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

Zixuan Hu; Mark A. Ratner; Tamar Seideman

doi:10.1016/j.chemphys.2013.01.033

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

Chemistry

Research output: Contribution to journal › Article › peer-review

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 (US)
Pages (from-to)	14-17
Number of pages	4
Journal	Chemical Physics
Volume	415
DOIs	https://doi.org/10.1016/j.chemphys.2013.01.033
State	Published - Mar 29 2013

Keywords

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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10.1016/j.chemphys.2013.01.033

Cite this

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title = "Calculating scattering cross sections in the near field: Analytic proof and numerical verification",

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.",

keywords = "FDTD, Finite-difference time-domain, Near field, Numerical simulation, Plasmonics, Scattering cross section",

author = "Zixuan Hu and Ratner, {Mark A.} and Tamar Seideman",

note = "Funding Information: The authors are grateful to the National Science Foundation (Grant No. CHE-1012207/001 ) and to the US-Israel Binational Foundation (Grant No. 2008124 ) for support. MR thanks the NSF for support ( CHE1058896 ). Copyright: Copyright 2013 Elsevier B.V., All rights reserved.",

year = "2013",

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doi = "10.1016/j.chemphys.2013.01.033",

language = "English (US)",

volume = "415",

pages = "14--17",

journal = "Chemical Physics",

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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

N1 - Funding Information: The authors are grateful to the National Science Foundation (Grant No. CHE-1012207/001 ) and to the US-Israel Binational Foundation (Grant No. 2008124 ) for support. MR thanks the NSF for support ( CHE1058896 ). Copyright: Copyright 2013 Elsevier B.V., All rights reserved.

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

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VL - 415

SP - 14

EP - 17

JO - Chemical Physics

JF - Chemical Physics

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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