Optimization of deep-etched, single-mode GaAs-AlGaAs optical waveguides using controlled leakage into the substrate

Heaton, J.M.; Bourke, M.M.; Jones, S.B.; Smith, Brian H.; Hilton, K.P.; Smith, Graeme C.; Birbeck, J.C.H.; Berry, G.; Dewar, S. V.; Wight, D.R.

doi:10.1109/50.744237

Cited by 35 publications

(11 citation statements)

References 25 publications

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“…The study of these resonations and their optical modes is important in the design of, e.g. semiconducting lasers [1] and lossy waveguides [2]. The ability to make realistic mathematical models can reduce the design time and development cost of those devices dramatically.…”

Section: Introductionmentioning

confidence: 99%

An operator method for a numerical quadrature finite element method for a Maxwell‐eigenvalue problem

Hamelinck

Keer

2007

Math Methods in App Sciences

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SUMMARYWe consider a Maxwell-eigenvalue problem on a brick. As is well known, we need to pay special attention to avoiding the so-called spurious eigenmodes. We extend the results obtained in (SIAM J. Numer. Anal. 2000; 38:580-607) to include the use of numerical quadrature. For simplicity, we restrict ourselves to a Gauss-Lobatto integration scheme. The numerical quadrature variational problem can be recasted in an operator form. The main goal of the article consists of proving that a set of necessary and sufficient conditions for spurious freeness remain valid while using numerical quadrature with sufficient precision.

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Section: Introductionmentioning

confidence: 99%

An operator method for a numerical quadrature finite element method for a Maxwell‐eigenvalue problem

Hamelinck

Keer

2007

Math Methods in App Sciences

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“…A PML lining terminates the two-dimensional structure on the boundary. The PML is used to render the effect of leakage into the substrate [13]. The order of A and B is n = 32,098.…”

Section: A Waveguide Problem With Pmlmentioning

confidence: 99%

A Jacobi--Davidson Method for Solving Complex Symmetric Eigenvalue Problems

Arbenz

Hochstenbach

2004

SIAM J. Sci. Comput.

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Abstract. We discuss variants of the Jacobi-Davidson method for solving the generalized complex symmetric eigenvalue problem. The Jacobi-Davidson algorithm can be considered as an accelerated inexact Rayleigh quotient iteration. We show that it is appropriate to replace the Euclidean inner product in C n with an indefinite inner product. The Rayleigh quotient based on this indefinite inner product leads to an asymptotically cubically convergent Rayleigh quotient iteration. Advantages of the method are illustrated by numerical examples. We deal with problems from electromagnetics that require the computation of interior eigenvalues. The main drawback that we experience in these particular examples is the lack of efficient preconditioners.

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“…The higher order modes leak into the substrate and are referred to as 'leaky-modes'. In the deep-etched designs presented by Heaton et al [2] the guide is etched through the core and into the lower cladding layers, so that light is guided in the rib only. The guide consists of two lower cladding layers, the core layer, one upper cladding layer and a cap layer (Fig.…”

Section: Deep-etched Waveguide Designmentioning

confidence: 99%

“…The etch depth is normally shallow and the mode shape is therefore elliptical, being narrow in the vertical direction but broad in the horizontal direction, [I]. However, very deep-etched guides have recently been reported [2] which can have a more circular profile. Typical mode shapes for shallow-and deep-etched waveguides are shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

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Design of deep-etched, AlGaAs/GaAs optical waveguides with reduced fabrication tolerance sensitivity

Ferguson

Clements²,

Iezekiel³

et al.

.7th IEEE High Frequency Postgraduate Student Colloquium

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Deep-etched GaAs/AlGaAs optical waveguides for use in integrated electrooptic devices were designed and simulated using the beam propagation method (BPM). Waveguides with a low fundamental mode loss (<0.1 dB/cm) but high second horizontal mode loss (>20 dB/cm) were achieved. This design is less susceptible to inaccuracies in the aluminium fraction in AlGaAs than other deep-etched waveguide designs. In practice it is difficult to accurately control the proportion of aluminium (value of x) in AkGal-,As for low percentages of aluminium, hence this design will be easier to implement. Very small radius low-loss bends are simulated by BPM and low-loss multimode interference (MMI) structures are designed by the same method.

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Optimization of deep-etched, single-mode GaAs-AlGaAs optical waveguides using controlled leakage into the substrate

Cited by 35 publications

References 25 publications

An operator method for a numerical quadrature finite element method for a Maxwell‐eigenvalue problem

An operator method for a numerical quadrature finite element method for a Maxwell‐eigenvalue problem

A Jacobi--Davidson Method for Solving Complex Symmetric Eigenvalue Problems

Design of deep-etched, AlGaAs/GaAs optical waveguides with reduced fabrication tolerance sensitivity

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