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In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

High-Q optical resonances in photonic microcavities are investigated numerically using a time-harmonic finite-element method.

Optics · Physics 2011-02-23 S. Burger , J. Pomplun , F. Schmidt , L. Zschiedrich

Rigorous computer simulations of propagating electromagnetic fields have become an important tool for optical metrology and optics design of nanostructured components. As has been shown in previous benchmarks some of the presently used…

Optical properties of hybrid plasmonic waveguides and of low-Q cavities, formed by waveguides of finite length are investigated numerically. These structures are of interest as building-blocks of plasmon lasers. We use a time-harmonic…

Optics · Physics 2010-09-09 S. Burger , L. Zschiedrich , J. Pomplun , F. Schmidt

We use a finite-element method to obtain highly converged results for a nano-optical light scattering setup with a non-periodic geometry.

Optics · Physics 2013-10-11 S. Burger , L. Zschiedrich , J. Pomplun , F. Schmidt

We introduce a new formulation for the finite element immersed boundary method which makes use of a distributed Lagrange multiplier. We prove that a full discretization of our model, based on a semi-implicit time advancing scheme, is…

Numerical Analysis · Mathematics 2015-03-05 Daniele Boffi , Nicola Cavallini , Lucia Gastaldi

We propose, solve, and discuss a simple model for a metamaterial incorporating optical gain: A single bosonic resonance is coupled to a fermionic (inverted) two-level-system resonance via local-field interactions. For given steady-state…

Modeling of physical systems includes extensive use of software packages that implement the accurate finite element method for solving differential equations considered along with the appropriate initial and boundary conditions. When the…

Computational Engineering, Finance, and Science · Computer Science 2018-03-20 O. Kononenko , I. Kononenko

Numerical simulations of waves in highly heterogeneous media have important applications, but direct computations are prohibitively expensive. In this paper, we develop a new generalized multiscale finite element method with the aim of…

Numerical Analysis · Mathematics 2015-09-09 Eric T. Chung , Wing Tat Leung

A general model is formulated for elasto-plastic materials undergoing linear kinematic hardening to describe microstructure evolution associated with phase transformations. Using infinitesimal strain theory, the model is based on…

Computational Engineering, Finance, and Science · Computer Science 2026-02-20 Sarah Dinkelacker-Steinhoff , Klaus Hackl

The precise measurement of the gain lifetime at a specific wavelength holds significant importance for understanding the properties of photonic devices and further improving their performances. Here, we show that the evolution of gains can…

Optics · Physics 2018-10-10 Xiao-Fei Liu , Fuchuan Lei , Tie-Jun Wang , Gui-Lu Long , Chuan Wang

We present a computational scheme allowing for a self-consistent treatment of a dispersive metallic photonic metamaterial coupled to a gain material incorporated into the nanostructure. The gain is described by a generic four-level system.…

Optics · Physics 2015-05-13 A. Fang , Th. Koschny , M. Wegener , C. M. Soukoulis

In our work we focus on the accurate computation of light propagation in finite size photonic crystal structures with the finite element method (FEM). We discuss how we utilize numerical concepts like high-order finite elements, transparent…

Optics · Physics 2015-05-13 Jan Pomplun , Lin Zschiedrich , Roland Klose , Frank Schmidt , Sven Burger

We present an efficient mixed finite element method to solve the fourth-order thin film flow equations using moving mesh refinement. The moving mesh strategy is based on harmonic mappings developed by Li et al. [J. Comput. Phys., 170…

Numerical Analysis · Mathematics 2018-01-17 Hong Zhang , Paul A Zegeling

A new framework for two-fluids flow using a Finite Element/Level Set method is presented and verified through the simulation of the rising of a bubble in a viscous fluid. This model is then enriched to deal with vesicles (which mimic red…

Numerical Analysis · Mathematics 2012-02-06 Vincent Doyeux , Yann Guyot , Vincent Chabannes , Christophe Prud'Homme , Mourad Ismail

This work is devoted to the development of an efficient and robust technique for accurate capturing of the electric field in multi-material problems. The formulation is based on the finite element method enriched by the introduction of…

This work reports the dynamical thermal behavior of lasing microspheres placed on a dielectric substrate while they are homogeneously heated-up by the top-pump laser used to excite the active medium. The lasing modes are collected in the…

Light transmission through circular subwavelength apertures in metallic films with surrounding nanostructures is investigated numerically. Numerical results are obtained with a frequency-domain finite-element method. Convergence of the…

Optics · Physics 2009-05-28 S. Burger , B. H. Kleemann , L. Zschiedrich , F. Schmidt

An extremely fast time-harmonic finite element solver developed for the transmission analysis of photonic crystals was applied to mask simulation problems. The applicability was proven by examining a set of typical problems and by a…

Optics · Physics 2009-05-28 S. Burger , R. Köhle , L. Zschiedrich , W. Gao , F. Schmidt , R. März , C. Nölscher

Motivated by applications to numerical simulation of flows in highly heterogeneous porous media, we develop multiscale finite element methods for second order elliptic equations. We discuss a multiscale model reduction technique in the…

Numerical Analysis · Mathematics 2015-06-15 Y. Efendiev , J. Galvis , R. Lazarov , M. Moon , M. Sarkis
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