A full-vectorial beam propagation method for anisotropic waveguides

Xu, Chuang; Huang, Wei‐Ping; Chrostowski, J.; Chaudhuri, S.K.

doi:10.1109/50.336056

Cited by 80 publications

(37 citation statements)

References 20 publications

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“…If the crystal axis orientation and the applied magnetostatic field (H DC ) are properly oriented (along the z direction in this case), the dielectric relative permittivity tensor becomes [7] …”

Section: Formulationmentioning

confidence: 99%

“…For magnetooptical media, the full-vectorial BPM described by Xu et al [7], for instance, is applicable only to optical waveguides with low anisotropy and weak geometric polarization effect. The most general analysis of anisotropic waveguides to date has been carried out by Selleri et al [8], where full 3 × 3 permittivity and permeability tensors were considered.…”

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confidence: 99%

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A new full-vectorial FD-BPM scheme: application to the analysis of magnetooptic and nonlinear saturable media

Alcantara

Teixeira²,

Cesar³

et al. 2005

J. Lightwave Technol.

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Abstract-A new three-dimensional (3-D) full-vectorial finitedifference (FD)-based beam-propagation method (BPM) is introduced for the analysis of magnetooptic and nonlinear materials. The refractive-index growth in the nonlinear material is allowed to saturate at high optical power densities (cubic-quintic media). The new formalism is capable of handling any combination of linear, nonlinear, and magnetooptic media, and combines, for the first time, the alternating-direction implicit technique (to improve computational performance) with the leapfrog longitudinal scheme (to simplify the solution of the coupled equations for transverse field components). The result is a numerical method that is both computationally efficient and numerically robust. The proposed BPM formalism is applied to investigate a (nonreciprocal) magnetooptic rib waveguide, as well as the new striking phenomena of light condensates propagation in cubic-quintic (saturable) media, the dynamics of which resemble those of liquid droplets.

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Section: Formulationmentioning

confidence: 99%

mentioning

confidence: 99%

A new full-vectorial FD-BPM scheme: application to the analysis of magnetooptic and nonlinear saturable media

Alcantara

Teixeira²,

Cesar³

et al. 2005

J. Lightwave Technol.

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show abstract

“…10,11 When the device structure is comparable to the scale of the wavelength, some numerical methods, such as the finitedifference (FD) time-domain method and the beam propagation method (BPM), have been employed based on a two-dimensional (2D) model of the device. [12][13][14][15][16] These simulation tools work well for some LC optical devices, such as LC gratings. However, for some other types of LC devices, such as LC-involved photonic integrated circuits, simulations based on a three-dimensional (3D) model are more desired since the channel waveguide has a finite cross section.…”

Section: Introductionmentioning

confidence: 99%

“…A full-vector BPM was presented in Ref. 16 for an anisotropic waveguide; however, it solved the BPM equations with sparse matrix solvers, such as ORTHORMIN or BICGSTAB. In the present paper, an alternating direction implicit (ADI) scheme is adopted, which simplifies the calculation procedure by its noniterative nature.…”

Section: Introductionmentioning

confidence: 99%

Modeling liquid-crystal devices with the three-dimensional full-vector beam propagation method

Wang¹,

Farrell²,

Semenova³

2006

J. Opt. Soc. Am. A

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“…Thus, isotropic optical fibers have been studied by means of BPM as well as fibers with anisotropic core [4,5], but up till now there has been no significant evidence of using BPM for liquid crystal (LC) fibers.…”

Section: Introductionmentioning

confidence: 99%

Beam Propagation Method for Liquid Crystal-Core Optical Fiber Waveguides

Szymańska

Woliński

1999

Acta Phys. Pol. A

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Propagation effects in liquid crystal-core optical fiber waveguides were investigated and simulated by means of beam propagation method. Spatial propagation beam distribution for anisotropic liquid crystal fibers was defined by using BPM_CAD software package (courtesy of Optiwave Corporation). The field intensity was related to the refractive index of core at the liquid crystal fiber in two different waveguide configurations: planar and radial, whereas the number of the propagating modes was calculated. Numerical results were compared with some experimental data formerly obtained.

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A full-vectorial beam propagation method for anisotropic waveguides

Cited by 80 publications

References 20 publications

A new full-vectorial FD-BPM scheme: application to the analysis of magnetooptic and nonlinear saturable media

A new full-vectorial FD-BPM scheme: application to the analysis of magnetooptic and nonlinear saturable media

Modeling liquid-crystal devices with the three-dimensional full-vector beam propagation method

Beam Propagation Method for Liquid Crystal-Core Optical Fiber Waveguides

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