Numerical and Experimental Study of the $Q$ Factor of High-$Q$ Micropillar Cavities

Gregersen, Niels; Reitzenstein, Stephan; Kistner, C.; Strauß, M.; Schneider, Christian; Höfling, Sven; Worschech, L.; Forchel, A.; Nielsen, Toke Rammer; Mørk, Jesper; Gérard, Jean‐Michel

doi:10.1109/jqe.2010.2052095

Cited by 37 publications

(40 citation statements)

References 33 publications

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“…In order to fin resonance frequencies and quality factors (Q), we adopted the algorithm which uses eigenvalues of the cavity reflect vity matrix (reflect vity matrix of symmetric half of the whole cavity) similar to that described in [13]. Note that the algorithm has been found to provide more reliable results than the standard approach based on locating the maximum and bandwidth of a resonance curve.…”

Section: Bidirectional Eigenmode Propagation (Bep)mentioning

confidence: 99%

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Simulations of high-Q optical nanocavities with a gradual 1D bandgap

Maes¹,

Petráček²,

Burger³

et al. 2013

Opt. Express

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High-quality cavities in hybrid material systems have various interesting applications. We perform a comprehensive modeling comparison on such a design, where confinemen in the III-V material is provided by gradual photonic crystal tuning, a recently proposed method offering strong resonances. The III-V cavity couples to an underlying silicon waveguide. We report on the device properties using four simulation methods: finite-di ference time-domain (FDTD), finite-elemen method (FEM), bidirectional eigenmode propagation (BEP) and aperiodic rigorous coupled wave analysis (aRCWA). We explain the major confinemen and coupling effects, consistent with the simulation results. E.g. for strong waveguide coupling, we fin quantitative discrepancies between the methods, which establishes the proposed high-index-contrast, lossy, 3D structure as a challenging modeling benchmark. References and links

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Section: Bidirectional Eigenmode Propagation (Bep)mentioning

confidence: 99%

“…For the application in this paper, resonance wavelengths and Q factors are calculated from the eigenvalues of the cavity reflect vity matrix [13], basically with the same procedure as in the case of the BEP technique described above.…”

Section: Aperiodic Rigorous Coupled Wave Analysis (Arcwa)mentioning

confidence: 99%

Simulations of high-Q optical nanocavities with a gradual 1D bandgap

Maes¹,

Petráček²,

Burger³

et al. 2013

Opt. Express

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show abstract

“…Similar to a Fabry Perót resonator, a resonance occurs when an eigenvalue R r of the matrix U becomes close to one. Then, the Q-factor of the mode is given by [27] …”

Section: Device Structure and Simulation Methodsmentioning

confidence: 99%

Ultracompact resonator with high quality-factor based on a hybrid grating structure

Taghizadeh¹,

Mørk²,

Chung³

2015

Opt. Express

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Abstract:We numerically investigate the properties of a hybrid grating structure acting as a resonator with ultrahigh quality factor. This reveals that the physical mechanism responsible for the resonance is quite different from the conventional guided mode resonance (GMR). The hybrid grating consists of a subwavelength grating layer and an un-patterned high-refractive-index cap layer, being surrounded by low index materials. Since the cap layer may include a gain region, an ultracompact laser can be realized based on the hybrid grating resonator, featuring many advantages over high-contrast-grating resonator lasers. The effect of fabrication errors and finite size of the structure is investigated to understand the feasibility of fabricating the proposed resonator. 4337-4340 (2014). 15. S. S. Wang and R. Magnusson, "Theory and applications of guided-mode resonance filters," Appl. Opt. 32(14), 2606-2613 (1993). 16. M. G. Moharam, D. A. Pommet, E. B. Grann, and T. K. Gaylord, "Stable implementation of the rigorous coupledwave analysis for surface-relief gratings: enhanced transmittance matrix approach," J.

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“…In this approach, the round-trip matrix method is employed in real frequency domain instead of complex frequency plane of the QNM approach, but the phase of eigenvalue of matrix U is considered [59]. If R r is the eigenvalue of matrix U, the resonance wavelength λ r is found as the wavelength, which makes the phase of R r zero, i.e.…”

Section: B Fabry-perot Approachmentioning

confidence: 99%

Numerical Investigation of Vertical Cavity Lasers With High-Contrast Gratings Using the Fourier Modal Method

Taghizadeh¹,

Mørk²,

Chung³

2016

J. Lightwave Technol.

Self Cite

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Abstract-We show the strength of the Fourier modal method (FMM) for numerically investigating the optical properties of vertical cavities including subwavelength gratings. Three different techniques for determining the resonance frequency and Q-factor of a cavity mode are compared. Based on that, the Fabry-Perot approach has been chosen due to its numerical efficiency. The computational uncertainty in determining the resonance frequency and Q-factor is investigated, showing that the uncertainty in the Q-factor calculation can be a few orders of magnitude larger than that in the resonance frequency calculation. Moreover, a method for reducing 3D simulations to lower-dimensional simulations is suggested, and is shown to enable approximate and fast simulations of certain device parameters. Numerical calculation of the cavity dispersion, which is an important characteristic of vertical cavities, is illustrated. By employing the implemented FMM, it is shown that adiabatic heterostructures designs are advantageous compared to abrupt heterostructures for minimizing the cavity scattering loss.

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Numerical and Experimental Study of the $Q$ Factor of High-$Q$ Micropillar Cavities

Cited by 37 publications

References 33 publications

Simulations of high-Q optical nanocavities with a gradual 1D bandgap

Simulations of high-Q optical nanocavities with a gradual 1D bandgap

Ultracompact resonator with high quality-factor based on a hybrid grating structure

Numerical Investigation of Vertical Cavity Lasers With High-Contrast Gratings Using the Fourier Modal Method

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