Benchmarking five numerical simulation techniques for computing resonance wavelengths and quality factors in photonic crystal membrane line defect cavities

Abstract

We present numerical studies of two photonic crystal membrane microcavities, a short line-defect cavity with relatively low quality ($Q$) factor and a longer cavity with high $Q$. We use five state-of-the-art numerical simulation techniques to compute the cavity $Q$ factor and the resonance wavelength $\lambda$ for the fundamental cavity mode in both structures. For each method, the relevant computational parameters are systematically varied to estimate the computational uncertainty. We show that some methods are more suitable than others for treating these challenging geometries.

arXiv commentRevised and final version for publication. 28 pages, 10 figures, 7 tables

References in corpus (10)

• Quantum nature of a strongly-coupled single quantum dot-cavity system
• Interfacing single photons and single quantum dots with photonic nanostructures
• Modes and Mode Volumes of Leaky Optical Cavities and Plasmonic Nanoresonators
• Adaptive Finite Element Method for Simulation of Optical Nano Structures
• Slow-wave effect and mode-profile matching in Photonic Crystal microcavities
• Threshold Characteristics of Slow-Light Photonic Crystal Lasers
• Test of the FDTD accuracy in the analysis of the scattering resonances associated with high-Q whispering-gallery modes of a circular cylinder
• A roundtrip matrix method for calculating the leaky resonant modes of open nanophotonic structures
• Numerical Investigation of Vertical Cavity Lasers with Subwavelength Gratings Using the Fourier Modal Method
• Modeling open nanophotonic systems using the Fourier modal method: Generalization to 3D Cartesian coordinates

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• Cavity-waveguide interplay in lossy resonators and its role in optimal single-photon sources
• Fast dispersion tailoring of multimode photonic crystal resonators
• Discontinuities in open photonic waveguides: Rigorous 3D modeling with the finite element method