A wide-angle beam propagation method using a finite element scheme

Tsuji, Yasuhidé; Koshiba, Masanori; Tanabe, Tomohide

doi:10.1002/(sici)1520-6432(199701)80:1<18::aid-ecjb3>3.0.co;2-5

Cited by 4 publications

(1 citation statement)

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“…Entretanto, a análise é geralmente mais complicada, especialmente quando estão envolvidos materiais caracterizados por tensores permeabilidade ou permissividade [ 12], [57], [59]. Os guias planares são, ao contrário, mais fáceis de serem analisados, pois [8], [19], e as tridimensionais, como as do tipo rib, pela técnica da perturbação [18] ou do índice efetivo [16], [41]- [43].…”

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Análise de dispositivos com materiais magnetoópticos para aplicações em sistemas de comunicações ópticas

Gonçalves¹

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Optical communication networks have allowed a continuous increase of broadband services offer. The all-optical communication networks are becoming the most ambitious technological goal. Great efforts have been concentrated on the materiais and devices development and improvement to make it possible. Nonreciprocal devices, such as isolators and circulators constitute an imp01tant class of optical devices. lsolators are used in optical systems to avoid reflectio. n of light in lasers and amplifiers. Circulators are used in signal derivat ion schemes that use wavelength division multiplexing (WDM). The operation of these devices is based on the propetties of magnetooptic materiais. The purposes of this dissertation are to present the main features of the magnetooptic materiais as well as to analyze the eletromagnetic wave propagation in magnetooptic waveguides, exploring nonreciprocal features ofTM modes. Planar and three-dimensional waveguides are analysed in this present study. Therefore expressions of electromagnetic fie ld components and characteristic equations of the modes of interest in planar stmctures are obtained by using transfer matrix technique (TMT). The wave propagation analysis in planar magnetooptic waveguides is realized by using the finite-difference beam propagation method (FD-BPM) and Crank-Nicholson scheme (CN) applied to wave equation solution discretization. In arder to avoid electromagnetic wave reflect ion into computational window, the transparent boundary condition (TBC) is incorporated to the FD-BPM formalism. The effective index method (EIM) is used in the analysis ofthree-d imensional rib magnetooptic waveguides.

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Section: Estruturas Guiantesunclassified

Análise de dispositivos com materiais magnetoópticos para aplicações em sistemas de comunicações ópticas

Gonçalves¹

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

Niiyama

Koshiba²

1998

J. Lightwave Technol.

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Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods

Shibayama

Matsubara²,

Sekiguchi³

et al. 1999

J. Lightwave Technol.

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Abstract-Efficient nonuniform schemes, based on the generalized Douglas (GD) scheme, are developed for the finite-difference beam propagation method (FD-BPM). For a two-dimensional (2-D) problem, two methods are presented: a computational space method and a physical space method. In the former, the GD scheme is employed, after replacing a nonuniform grid in the physical space with a uniform one in the computational space. In the latter, the GD scheme is directly extended to a nonuniform grid in the physical space. We apply these two methods to paraxial and wide-angle FD-BPM's. The fourth-order accuracy is achieved in the transverse direction, provided that the grid growth factor between two adjacent grids is r = 1 + O(1x). For the paraxial BPM, the reduction in the truncation error is demonstrated through modal calculations of a graded-index waveguide using an imaginary distance procedure. For the wide-angle BPM, the propagating field in a tilted waveguide is analyzed to show the effectiveness of the present scheme. As an application of the physical space method, an adaptive grid is introduced into the multistep method.Index Terms-Finite-difference methods, optical beam propagation, optical waveguides.

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A wide-angle beam propagation method using a finite element scheme

Cited by 4 publications

References 0 publications

Análise de dispositivos com materiais magnetoópticos para aplicações em sistemas de comunicações ópticas

Análise de dispositivos com materiais magnetoópticos para aplicações em sistemas de comunicações ópticas

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

Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods

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