Calculating scattering cross sections in the near field: Analytic proof and numerical verification

Zixuan Hu, Mark A. Ratner, Tamar Seideman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 (US)
Pages (from-to)14-17
Number of pages4
JournalChemical Physics
StatePublished - Mar 29 2013


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

ASJC Scopus subject areas

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


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