The finite element method in electromagnetics

By M. Salazar-Palma, L. García-Castillo, Tapan K. Sarkar, Carretera de Valencia. 2000

3,135 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/be6ecb89e0ae83e49bbbe682823df8d321209e61

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Citations in the corpus

Meep: A flexible free-software package for electromagnetic simulations by the FDTD method (2010, methodology): “In principle, the solution of such problems need not involve time at all, but involve solving a linear equatio n purely in the frequency domain [22, appendix D]; this can be achieved by many methods, such as fini te-element methods [6, 7, 8], boundary-element methods [9, 10, 11, 12], or finite-di ff”
The rich photonic world of plasmonic nanoparticle arrays (2017, methodology): “Besides analytical models, numerical methods such as finitedifference time-domain (FDTD) [52] approaches and finite element methods (FEMs) [53] solve Maxwell’s equations on a meshed grid and can generate not only far-field spectra but also near-field properties such as phase, field intensity, and ch”
Ltd Registered in England and Wales Registered Number : 1072954 Registered office : (2004, unknown): “There are multiple approaches, which have been applied to light scattering analysis: Finite Difference Time Domain (FDTD) [1], Finite Element Method (FEM) [2], Coupled Dipole Approximation (CDA) [3], Volume Integral Equation (VIE) [4], Multiple MultiPole Technique (MMP) [5], T-matrix method [6] and ”
Discontinuous Galerkin methods in nanophotonics (2011, methodology): “FEM works on a non-uniform mesh which is adapted to the geometry of interest.”
S4 : A free electromagnetic solver for layered periodic structures (2012, methodology): “External routines: Lua [1] and optionally exploits additional free software packages: FFTW [2], CHOLMOD [3], MPI message-passing interface [4], LAPACK and BLAS linear-algebra software [5], and Kiss FFT [6].”
A 3-D spectral-element method using mixed-order curl conforming vector basis functions for electromagnetic fields (2006, methodology): “Among these, the finite-element method (FEM) has become a popular numerical technique because of its superior versatility in geometry and material modeling [1], [2].”
Fast Simulation of 3D Electromagnetic Problems Using Potentials (2000, methodology): “Usually, the elds A and are computed solely for the purpose of calculatingE andH in post-processing; thus, computing E directly from (3a) (as suggested in [1, 20, 24, 12, 21]) involves a loss of accuracy due to numerical di erentiation to obtain a possibly discontinuous r .”
Understanding leaky modes: slab waveguide revisited (2009, methodology): “o simulate outgoing boundary conditions, the finite-difference and nite-element approaches are usually implemented with an absorbing layer at he simulation boundary in which the index of refraction is complex [5].”
Modes of random lasers (2010, methodology): “We have also used the Finite Element Method (FEM) [ 57 ], implemented in a commercial software (Comsol™), to solve the wave equation (30) and calculate the complex eigenvalues and eigenfunctions of the passive modes of the systems that were calculated by the multipole method.”
Silicon Photonics Circuit Design: Methods, Tools and Challenges (2018, methodology): “This is done by calculating the propagation of light waves through the geometry, using electromagnetic modeling techniques such as finite difference time domain (FDTD),[59] eigenmode expansion (EME),[60] finite element (FE)[61] or beam-propagation method (BPM).”
Topology Optimization of Photonic and Phononic Crystals and Metamaterials: A Review (2019, methodology): “In their subsequent work,[247] the effective permeability computed by the S parameters[250] was directly used in objective functions.”
A Nonlocal Operator Method for Partial Differential Equations with Application to Electromagnetic Waveguide Problem (2019, methodology): “The general differential form of the Maxwell equations [Jin (2015)] are given by (Faraday s law) (Maxwell-Ampere law) (Gauss s law) 0 (Gauss s law-magnetic) , (equation of continuity) t t t ρ ρ ∂ ′∇× = − ∂ ∂ ∇× = + ∂ ′∇ ⋅ = ′∇ ⋅ = ∂ ∇ ⋅ = − ∂ BE DH J D B J (1) with E =electric field intensity…”
Time domain adaptive integral method for surface integral equations (2004, methodology): “In this context, marching-onin-time based time-domain integral-equation (MOT-TDIE) solvers provide an increasingly appealing alternative to finite difference/element based simulation engines [1, 2].”
A Three-Dimensional Semi-Implicit FDTD Scheme for Calculation of Shielding Effectiveness of Enclosure With Thin Slots (2007, methodology): “There are many numerical methods that can be used to solve this problem such as the finite-difference time-domain (FDTD) method [1], finite-element method (FEM) [2], method of moments (MoM) [3], etc.”
Modes of Subwavelength Plasmonic Slot Waveguides (2007, methodology): “To calculate the bound eigenmodes of the waveguide, we ensure that the size of the computational domain is large enough so that the fields are negligibly small at its boundaries [22], whereas for leaky modes, we use perfectly matched layer absorbing boundary conditions [21].”
Negative curvature fibers (2017, methodology): “It takes 7 s and 29 s on a desktop computer with a CPU speed of 3.4 GHz using the mode-matching method and the FEM, respectively, to find the effective index of the mode in the annular core fiber shown in Fig.”
Numerical Methods for Evolutionary Differential Equations (2008, methodology): “There are various approaches for performing the discretization, such as finite elements [158, 19, 35, 103, 67], spectral methods [45, 169, 32], and particle methods.”
Time-Domain Finite-Difference and Finite-Element Methods for Maxwell Equations in Complex Media (2008, background): “wave equation (for either the electric or magnetic field) [4], [13], [28], [29], which is discretized by expanding the unknown field in terms of local basis functions, most often (curl-conforming) Whitney edge elements [30], followed by application”