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Methods for solving Maxwell's equations are integral part of optical metrology and computational lithography setups. Applications require accurate geometrical resolution, high numerical accuracy and/or low computation times. We present a…

Optics · Physics 2015-03-24 S. Burger , L. Zschiedrich , J. Pomplun , S. Herrmann , F. Schmidt

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…

A method for automatic computation of parameter derivatives of numerically computed light scattering signals is demonstrated. The finite-element based method is validated in a numerical convergence study, and it is applied to investigate…

Optics · Physics 2013-04-17 S. Burger , L. Zschiedrich , J. Pomplun , F. Schmidt , B. Bodermann

The finite-element method is a preferred numerical method when electromagnetic fields at high accuracy are to be computed in nano-optics design. Here, we demonstrate a finite-element method using hp-adaptivity on tetrahedral meshes for…

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

We discuss realization, properties and performance of the adaptive finite element approach to the design of nano-photonic components. Central issues are the construction of vectorial finite elements and the embedding of bounded components…

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

We present rigorous 3D EMF simulations of isolated features on photomasks using a newly developed finite-element method. We report on the current status of the finite-element solver JCMsuite, incorporating higher-order edge elements,…

Optics · Physics 2009-05-28 S. Burger , L. Zschiedrich , F. Schmidt , R. Köhle , B. Küchler , C. Nölscher

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

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

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

An overview on recent applications of the finite-element method Maxwell-solver JCMsuite to simulation tasks in nanooptics is given. Numerical achievements in the fields of optical metamaterials, plasmonics, photonic crystal fibers, light…

Optics · Physics 2013-04-17 S. Burger , L. Zschiedrich , J. Pomplun , M. Blome , F. Schmidt

Miniaturized optical resonators with spatial dimensions of the order of the wavelength of the trapped light offer prospects for a variety of new applications like quantum processing or construction of meta-materials. Light propagation in…

Computational Physics · Physics 2009-05-28 L. Zschiedrich , S. Burger , B. Kettner , F. Schmidt

Rigorous electromagnetic field simulations are an essential part for scatterometry and mask pattern design. Today mainly periodic structures are considered in simulations. Non-periodic structures are typically modeled by large, artificially…

Optics · Physics 2009-11-13 L. Zschiedrich , F. Schmidt

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

Fitted finite element methods are constructed for a singularly perturbed convection-diffusion problem in two space dimensions. Exponential splines as basis functions are combined with Shishkin meshes to obtain a stable parameter-uniform…

Numerical Analysis · Mathematics 2023-10-03 Alan F. Hegarty , Eugene O'Riordan

The finite element method has become a preeminent simulation technique in electromagnetics. For problems involving anisotropic media and metamaterials, proper algorithms should be developed. It has been proved that discretizing in quadratic…

Mathematical Physics · Physics 2009-10-21 E. Cojocaru

An efficient method for the calculation of ferromagnetic resonant modes of magnetic structures is presented. Finite-element discretization allows flexible geometries and location dependent material parameters. The resonant modes can be used…

Computational Physics · Physics 2018-12-26 Florian Bruckner , Massimiliano d'Aquino , Claudio Serpico , Claas Abert , Christoph Vogler , Dieter Suess

Adaptive finite elements are the method of choice for accurate simulations of optical components. However as shown recently by Bienstman et al. many finite element mode solvers fail to compute the propagation constant's imaginary part of a…

Optics · Physics 2009-05-28 L. Zschiedrich , S. Burger , J. Pomplun , F. Schmidt

We present a finite element method (FEM) solver for computation of optical resonance modes in VCSELs. We perform a convergence study and demonstrate that high accuracies for 3D setups can be attained on standard computers. We also…

Optics · Physics 2012-03-02 M. Rozova , J. Pomplun , L. Zschiedrich , F. Schmidt , S. Burger

We present a finite-element simulation tool for calculating light fields in 3D nano-optical devices. This allows to solve challenging problems on a standard personal computer. We present solutions to eigenvalue problems, like Bloch-type…

Optics · Physics 2009-05-28 S. Burger , R. Klose , A. Schaedle , F. Schmidt , L. Zschiedrich
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