimensional nonlinear optical waveguide for performance evaluation of the VFE-BPM developed here.

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Section: Finite-difference Methods and Iterative Methodsmentioning

confidence: 99%

“…Recently, its application to three-dimensional nonlinear optical waveguide analysis has been attempted. In addition to scalar analysis [8], formulations have been carried out for the semivector analysis [9] and a full-vector analysis [10,11].…”

Section: Introductionmentioning

confidence: 99%

Full‐vector finite‐element beam propagation method for three‐dimensional nonlinear optical waveguides

Fujisawa

Koshiba

2003

Electron Comm Jpn Pt II

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“…There are many kinds of BPM's that have been developed to simulate wave propagation in optics such as the fast Fourier transform BPM, the finite-difference BPM, and the finite-element BPM [1]- [5]. Newly, a finiteelement BPM (FE-BPM) based on scalar [6], semi-vector [7], and full-vector [8]- [10] field assumptions have been developed to simulate materials with nonlinear permittivity. Also, wide angle propagation can be treated by applying Pade recurrence relation to the finite element operator [10]- [13].…”

Section: Introductionmentioning

confidence: 99%

A Locally Modal B-Spline Based Full-Vector Finite-Element Method with PML for Nonlinear and Lossy Plasmonic Waveguide

2016

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In this paper, we develop a B-spline finite-element method (FEM) based on a locally modal wave propagation with anisotropic perfectly matched layers (PMLs), for the first time, to simulate nonlinear and lossy plasmonic waveguides. Conventional approaches like beam propagation method, inherently omit the wave spectrum and do not provide physical insight into nonlinear modes especially in the plasmonic applications, where nonlinear modes are constructed by linear modes with very close propagation constant quantities. Our locally modal B-spline finite element method (LMBS-FEM) does not suffer from the weakness of the conventional approaches. To validate our method, first, propagation of wave for various kinds of linear, nonlinear, lossless and lossy materials of metal-insulator plasmonic structures are simulated using LMBS-FEM in MATLAB and the comparisons are made with FEM-BPM module of COMSOL Multiphysics simulator and B-spline finite-element finite-difference wide angle beam propagation method (BSFEFD-WABPM). The comparisons show that not only our developed numerical approach is computationally more accurate and efficient than conventional approaches but also it provides physical insight into the nonlinear nature of the propagation modes.

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“…It is basic for direct methods like finite-difference time-domain (FDTD) method-one of the most accurate, universal, and "popular" numerical methods, which is widely used for analysis of electromagnetic wave propagation over waveguides with arbitrarily complicated configuration (e.g., [56][57][58][59][60][61][62], etc.). Also well-known direct rigorous methods are method of moments [58,62,63], finite-difference frequencydomain (FDFD) method [55,58,62], finite element method [55,58,62], wavelets [64][65][66] and their modifications, and combinations with elements of coupled mode theory [41][42][43][44][67][68][69][70][71][72][73].…”

Section: Brief Overview Of Methods For Simulation Of Pulse Propagatiomentioning

confidence: 99%

Modeling and Simulation of Piecewise Regular Multimode Fiber Links Operating in a Few-Mode Regime

Bourdine

2013

Advances in Optical Technologies

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This work presents an alternative model of multimode fiber links with conventional silica weakly-guiding graded-index irregular multimode fibers under a few-mode optical signal propagation generated by laser source. The proposed model is based on the piecewise regular representation. It takes into account launch conditions, differential mode delay, both lower-and higherorder mode chromatic dispersion, differential mode attenuation, and mode mixing and power diffusion occurring due to real fiber irregularity and micro-and macrobends. We present some results of introduced model approbation with following pulse propagation simulations. A close matching with measured pulse responses at the output of test fibers is noticed.

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Three-dimensional beam propagation analysis of nonlinear optical fibers and optical logic gates

Cited by 17 publications

References 16 publications

Full‐vector finite‐element beam propagation method for three‐dimensional nonlinear optical waveguides

Full‐vector finite‐element beam propagation method for three‐dimensional nonlinear optical waveguides

A Locally Modal B-Spline Based Full-Vector Finite-Element Method with PML for Nonlinear and Lossy Plasmonic Waveguide

Modeling and Simulation of Piecewise Regular Multimode Fiber Links Operating in a Few-Mode Regime

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