A Modified full-vectorial finite-difference beam propagation method based on H-fields for optical waveguides with step-index profiles

Xiao, Jinbiao; Sun, Xiaohan

doi:10.1016/j.optcom.2006.05.027

Cited by 37 publications

(17 citation statements)

References 18 publications

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“…Due to its numerical efficiency and versatility, some full vectorial BPM algorithms have been formulated based on the finite element method (Obayya et al 2000;Montanari et al 1998). In addition, many full vectorial BPM approaches based on the popular FDM have been reported (Huang and Xu 1993;Xiao and Sun 2006).…”

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confidence: 99%

Multiplexer–Demultiplexer based on nematic liquid crystal photonic crystal fiber coupler

2009

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A novel design of Multiplexer-Demultiplexer (MUX-DEMUX) based on index guiding soft glass nematic liquid crystal (NLC) based photonic crystal fiber coupler is proposed and analyzed. The simulation results are obtained using the full vectorial finite difference method as well as the full vectorial finite difference beam propagation method. The numerical results reveal that the proposed MUX-DEMUX of length 3.265 mm can provide low crosstalk better than −20 dB with great bandwidths of 40 and 24 nm around the wavelengths of 1.3 and 1.55 µm, respectively. In addition, the reported MUX-DEMUX has a tolerance of ±3% in its length which makes the design more robust to the perturbation introduced during the fabrication process.

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confidence: 99%

Multiplexer–Demultiplexer based on nematic liquid crystal photonic crystal fiber coupler

2009

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“…Here, we construct an improved FD scheme for approximating the CCTs. The derivation is similar as that described in [15] except that the present formulas are dependent on the bending radius and the coordinates of the sampled points are complex in PML regions, and the results are given as below where the FD coefficients on RHS are presented in the Appendix as equations (A11)-(A16) and equations (A17)-(A22), respectively. In comparison with the direct discretization for the CCTs used in Ref.…”

Section: Cap Layermentioning

confidence: 99%

A full-vectorial mode solver for bending waveguides by a modified finite difference method based on E-fields in cylindrical coordinate systems

Xiao

Sun

2010

SPIE Proceedings

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A full-vector mode solver for optical dielectric waveguide bends by using an improved finite difference method in terms of transverse-electric field components is developed in a local cylindrical coordinate system. A six-point finite difference scheme is constructed to approximate the cross-coupling terms for improving the convergent behavior, and the perfectly matched layer absorbing boundary conditions via the complex coordinate stretching technique are used for effectively demonstrating the leaky nature of the waveguide bends. The fundamental leaky modes for a typical bending rib waveguide are computed, which shows the validity and utility of the established method.

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“…If the transverse components e x and e y are known, the longitudinal component may be calculated by applying (4).…”

Section: A Full-vector Wave Equationmentioning

confidence: 99%

“…Various numerical techniques, e.g., finite difference method (FDM) [3,4], finite element method (FEM) [5], imagery distance beam propagation method (ID-BPM) [6], and mapped Galerkin method (MGM) [7], have been proposed to perform this task. Among them, the FD is an attractive candidate because of the simplicity of its implementation and the sparsity of its resulting matrix.…”

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confidence: 99%

Full-vectorial finite difference for optical analysis of travelling wave electroabsorption modulators

Abedi

Ahmadi

Moravvej-Farshi

et al. 2008

2008 6th International Symposium on Communication Systems, Networks and Digital Signal Processing

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A full-vectorial finite-difference-based optical mode solver is presented to analyze travelling wave electroabsorption modulator (TWEAM). The discontinuities of the normal components of the electric field across abrupt dielectric interfaces are considered in this analysis which in contrast is the limitations of scalar and semivectorial approximation method. The optical field distributions in a ridge-type traveling-wave coplanar waveguide (CPW) electroabsorption modulator for 1.55 μm operation are presented. The important parameters in the high-frequency TWEAM design such as optical effective index which defines optical velocity and transverse mode confinement factor are calculated. Then, the effects of microwave and optical properties of waveguides on modulation response of TWEAMs are analyzed.

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A Modified full-vectorial finite-difference beam propagation method based on H-fields for optical waveguides with step-index profiles

Cited by 37 publications

References 18 publications

Multiplexer–Demultiplexer based on nematic liquid crystal photonic crystal fiber coupler

Multiplexer–Demultiplexer based on nematic liquid crystal photonic crystal fiber coupler

A full-vectorial mode solver for bending waveguides by a modified finite difference method based on E-fields in cylindrical coordinate systems

Full-vectorial finite difference for optical analysis of travelling wave electroabsorption modulators

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