Calculating scattering cross sections in the near field

Analytic proof and numerical verification

Zixuan Hu, Mark A Ratner, Tamar Seideman

Research output: Contribution to journalArticle

Abstract

The scattering cross section (SCS) is a key property in plasmonic studies that carries valuable information on the scattering dynamics. Due to the complexity of fields and the interference from evanescent waves in the near-field region, the SCS is currently calculated in the far-field, which makes the computation costly. In this study we prove analytically that the total SCS is independent of the distance between the closed surface used to calculate the SCS and the scattering structure, hence introducing a numerically inexpensive approach to computing the total SCS, based solely on near-field information. We carry out also two numerical tests of this analytical proof in discretized spaces, verifying its applicability in computations.

Original languageEnglish
Pages (from-to)14-17
Number of pages4
JournalChemical Physics
Volume415
DOIs
Publication statusPublished - Mar 29 2013

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scattering cross sections
near fields
Scattering
evanescent waves
scattering
far fields
interference

Keywords

  • FDTD
  • Finite-difference time-domain
  • Near field
  • Numerical simulation
  • Plasmonics
  • Scattering cross section

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Physics and Astronomy(all)

Cite this

Calculating scattering cross sections in the near field : Analytic proof and numerical verification. / Hu, Zixuan; Ratner, Mark A; Seideman, Tamar.

In: Chemical Physics, Vol. 415, 29.03.2013, p. 14-17.

Research output: Contribution to journalArticle

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