Classical theory for second-harmonic generation from metallic nanoparticles

Yong Zeng, Walter Hoyer, Jinjie Liu, Stephan W Koch, Jerome V Moloney

Research output: Contribution to journalArticle

135 Citations (Scopus)

Abstract

In this paper, we develop a classical electrodynamic theory to study the optical nonlinearities of metallic nanoparticles. The quasi free electrons inside the metal are approximated as a classical Coulomb-interacting electron gas, and their motion under the excitation of an external electromagnetic field is described by the plasma equations. This theory is further tailored to study second-harmonic generation. Through detailed experiment-theory comparisons, we validate this classical theory as well as the associated numerical algorithm. It is demonstrated that our theory not only provides qualitative agreement with experiments but it also reproduces the overall strength of the experimentally observed second-harmonic signals.

Original languageEnglish (US)
Article number235109
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume79
Issue number23
DOIs
StatePublished - Jun 4 2009

Fingerprint

Harmonic generation
electrodynamics
free electrons
electron gas
harmonic generations
electromagnetic fields
nonlinearity
Nanoparticles
harmonics
nanoparticles
Electron gas
Electrodynamics
metals
Electromagnetic fields
excitation
Metals
Experiments
Plasmas
Electrons

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Classical theory for second-harmonic generation from metallic nanoparticles. / Zeng, Yong; Hoyer, Walter; Liu, Jinjie; Koch, Stephan W; Moloney, Jerome V.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 79, No. 23, 235109, 04.06.2009.

Research output: Contribution to journalArticle

@article{0eb5819a2f4d4aa7a6fd5bbd16de3200,
title = "Classical theory for second-harmonic generation from metallic nanoparticles",
abstract = "In this paper, we develop a classical electrodynamic theory to study the optical nonlinearities of metallic nanoparticles. The quasi free electrons inside the metal are approximated as a classical Coulomb-interacting electron gas, and their motion under the excitation of an external electromagnetic field is described by the plasma equations. This theory is further tailored to study second-harmonic generation. Through detailed experiment-theory comparisons, we validate this classical theory as well as the associated numerical algorithm. It is demonstrated that our theory not only provides qualitative agreement with experiments but it also reproduces the overall strength of the experimentally observed second-harmonic signals.",
author = "Yong Zeng and Walter Hoyer and Jinjie Liu and Koch, {Stephan W} and Moloney, {Jerome V}",
year = "2009",
month = "6",
day = "4",
doi = "10.1103/PhysRevB.79.235109",
language = "English (US)",
volume = "79",
journal = "Physical Review B-Condensed Matter",
issn = "0163-1829",
publisher = "American Institute of Physics Publising LLC",
number = "23",

}

TY - JOUR

T1 - Classical theory for second-harmonic generation from metallic nanoparticles

AU - Zeng, Yong

AU - Hoyer, Walter

AU - Liu, Jinjie

AU - Koch, Stephan W

AU - Moloney, Jerome V

PY - 2009/6/4

Y1 - 2009/6/4

N2 - In this paper, we develop a classical electrodynamic theory to study the optical nonlinearities of metallic nanoparticles. The quasi free electrons inside the metal are approximated as a classical Coulomb-interacting electron gas, and their motion under the excitation of an external electromagnetic field is described by the plasma equations. This theory is further tailored to study second-harmonic generation. Through detailed experiment-theory comparisons, we validate this classical theory as well as the associated numerical algorithm. It is demonstrated that our theory not only provides qualitative agreement with experiments but it also reproduces the overall strength of the experimentally observed second-harmonic signals.

AB - In this paper, we develop a classical electrodynamic theory to study the optical nonlinearities of metallic nanoparticles. The quasi free electrons inside the metal are approximated as a classical Coulomb-interacting electron gas, and their motion under the excitation of an external electromagnetic field is described by the plasma equations. This theory is further tailored to study second-harmonic generation. Through detailed experiment-theory comparisons, we validate this classical theory as well as the associated numerical algorithm. It is demonstrated that our theory not only provides qualitative agreement with experiments but it also reproduces the overall strength of the experimentally observed second-harmonic signals.

UR - http://www.scopus.com/inward/record.url?scp=67649973798&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67649973798&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.79.235109

DO - 10.1103/PhysRevB.79.235109

M3 - Article

AN - SCOPUS:67649973798

VL - 79

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 0163-1829

IS - 23

M1 - 235109

ER -