Directional light emission from a kite-shaped microcavity laser

Smotrova, E.I.; Nosich, Alexander I.

doi:10.1109/icton.2011.5971051

Cited by 3 publications

(4 citation statements)

References 19 publications

(14 reference statements)

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“…Note also that the deformation from the circular symmetry leads to the removal of the double mode degeneracy, for all modes with azimuth indices m > 0. This is quite similar to our previous study of the modes in a spiral cavity laser [10] and a more recent simulation of a kite-shaped laser [11]. As far as limacon cavity has one symmetry line, the modes break up into two classes according to the symmetry or the anti-symmetry properties of modal fields.…”

Section: Numerical Resultssupporting

confidence: 73%

Thresholds of lasing and modal patterns of a limacon cavity analysed with Muller's integral equations

Smotrova

Nosich

2011

2011 11th International Conference on Laser and Fiber-Optical Networks Modeling (LFNM)

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Abstract:We consider the lasing characteristics of the natural modes in a limacon active microcavity. The modes are the solutions to the two-dimensional (2-D) linear eigenproblem for the Maxwell equations with exact boundary conditions and radiation condition at infinity. This problem is reduced equivalently to the set of Muller's integral equations of the Fredholm second kind and discretized using the exponentially convergent quadrature formulas. The numerical studies of lasing thresholds and modal field patterns of the whispering-gallery modes are presented. They demonstrate that the directionality of emission from a cavity deformed from the circle can be enhanced in several times using relatively small deformations. However this is achieved at the expense of higher threshold values.

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Section: Numerical Resultssupporting

confidence: 73%

Thresholds of lasing and modal patterns of a limacon cavity analysed with Muller's integral equations

Smotrova

Nosich

2011

2011 11th International Conference on Laser and Fiber-Optical Networks Modeling (LFNM)

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“…Some preliminary results of this analysis have been published in contributed conference papers [34][35][36]; however, they are presented here in a more complete and convincing manner. Special attention is paid to the connection of the rate of convergence with the contour smoothness.…”

Section: Introductionmentioning

confidence: 87%

Spectra, thresholds, and modal fields of a kite-shaped microcavity laser

et al. 2013

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We investigate the lasing spectra, threshold gain values, and emission directionalities for a two-dimensional microcavity laser with a "kite" contour. The cavity modes are considered accurately using the linear electromagnetic formalism of the lasing eigenvalue problem with exact boundary and radiation conditions. We develop a numerical algorithm based on the Muller boundary integral equations discretized using the Nystrom technique, which has theoretically justified and fast convergence. The influence of the deviation from the circular shape on the modal characteristics is studied numerically for the modes polarized in the cavity plane, demonstrating opportunities of directionality improvement together with preservation of a low threshold. These advantageous features are shown for the perturbed whispering-gallery modes of high-enough azimuth orders. Other modes can display improved directivities while suffering from drastically higher threshold levels. Experiments based on planar organic microcavity lasers confirm the coexistence of Fabry-Perot-like and whispering-gallery-like modes in kite-shaped cavities and show good agreement with the predicted far-field angular diagrams.

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“…For the discretization of the resulted sets of IEs, we use two Nystrom-type methods with different quadrature rules of interpolation type. For IEs (22), we apply the Gauss-Legendre quadrature formulas of the n v order with the nodes which are nulls of the Legendre polynomials P n v t j À Á ¼ 0; j ¼ 1; . .…”

Section: Logarithmic-singular and Hyper-singular Ies On A Straight Inmentioning

confidence: 99%

“…More numerical results related to the analysis of lasing modes of 2‐D spiral and kite‐shaped active microcavities can be found in the contributed papers .…”

Section: Logarithmic‐singular Ies On a Closed Contour: Natural Modes mentioning

confidence: 99%

Nystrom‐type techniques for solving electromagnetics integral equations with smooth and singular kernels

Balaban¹,

Smotrova²,

Shapoval³

et al. 2012

Int J Numerical Modelling

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Considered are the problems of electromagnetic wave scattering, absorption and emission by several types of twodimensional and three-dimensional dielectric and metallic objects: arbitrary dielectric cylinder, thin material strip and disk, and arbitrary perfectly electrically conducting surface of rotation. In each case, the problem is rigorously formulated and reduced to a set of boundary integral equations with smooth, singular and hyper-singular kernel functions. These equations are further discretized using Nystrom-type quadrature formulas adapted to the type of kernel singularity and the edge behavior of unknown function. Convergence of discrete models to exact solutions is guaranteed by general theorems. Practical accuracy is achieved by inverting the matrices of the size that is only slightly greater than the maximum electrical dimension of corresponding scatterer. Sample numerical results are presented.

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Directional light emission from a kite-shaped microcavity laser

Cited by 3 publications

References 19 publications

Thresholds of lasing and modal patterns of a limacon cavity analysed with Muller's integral equations

Thresholds of lasing and modal patterns of a limacon cavity analysed with Muller's integral equations

Spectra, thresholds, and modal fields of a kite-shaped microcavity laser

Nystrom‐type techniques for solving electromagnetics integral equations with smooth and singular kernels

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