Analysis of dielectric rectangular waveguide by modified effective-index method

Kim, C.M.; Jung, Byung-Hae; Lee, C.W.

doi:10.1049/el:19860202

Cited by 36 publications

(5 citation statements)

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“…Please note that for closed homogeneous waveguides as the ones under consideration, the complete electromagnetic field can be fully characterized by this scalar function Φ standing for the longitudinal field shape (E z or H z for TM and TE modes, respectively). This ensures the validity and exactness of a scalar FEM solution for the computation of the modal spectrum, without the need to use other approaches required in waveguides where hybrid modes are present, as inhomogeneous waveguides (i.e., vector-scalar FEM approximation [25,26]), open dielectric channel waveguides (i.e., the effective index method [27,28]), etc. To address the discrete solution of this 2D Helmholtz equation there are enriched versions of the FEM which rely on non-polynomial basis functions that can achieve increased accuracy, such as the so called 2D Generalized Finite Element Method [29,30].…”

Section: Brief Review Of Standard 2d-fem For Modal Computationmentioning

confidence: 99%

On the Use of Quadrilateral Meshes for Enhanced Analysis of Waveguide Devices with Manhattan-Type Geometry Cross-Sections

2022

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This work addresses the suitability of using structured meshes composed of quadrilateral finite elements, instead of the classical unstructured meshes made of triangular elements. These meshes are used in the modal analysis of waveguides with Manhattan-like cross-sections. For this problem, solved with the two-dimensional Finite Element Method, there are two main quality metrics: eigenvalue and eigenvector accuracy. The eigenvalue accuracy is first considered, showing how the proposed structured meshes are, given comparable densities, better, especially when dealing with waveguides presenting pairs of modes with the same cutoff frequency. The second metric is measured through a practical problem, which commonly appears in microwave engineering: discontinuity analysis. In this problem, for which the Mode-Matching technique is used, eigenvectors are needed to compute the coupling between the modes in the discontinuities, directly influencing the quality of the transmission and reflection parameters. In this case, it is found that the proposed analysis performs better given low-density meshes and mode counts, thus proving that quadrilateral-element structured meshes are more resilient than their triangular counterparts to higher-order eigenvectors.

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Section: Brief Review Of Standard 2d-fem For Modal Computationmentioning

confidence: 99%

On the Use of Quadrilateral Meshes for Enhanced Analysis of Waveguide Devices with Manhattan-Type Geometry Cross-Sections

2022

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“…In the EIM approach, the eigenvalue of the equivalent slab waveguide is an approximate index value of the original waveguide. Although the EIM approach provides a good approximation, it still suffers from errors in the vicinity of the cut-off [60][61][62][63]. At the beginning of this present work, this method is used to investigate the preliminary behaviour of the device with the assumption that losses are negligible.…”

Section: The Finite-difference Time-domain (Fdtd) Approachmentioning

confidence: 99%

Modelling of Photonic Crystal (PhC) Cavities: Theory and Applications

Zain¹,

Rue²

2019

Photonic Crystals - A Glimpse of the Current Research Trends

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In recent years, many researchers have shown their interest in producing a compact high-performance optical chip that is useful for most telecommunication applications. One of the solutions is by realising photonic crystal (PhC) structures that exhibit high-quality factors in a small mode volume, V. Silicon on insulator (SOI) is one of the main contenders due to its high-index contrast between the silicon (Si) core waveguide with silica (SiO 2 ) cladding surrounding it. The maturity of silicon photonic can also be incorporated with CMOS chips making it a desired material. A strong optical confinement provided by PhC structures makes it possible to realise the compact device on a single chip. In this chapter, we will discuss a fundamental background of photonic crystal cavities mainly on one-dimensional (1D) structures, which are the simplest as compared to their counterparts, 2D and 3D PhC device structures. We have modelled a photonic crystal cavity using finitedifference time-domain (FDTD) approach. This approach uses time-dependent Maxwell equation to cover wide frequency range in a single simulation. The results are then compared with the actual measured results showing a significant agreement between them. The design will be used as basic building block for designing a more complex PhC structures that exhibit high-quality factors for applications such as filtering, DWDM and sensors.

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“…Starting with [8], coupling between WGs with rectangular cores, based on the solution of BVPs, have been analysed extensively since this time [6,[9][10][11][12]. Following [19] (1) CMT applied to the step-wise approximation of interconnections (2) the crossed dielectric slab method (CDSM) and (3) the generalized effective dielectric constant method (GEDCM) are needed for the computation of propagation constants and coupling.…”

Section: Large-scale Harmonic Analysismentioning

confidence: 99%

“…are discussed in [6,[9][10][11][12]. By assuming a function of the refractive index in x-direction ( Fig.…”

Section: Improvements and Further Approachesmentioning

confidence: 99%

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Analysis of multilayers of dielectric waveguides for large-scale photonic circuits

Giglmayr

2001

SPIE Proceedings

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Analysis of dielectric rectangular waveguide by modified effective-index method

Cited by 36 publications

References 0 publications

On the Use of Quadrilateral Meshes for Enhanced Analysis of Waveguide Devices with Manhattan-Type Geometry Cross-Sections

On the Use of Quadrilateral Meshes for Enhanced Analysis of Waveguide Devices with Manhattan-Type Geometry Cross-Sections

Modelling of Photonic Crystal (PhC) Cavities: Theory and Applications

Analysis of multilayers of dielectric waveguides for large-scale photonic circuits

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