### 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 language | English |
---|---|

Pages (from-to) | 14-17 |

Number of pages | 4 |

Journal | Chemical Physics |

Volume | 415 |

DOIs | |

Publication status | Published - Mar 29 2013 |

### Fingerprint

### 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

*Chemical Physics*,

*415*, 14-17. https://doi.org/10.1016/j.chemphys.2013.01.033

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

Research output: Contribution to journal › Article

*Chemical Physics*, vol. 415, pp. 14-17. https://doi.org/10.1016/j.chemphys.2013.01.033

}

TY - JOUR

T1 - Calculating scattering cross sections in the near field

T2 - Analytic proof and numerical verification

AU - Hu, Zixuan

AU - Ratner, Mark A

AU - Seideman, Tamar

PY - 2013/3/29

Y1 - 2013/3/29

N2 - 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.

AB - 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.

KW - FDTD

KW - Finite-difference time-domain

KW - Near field

KW - Numerical simulation

KW - Plasmonics

KW - Scattering cross section

UR - http://www.scopus.com/inward/record.url?scp=84875710052&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84875710052&partnerID=8YFLogxK

U2 - 10.1016/j.chemphys.2013.01.033

DO - 10.1016/j.chemphys.2013.01.033

M3 - Article

AN - SCOPUS:84875710052

VL - 415

SP - 14

EP - 17

JO - Chemical Physics

JF - Chemical Physics

SN - 0301-0104

ER -