# Analyzing nonlocal effects in the plasmon spectra of a metal slab by the Green’s function technique for hydrodynamic model

Naijing Kang; Z.L. Miškovic; Ying-Ying Zhang; Yuan-Hong Song; You-Nian Wang

Nanoscale Systems: Mathematical Modeling, Theory and Applications (2014)

- Volume: 3, Issue: 1
- ISSN: 2299-3290

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topNaijing Kang, et al. "Analyzing nonlocal effects in the plasmon spectra of a metal slab by the Green’s function technique for hydrodynamic model." Nanoscale Systems: Mathematical Modeling, Theory and Applications 3.1 (2014): null. <http://eudml.org/doc/269338>.

@article{NaijingKang2014,

abstract = {We study the dynamic response of a metal slab containing electron gas described by the hydrodynamic model with dispersion. The resulting wave equation for the perturbed electron density is solved by means of the Green’s function that satisfies Neumann boundary conditions at the endpoints of the slab. This solution is coupled with the electrostatic potential, which is expressed in terms of the Green’s function for the Poisson equation for a layered structure consisting of three dielectric regions. As an illustration, a set of dispersion relations for eigenfrequencies is deduced for the plasma oscillations in the electron gas, corresponding to both the surface and the bulk modes of even and odd symmetry with respect to the center of the metal slab.},

author = {Naijing Kang, Z.L. Miškovic, Ying-Ying Zhang, Yuan-Hong Song, You-Nian Wang},

journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},

keywords = {hydrodynamic model; Green’s function; plasmon dispersion},

language = {eng},

number = {1},

pages = {null},

title = {Analyzing nonlocal effects in the plasmon spectra of a metal slab by the Green’s function technique for hydrodynamic model},

url = {http://eudml.org/doc/269338},

volume = {3},

year = {2014},

}

TY - JOUR

AU - Naijing Kang

AU - Z.L. Miškovic

AU - Ying-Ying Zhang

AU - Yuan-Hong Song

AU - You-Nian Wang

TI - Analyzing nonlocal effects in the plasmon spectra of a metal slab by the Green’s function technique for hydrodynamic model

JO - Nanoscale Systems: Mathematical Modeling, Theory and Applications

PY - 2014

VL - 3

IS - 1

SP - null

AB - We study the dynamic response of a metal slab containing electron gas described by the hydrodynamic model with dispersion. The resulting wave equation for the perturbed electron density is solved by means of the Green’s function that satisfies Neumann boundary conditions at the endpoints of the slab. This solution is coupled with the electrostatic potential, which is expressed in terms of the Green’s function for the Poisson equation for a layered structure consisting of three dielectric regions. As an illustration, a set of dispersion relations for eigenfrequencies is deduced for the plasma oscillations in the electron gas, corresponding to both the surface and the bulk modes of even and odd symmetry with respect to the center of the metal slab.

LA - eng

KW - hydrodynamic model; Green’s function; plasmon dispersion

UR - http://eudml.org/doc/269338

ER -

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