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

Abstract

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

Explanation of extraordinary transmission on 1-D and 2-D metallic gratings

“…Rigorous numerical calculations of the optical response were performed using our efficient in-house developed software based on the RCWA method, 28,29 incorporating several special treatments such as proper Li's factorization, adaptive spatial resolution, and incorporation of special symmetries. The metallic dispersion behaviour is characterized according to experimental data.…”

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

“…A similar study of PhC nanobeam cavities using four numerical techniques was reported in [18], where cavity frequencies and Q factors were investigated as function of physical parameters. Qualitative agreement between the four methods was found, but with quantitative discrepancies in some cases being as large as an order of magnitude, and no computational uncertainty estimates were given.…”

Morphological studies of resonances in plasmonic metasurfaces for SPR sensing

“…The software used for simulations in this paper is our in-house implementation of RCWA algorithms both in periodic (applicable for simulation of periodic structures) and aperiodic versions (applicable for simulation of isolated "aperiodic" structures), developed in MATLAB programming enviroment 15 . Our RCWA tool allows for calculating the energy (in terms of reflectivities R, transmissivities T , and losses L) and amplitude (fields and all S-parameters of a structure) characteristics of periodical 2D structures, together with displaying the required calculated field profiles.…”

“…The software reliability has been tested many times, involving various advanced computational problems (see, e.g. Špačková et al 14 , Maes et al 15 , Fiala et al 16 ).…”

“…The parameters of the resonant curves are directly determined with the parameters of the metasurface resonant structure, hence tailoring the geometry and morphology of these structures may be a promising way to reach novel promising candidates for SPR biosensing. Our analysis here, based on previous experience with advanced numerical modeling (including metamaterials and metasurfaces), relays on proprietary in-house two-dimensional rigorous coupled wave analysis (RCWA) technique 15 , a version of the modeling method from the Fourier modal method family. Our analysis is based on previous experience with numerical modeling of metamaterials and metasurfaces 16 .…”