Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers

Derudder, Henk; Olyslager, F.; Zutter, D. De; Berghe, Steven Van den

doi:10.1109/8.914270

Cited by 94 publications

(46 citation statements)

References 12 publications

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“…Fig. 4 shows the ratio of the absolute value of the displacements predicted by (18) and the absolute value of the displacements of a half-space given by (11). Fig.…”

Section: Pml For Sh Waves Via the Tlmmentioning

confidence: 99%

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Perfectly matched layers in the thin layer method

Barbosa

Park

Kausel

2012

Computer Methods in Applied Mechanics and Engineering

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This paper explores the coupling of the Perfectly Matched Layer technique (PML) with the Thin Layer Method (TLM), the combination of which allows making highly efficient and accurate simulations of layered half-spaces of infinite depth subjected to arbitrary dynamic sources anywhere. It is shown that with an appropriate complex stretching of the thickness of the thinlayers, one can assemble a system of layers which fully absorbs and attenuates waves for any angle of propagation. An extensive set of numerical experiments show that the TLM+PML performance is clearly superior to that of a standard TLM model with paraxial boundaries augmented with buffer layers (TLM+PB). This finding strongly suggests that the proposed combination may in due time constitute the preferred choice for this class of problems.

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“…Fig. 4 shows the ratio of the absolute value of the displacements predicted by (18) and the absolute value of the displacements of a half-space given by (11). Fig.…”

Section: Pml For Sh Waves Via the Tlmmentioning

confidence: 99%

“…Of special relevance and interest to the material herein is a series of papers on the spectral properties of PMLs [5,6,11,32], which explore the characteristics of the eigenvalues of continuous PMLs -i.e. without discretization errors-in the context of electromagnetic waves in the frequency domain.…”

Section: Introductionmentioning

confidence: 99%

Perfectly matched layers in the thin layer method

Barbosa

Park

Kausel

2012

Computer Methods in Applied Mechanics and Engineering

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“…In [4] it is shown that, by stretching the coordinates, the air region can be combined with the PML to form a single air layer with complex thickness The propagation constants ␤ of the eigenmodes propagating, for example, in the ϩz direction with phase factor e Ϫj␤z , obey the following dispersion relation: We now assume that the PML acts as a strong absorber. In [8], we have shown that the eigenvalues obeying Eq.…”

Section: The Planar Dielectric Waveguidementioning

confidence: 99%

“…To overcome the squint problem, true-time-delay (TTD) units are usually used to keep the beamforming direction stable at different microwave frequencies. The photonic TTD system has been considered a promising technique for wideband phased-array beamforming because of its advantages, such as low loss, small size, light weight, and immunity to electromagnetic interference [1][2][3][4]. One way to achieve wideband photonic TTD beamforming is to use fiber laser as the laser source and fiber grating prisms (FGPs), either discrete fiber Bragg gratings (FBGs) or chirped gratings, as time delay elements.…”

Section: Introductionmentioning

confidence: 99%

“…Perfectly matched layers (PMLs), introduced by Berenger [1] as absorbing boundary conditions in FDTD simulations, can also be used analytically to efficiently model conductors in microstrip substrates [2,3] and to analyze discontinuities in open waveguides, involving microstrip substrates [4], laser facets [5], and VCSELs [6]. The technique relies on the fact that the closed waveguide formed by terminating an open structure by means of a PML allows a discrete mode expansion, while the PML mimics an open configuration.…”

Section: Introductionmentioning

confidence: 99%

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Fast calculation of the propagation constants of leaky and Berenger modes of planar and circular dielectric waveguides terminated by a perfectly matched layer

Rogier

Knockaert

Zutter

2003

Micro & Optical Tech Letters

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A fast technique is proposed to determine the complex propagation constants of the leaky and Berenger modes of circular dielectric waveguides terminated by a perfectly matched layer (PML). The method relies on a coordinate transformation in the complex plane and uses the approximate analytical solutions of the dispersion relations as a first estimate. The efficiency of the technique is shown for a microstrip substrate and a VCSEL configuration, both terminated by a perfectly matched layer.

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Optical Design of Vertical‐Cavity Lasers

Nakwaski

Czyszanowski

Sarzała

2007

Nitride Semiconductor Devices: Principles and Simulation

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Based on Micro-Opto-Electro-Mechanical System (MOEMS) technology, vertical cavity devices with an air-gap enable very efficient ultra-wide continuous tuning with only a single control parameter. The vertical cavity filters and Lasers consist of an air-gap cavity embedded between two highly reflective Bragg mirrors. Vertical Cavity Surface Emitting Lasers (VCSELs) have an active layer additionally integrated in the cavity. The ultra-wide continuous tuning is achieved by micro-electromechanical actuation of the mirror membranes. Our research activities concentrated on Bragg mirror material system with InP/air-gap mirror structures. The resonator quality depends on the refractive index contrast between the Bragg mirror layer materials and on the number of periods. The advantage of the semiconductor/air-gap system is the very high refractive index contrast ensuring a high reflectivity of more than 99.8% with only three layer periods. The semiconductor/air-gap structures forming the membranes of one Bragg mirror are n-doped while the other mirror membranes are p-doped forming a diode structure. Due to device miniaturization very efficient tuning is achieved by electrostatic actuation. The investigations presented focus on an InP/air-gap Fabry-Pérot-filter for  air =1.55µm with an air-gap cavity thickness equal to a multiple of ½  air embedded between two InP/air Bragg mirrors. The InP membranes have a thickness of of ¾  InP , the air-gaps in between are ¼ air thick. The tuning behaviour is determined by the mechanical flexibility of the membranes and by the optical properties of the vertical cavity. The electrostatic deflection due to a reverse voltage is calculated with FEM simulations incorporating the effect of stress in the membranes. The results of the model calculations compared very well with measured values. This study describes the optical micro-electromechanical design of the novel low cost device structure applicable in optical filters, vertical cavity surface emitting lasers (VCSELs) and a host of other optical applications. We also present a solution to one of the most challenging problems in the design of micro-electromechanical devices consisting of thin-walled structures -that is residual stress. Residual stress alters device characteristics if not taken into consideration during design and characterisation.

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Efficient mode-matching analysis of discontinuities in finite planar substrates using perfectly matched layers

Cited by 94 publications

References 12 publications

Perfectly matched layers in the thin layer method

Perfectly matched layers in the thin layer method

Fast calculation of the propagation constants of leaky and Berenger modes of planar and circular dielectric waveguides terminated by a perfectly matched layer

Optical Design of Vertical‐Cavity Lasers

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