The Finite-Element Method, Part 2: P. P. Silvester, an Innovator in Electromagnetic Numerical Modeling

Ferrari, Ronald L.

doi:10.1109/map.2007.4293978

Cited by 9 publications

(4 citation statements)

References 162 publications

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“…There is a variety of methods to simulate the propagation of electromagnetic waves through media, for example, the finite-difference time-domain (FDTD) method [31], the finite-element method (FEM) [32,33], the finite integration technique (FIT) [34] or the pseudospectral time domain (PSTD) method [35]. We chose yet another method, namely an eigenmode expansion method [36] for our calculations of a laser pulse propagating through a dielectric grating.…”

Section: Simulation Of Acceleration At a Single Dielectric Gratingmentioning

confidence: 99%

Dielectric laser acceleration of electrons in the vicinity of single and double grating structures—theory and simulations

Breuer

McNeur

Hommelhoff

2014

J. Phys. B: At. Mol. Opt. Phys.

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Dielectric laser acceleration of electrons close to a fused-silica grating has recently been observed [Peralta et al., Nature 503, 91 (2013); Breuer, Hommelhoff, PRL 111, 134803 (2013)]. Here we present the theoretical description of the near-fields close to such a grating that can be utilized to accelerate non-relativistic electrons. We also show simulation results of electrons interacting with such fields in a single and double grating structure geometry and discuss dephasing effects that have to be taken into account when designing a photonic-structure-based accelerator for non-relativistic electrons. We further model the space charge effect using the paraxial ray equation and discuss the resulting expected peak currents for various parameter sets.

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Section: Simulation Of Acceleration At a Single Dielectric Gratingmentioning

confidence: 99%

Dielectric laser acceleration of electrons in the vicinity of single and double grating structures—theory and simulations

Breuer

McNeur

Hommelhoff

2014

J. Phys. B: At. Mol. Opt. Phys.

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“…To provide a correct description of the system, we built a multiscale model of the system, yielding the electrical properties at the macroscopic level and used the results as boundary conditions for an atomistic calculation-this is similar to a recent approach for including LR electrostatics into first-principles calculations [46]. Figure 3(a) shows the macroscopic setup, including the cantilever-tip assembly and the LiF sample; the electrostatic potential of this system is calculated with the finite element method [47,48], including the full thickness of the dielectric, as implemented in the commercial COMSOL package [49]. The generated field is then used as the boundary conditions for an atomistic calculation of a Li 910 F 910 surface slab [see Fig.…”

Section: Prl 109 146101 (2012) P H Y S I C a L R E V I E W L E T T Ementioning

confidence: 99%

Measuring Electric Field Induced Subpicometer Displacement of Step Edge Ions

et al. 2012

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We provide unambiguous evidence that the applied electrostatic field displaces step atoms of ionic crystal surfaces by subpicometers in different directions via the measurement of the lateral force interactions by bimodal dynamic force microscopy combined with multiscale theoretical simulations. Such a small imbalance in the electrostatic interaction of the shifted anion-cation ions leads to an extraordinary long-range feature potential variation and is now detectable with the extreme sensitivity of the bimodal detection.

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“…Nowadays, the FDTD method is the most popular EM simulation method due to its simplicity. Most studies on numerical simulation of microwave heating were carried out by using FDTD method [83] [107] is a technique to solve the PDE numerically. According to the variational principle, the PDE is transformed to an equivalent variational.…”

Section: B Numerical Methodsmentioning

confidence: 99%