Generalized finite-element method for magnetized nanoparticles

Plaks, A.; Tsukerman, Igor; Friedman, G.; Yellen, Benjamin B.

doi:10.1109/tmag.2003.810408

Cited by 25 publications

(15 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Therefore, a great deal of effort has been put into the development of numerical methods in order to tackle metallic nanostructures. Some representative methods are the Discrete Dipole Approximation (DDA) [19], the Multiple Multipole methods (MMP) [20], and other more general electromagnetic field solvers like the Finite Difference Time Domain (FDTD) [21] and the Finite Element Methods (FEM) [22].…”

Section: Methodsmentioning

confidence: 99%

Study of metallic nanoshelled structures with rigorous electromagnetic analysis

et al. 2007

View full text Add to dashboard Cite

The main goal of this paper is to present thorough investigations for the metallic nanoshelled structures with rigorous electromagnetic analysis. Two metallic nanoshelled structures are investigated; namely, single nano-shelled cylinder, and nano-shelled photonic crystals. A rigorous Maxwell's equations solver is used to get insights into the optical properties of the structures. Our numerical simulations show that it is difficult to shift the plasmon resonance to long wavelength (e.g. towards ten micrometers) in such a structure. Flat bands are found in the metallic nanoshelled photonic crystals when the lattice constants are much smaller than the operating wavelength. This would become interesting especially for realizing ultra-compact slow wave structures such as plasmonic devices with low group velocity. Several applications using nano-shelled particles as sensors, as substrates for surface enhanced Raman spectroscopy are also discussed in the paper.

show abstract

Section: Methodsmentioning

confidence: 99%

Study of metallic nanoshelled structures with rigorous electromagnetic analysis

et al. 2007

View full text Add to dashboard Cite

show abstract

“…Babuška et al [5] apply GFEM (still at the early stages of development in 1994) to problems with material interfaces. Plaks et al [90] implemented GFEM for problems with magnetized particles. The main advantage of GFEM is that the approximating functions can in principle be arbitrary and are certainly not limited to polynomials.…”

Section: Generalized Fem By Partition Of Unitymentioning

confidence: 99%

“…The computation of gradients and implementation of the Dirichlet conditions also get more complicated. In addition, GFEM-PU may lead to a combinatorial increase in the number of degrees of freedom [90,110]. An even greater difficulty in GFEM-PU is the high cost of the Galerkin quadratures that need to be computed numerically in geometrically complex 3D regions (intersections of overlapping patches).…”

Section: Generalized Fem By Partition Of Unitymentioning

confidence: 99%

See 1 more Smart Citation

A class of difference schemes with flexible local approximation

Tsukerman

2006

Journal of Computational Physics

View full text Add to dashboard Cite

“…Neste trabalho o Método de Elementos Finitos Generalizado (MEFG), com o auxílio da funções de ondas planas, que são utilizadas para enriquecer as funções de forma do tracional Método de Elemento Finito (MEF), será utilizado para resolver a equação de Helmholtz [1,6,7]. Utilizando as funções de ondas planas, que são soluções analíticas da Equação de Helmholtz para enriquecer a Partição da Unidade (PU) do MEF e uma malha 2 com resolução maior que um comprimento de onda, o MEFG apresenta resultados com uma boa precisão numérica, quando aplicado a problemas de propagação e espalhamento de ondas [2].…”

Section: Introductionunclassified