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Related papers: Finite-Element Method Simulations of High-Q Nanoca…

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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

Optical resonances in 1D photonic crystal microcavities are investigated numerically using finite-element light scattering and eigenmode solvers. The results are validated by comparison to experimental and theoretical findings from the…

Optics · Physics 2010-03-12 S. Burger , F. Schmidt , L. Zschiedrich

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

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…

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…

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

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

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 the Finite Element Method (FEM) for the numerical solution of the multidimensional coefficient inverse problem (MCIP) in two dimensions. This method is used for explicit reconstruction of the coefficient in the hyperbolic…

Numerical Analysis · Mathematics 2016-03-25 L. Beilina

Calculations of the photonic band structure, transmission coefficients, and quality factors of various two-dimensional, periodic and aperiodic, dielectric photonic crystals by using the finite element method (FEM) are reported. The…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Imanol Andonegui , Angel J. Garcia-Adeva

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

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

A finite element method is presented to compute time harmonic microwave fields in three dimensional configurations. Nodal-based finite elements have been coupled with an absorbing boundary condition to solve open boundary problems. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Christian Vollaire , Laurent Nicolas , Alain Nicolas

Numerical calculation of modes in dispersive and absorptive systems is performed using the finite element method. The dispersion is tackled in the frame of an extension of Maxwell's equations where auxiliary fields are added to the…

Optics · Physics 2016-04-20 Yoann Brûlé , Guillaume Demésy , Boris Gralak

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

In this work, we present an efficient numerical implementation of the finite element method for modal analysis that leverages various symmetry operations, including spatial symmetry in point groups and space-time symmetry in…

Optics · Physics 2024-09-12 Jingwei Wang , Lida Liu , Yuhao Jing , Zhongfei Xiong , Yuntian Chen

Optical chirality has been recently suggested to complement the physically relevant conserved quantities of the well-known Maxwell's equations. This time-even pseudoscalar is expected to provide further insight in polarization phenomena of…

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

This manuscript presents the Quantum Finite Element Method (Q-FEM) developed for use in noisy intermediate-scale quantum (NISQ) computers and employs the variational quantum linear solver (VQLS) algorithm. The proposed method leverages the…

Quantum Physics · Physics 2025-04-01 Abhishek Arora , Benjamin M. Ward , Caglar Oskay
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