Spontaneous emission in a subwavelength environment characterized by boundary integral equations

Rogobete, L.; Henkel, Carsten

doi:10.1103/physreva.70.063815

Cited by 21 publications

(19 citation statements)

References 32 publications

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“…Another version of "defective" BIE was applied in Rogobete and Henkel (2004) to study the enhancement of spontaneous emission from variously shaped cavities in a more justified manner-only smaller than wavelength cavities were computed, i.e. the frequency remained lower than the first "defect" value.…”

Section: Photonic Molecule Lasersmentioning

confidence: 99%

Trends in microdisk laser research and linear optical modelling

Nosich¹,

Smotrova²,

Boriskina

et al. 2007

Opt Quant Electron

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Research into microdisk lasers demonstrates new achievements both in the technology and in the associated physical effects and applications. Melting and rounding of the disk edge boosts the Q-factors due to improved surface smoothness. In-plane cavity shape is widely used as a design instrument. Optimal shaping of pumped area lowers the threshold power. Photonic molecules made of several microdisks as "photonic atoms" show lasing at several closely spaced frequencies. A microdisk with a single quantum dot as an active region is considered as the most promising system for realisation of a single photon emitter necessary for quantum computing. These new effects and devices can be simulated with accurate numerical techniques, developed recently for "warm-cavity" linear modelling, that are able to bring a new vision of the physics of lasing.

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Section: Photonic Molecule Lasersmentioning

confidence: 99%

Trends in microdisk laser research and linear optical modelling

Nosich¹,

Smotrova²,

Boriskina

et al. 2007

Opt Quant Electron

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“…We reformulate the wave equation in terms of boundary integral equations. This has been described elsewhere 12,13,14,15 , and we quote only the basic formulas here. Our unknowns are the nonzero component A of the vector potential and its normal derivative F = ∂A/∂n ≡ n · ∇A on the object surface S, where n is the outward unit normal to S. Both quantities are continuous (actually, F is equal to the tangential magnetic field) and can be found from the system of integral equations…”

Section: A Boundary Integral Equationsmentioning

confidence: 99%

“…1 − r top r bottom e −2κmh (12) where r top = r half space is given by Eq. (11) and r bottom describes the reflection from the layer-substrate interface.…”

Section: B Reflected Fieldmentioning

confidence: 99%

“…The integrals (16,17) are to be understood as principal values to handle the singularities of the Green functions as x → r. We discretize them on a finite element decomposition of the object boundary, as described in Ref. 12. The resulting linear system is solved with standard numerical tools.…”

Section: A Boundary Integral Equationsmentioning

confidence: 99%

“…We also discuss previously developed approximations for planar structures and within the magnetostatic regime where analytical calculations are possible. Our numerical methods are restricted here to two spatial dimensions (2D) where efficient solutions of Maxwell equations can be found with the help of boundary integral equations 12,13,14,15 . Our approach can also be combined with any other numerical method for field computations, permitting to cover three-dimensional cases as well.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Magnetic noise around metallic microstructures

Zhang

Henkel

2007

Journal of Applied Physics

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We compute the local spectrum of the magnetic field near a metallic microstructure at finite temperature. Our main focus is on deviations from a plane-layered geometry for which we review the main properties. Arbitrary geometries are handled with the help of numerical calculations based on surface integral equations. The magnetic noise shows a significant polarization anisotropy above flat wires with finite lateral width, in stark contrast to an infinitely wide wire. Within the limits of a two-dimensional setting, our results provide accurate estimates for loss and dephasing rates in so-called 'atom chip traps' based on metallic wires. A simple approximation based on the incoherent summation of local current elements gives qualitative agreement with the numerics, but fails to describe current correlations among neighboring objects.

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Analysis of the surface plasmon resonance of a single core-shelled nanocomposite by surface integral equations

Liaw¹

2006

Engineering Analysis with Boundary Elements

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Spontaneous emission in a subwavelength environment characterized by boundary integral equations

Cited by 21 publications

References 32 publications

Trends in microdisk laser research and linear optical modelling

Trends in microdisk laser research and linear optical modelling

Magnetic noise around metallic microstructures

Analysis of the surface plasmon resonance of a single core-shelled nanocomposite by surface integral equations

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