Three-Dimensional Finite-Element Solutions for Crossing Slot-Waveguides With Finite Core-Height

Ishizaka, Yuhei; Kawaguchi, Yuki; Saitoh, Kunimasa; Koshiba, Masanori

doi:10.1109/jlt.2012.2217478

Cited by 31 publications

(21 citation statements)

References 26 publications

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“…Since evaluation of characteristics of a given optical device is necessary in topology optimization, the three-dimensional finite element method (FEM) using tetrahedral edge elements for a waveguide discontinuity problem [18] is employed to estimate the transmission characteristics. Applying the FEM, we obtain a final matrix equation as follows:…”

Section: B Finite Element Methodsmentioning

confidence: 99%

Design of Three-Dimensional Optical Circuit Devices by Using Topology Optimization Method With Function-Expansion-Based Refractive Index Distribution

Yasui

Tsuji

Sugisaka

et al. 2013

J. Lightwave Technol.

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We extend topology optimization method with function-expansion-based refractive index distribution to optimization for three-dimensional optical circuits, in which a refractive index distribution in a design region is expressed by an expansion with some analytical functions. Three-branch optical waveguides have been optimized as numerical examples. Equally branching three-branch waveguides are achieved using our method. A limitation of topology optimization in two dimensions and dependency of initial structure are also shown.

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Section: B Finite Element Methodsmentioning

confidence: 99%

Design of Three-Dimensional Optical Circuit Devices by Using Topology Optimization Method With Function-Expansion-Based Refractive Index Distribution

Yasui

Tsuji

Sugisaka

et al. 2013

J. Lightwave Technol.

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“…where {N} is the shape function vector [20], {f} e is the edge variables for each element, and superscript T denotes a transpose. Applying the standard finite-element technique to (9), we obtain…”

Section: B Finite Element Discretizationmentioning

confidence: 99%

Three-Dimensional Finite-Element Time-Domain Beam Propagation Method and Its Application to 1-D Photonic Crystal-Coupled Resonator Optical Waveguide

Makino

Sato

Ishizaka

et al. 2015

J. Lightwave Technol.

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A three-dimensional finite-element time-domain beam propagation method is described for the first time, to the best of our knowledge, for the analysis of transmission characteristics of any kind of photonic structures. In order to avoid nonphysical reflections from computational window edges, the perfectly matched layer boundary condition is introduced. Furthermore, the present method can treat wide-band optical pulses owing to the use of Padé approximation. The validity of this method is verified by numerical simulations of a photonic crystal cavity and a micro ring resonator. In addition, in order to demonstrate the usefulness of the developed method, a taper waveguide for a highly-efficient connection between a straight waveguide and a one-dimensional photonic crystal coupled resonator optical waveguide is designed.

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“…waveguide discontinuity problems [30] but also for 3D waveguide discontinuity problems [31]. In 2D-FD-FEM, a triangular nodal element shown in Fig.…”

Section: Fig 14mentioning

confidence: 99%

Optical Waveguide Theory by the Finite Element Method

Koshiba

2014

IEICE Trans. Electron.

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SUMMARY Recent progress in research on the finite element method (FEM) for optical waveguide design and analysis is reviewed, focusing on the author's works. After briefly reviewing fundamentals of FEM such as a theoretical framework, a conventional nodal element, a newly developed edge element to eliminate nonphysical, spurious solutions, and a perfectly matched layer to avoid undesirable reflections from computational window edges, various FEM techniques for a guided-mode analysis, a beam propagation analysis, and a waveguide discontinuity analysis are described. Some design examples are introduced, including current research activities on multi-core fibers. key words: finite element method, beam propagation method, spurious solutions, fiber optics, nanophotonics

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Three-Dimensional Finite-Element Solutions for Crossing Slot-Waveguides With Finite Core-Height

Cited by 31 publications

References 26 publications

Design of Three-Dimensional Optical Circuit Devices by Using Topology Optimization Method With Function-Expansion-Based Refractive Index Distribution

Design of Three-Dimensional Optical Circuit Devices by Using Topology Optimization Method With Function-Expansion-Based Refractive Index Distribution

Three-Dimensional Finite-Element Time-Domain Beam Propagation Method and Its Application to 1-D Photonic Crystal-Coupled Resonator Optical Waveguide

Optical Waveguide Theory by the Finite Element Method

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