Analysis of cylindrical waveguide discontinuities using vectorial eigenmodes and perfectly matched layers

Bienstman, Peter; Derudder, Henk; Baets, Roel; Olyslager, F.; Zutter, D. De

doi:10.1109/22.903096

Cited by 83 publications

(54 citation statements)

References 16 publications

(18 reference statements)

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“…Let us now consider the configuration shown in Figure 2, consisting of a circular dielectric waveguide with a core section having refractive index n co , permeability co , and radius r. The cladding, with refractive index n cl and permeability cl , is terminated by a PML with thickness ⌬ and absorption 0 , to form a closed circular waveguide with radius R. In [6,11] it is shown that, by stretching the coordinates, the air cladding can be combined with the PML to form a cladding layer with complex thickness R Ϫ r ϭ R Ϫ r Ϫ j⌬( 0 / 0 ). By replacing the real radius R of the closed circular waveguide by a complex complex radius R , one can easily perform the modal analysis of the waveguide under consideration.…”

Section: The Circular Dielectric Waveguidementioning

confidence: 99%

“…We consider an AlAs-AlOx waveguide-PML configuration with n co ϭ 2.9, n cl ϭ 1.55, r ϭ 0.5 m, R ϭ 1 m, and ⌬ ϭ 0.25 m at a free-space wavelength of ϭ 1 m. A strongly absorbing PML is obtained for R ϭ (1.0 Ϫ 0.1j) m. The parameters of this configuration correspond to the VCSEL resonator studied in [6].…”

Section: Vcsel Cavitymentioning

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%

“…It should be able to generate multiwavelength lasing or tunable single wavelength lasing, in order to achieve various time delays when microwave-modulated lasings with various wavelengths are reflected at different locations of the time-delay grating. Several configurations have been used to construct a multiwavelength or single-wavelength tunable-fiber laser source, for example, strain-tuning several switchable discrete FBGs in the fiber laser's linear-cavity [5], using sampled FBGs in the cavity of the fiber-ring laser [6], or cascading several discrete FBGs in the fiber-ring laser's cavity [7]. Recently, X. P. Dong used a fiber-loop mirror (FLM) to construct a multiwavelength fiber laser [8].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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.

show abstract

Section: The Circular Dielectric Waveguidementioning

confidence: 99%

Section: Vcsel Cavitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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show abstract

“…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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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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A New Series of C‐6 Unsubstituted Tetrahydropyrimidines: Convenient One‐Pot Chemoselective Synthesis, Aggregation‐Induced and Size‐Independent Emission Characteristics

Zhu

Huang

Chen

et al. 2012

Chemistry A European J

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A new series of C-6 unsubstituted tetrahydropyrimidines 6 have been directly synthesized via a convenient urea-catalyzed chemoselective five-component reaction (5CR) under mild conditions. Compounds 6 show typical aggregation-induced emission enhancement (AIEE) characteristics because they are practically no emissive in solution but emit blue or green fluorescence in aggregates with fluorescence yield up to 93%. One of the 5CR products, 6aa, exhibits blue- and green-fluorescence aggregates (bf- and gf-aggregates). The bf- and gf-aggregates are prepared under different conditions and proved to result from different J-aggregations by single-crystal X-ray analysis. In addition, the bf- and gf-aggregates of 6aa show unusual size-independent emission (SIE) characteristics because their maximum emission wavelengths in different sizes (suspension particles, film, powder and crystals) are the same, 434 and 484 nm, respectively. Based on the obtained experimental results, the 5CR mechanism, the origins of AIEE and SIE characteristics are discussed.

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Analysis of cylindrical waveguide discontinuities using vectorial eigenmodes and perfectly matched layers

Cited by 83 publications

References 16 publications

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

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

Perfectly matched layers in the thin layer method

A New Series of C‐6 Unsubstituted Tetrahydropyrimidines: Convenient One‐Pot Chemoselective Synthesis, Aggregation‐Induced and Size‐Independent Emission Characteristics

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