Review of numerical and approximate methods for the modal analysis of general optical dielectric waveguides

Chiang, Kin Seng

doi:10.1007/bf00384667

Cited by 156 publications

(52 citation statements)

References 189 publications

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“…Marcatili's Method was one of the first semi-analytical approximation methods developed for the analysis of buried waveguides and couplers (Marcatili 1969). This method works well in the regions far from cut-off but does not provide a satisfactory solution close to cut-off region (Chiang 1994).…”

Section: Methodsmentioning

confidence: 99%

Rigorous analysis of numerical methods: a comparative study

Hada

Rahman

2016

Opt Quant Electron

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Abstract For any photonic device simulation, the accuracy of the numerical solution not only depends on the methods being used but also on the discretization parameters used in that numerical method. In this work, Finite Element Method and Finite Difference Time Domain Method based on Maxwell's equations were used to simulate optical waveguides and directional couplers. As the solution accuracy may also depend on the index contrast used in such photonic devices, the characteristics of low-index contrast Germanium doped Silica and high-index contrast Silicon Nanowire Waveguides were analyzed, evaluated and benchmarked. Numerical results to benchmark Directional Couplers are also reported in this paper. Permanent

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Section: Methodsmentioning

confidence: 99%

Rigorous analysis of numerical methods: a comparative study

Hada

Rahman

2016

Opt Quant Electron

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“…In the standard approach to calculate the modes, we need to select some components of the vectors E and H and write an approximate problem for them using the finite element method or the finite difference method [9]. Our computing experiments have shown that the system (4) is more convenient for applying the Galerkin method because the truncation of operators A, B and C in this basis give us at once the algebraic eigenvalues problem in the form…”

Section: Normal Modes Of a Waveguidementioning

confidence: 99%

Diffraction of Electromagnetic Waves on a Waveguide Joint

et al. 2018

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Abstract. In general, the investigation of the electromagnetic field in an inhomogeneous waveguide doesn't reduce to the study of two independent boundary value problems for the Helmholtz equation. We show how to rewrite the Helmholtz equations in the "Hamiltonian form" to express the connection between these two problems explicitly. The problem of finding monochromatic waves in an arbitrary waveguide is reduced to an infinite system of ordinary differential equations in a properly constructed Hilbert space. The calculations are performed in the computer algebra system Sage.

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“…For guided modes, a variety of robust and reliable numerical methods [1] have been developed and demonstrated. However, little attention has been devoted to figure out the leaky modes of optical waveguides due to the difficulty to extract the complex roots.…”

Section: Introductionmentioning

confidence: 99%

Leaky mode analysis of optical waveguides by Legendre and Laguerre pseudospectral method

Huang

2008

Micro & Optical Tech Letters

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Review of numerical and approximate methods for the modal analysis of general optical dielectric waveguides

Cited by 156 publications

References 189 publications

Rigorous analysis of numerical methods: a comparative study

Rigorous analysis of numerical methods: a comparative study

Diffraction of Electromagnetic Waves on a Waveguide Joint

Leaky mode analysis of optical waveguides by Legendre and Laguerre pseudospectral method

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