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Title: Quantization of surface charge density on hyperboloidal and paraboloidal domains with application to plasmon decay rate on nanoprobes

Abstract

We report that field quantization in high curvature geometries help understanding the elastic and inelastic scattering of photons and electrons in nanostructures and probelike metallic domains. The results find important applications in high-resolution photonic and electronic modalities of scanning probe microscopy, nano-optics, plasmonics, and quantum sensing. We present a calculation of relevant photon interactions in both hyperboloidal and paraboloidal material domains. The two morphologies are compared for their plasmon dispersion properties, field distributions, and radiative decay rates, which are shown to be consistent with the corresponding quantities for the finite prolate spheroidal domains. Finally, the results are relevant to other material domains that model a nanostructure such as a probe tip, quantum dot, or nanoantenna.

Authors:
 [1];  [1];  [1]; ORCiD logo [2]
  1. Univ. of South Florida, Tampa, FL (United States). Department of Mathematics and Statistics
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States). Department of Physics
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1474579
Alternate Identifier(s):
OSTI ID: 1476134
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; Journal Issue: 12; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Bagherian, M., Koucheckian, Sherwin, Rothstein, Ivan, and Passian, Ali. Quantization of surface charge density on hyperboloidal and paraboloidal domains with application to plasmon decay rate on nanoprobes. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.98.125413.
Bagherian, M., Koucheckian, Sherwin, Rothstein, Ivan, & Passian, Ali. Quantization of surface charge density on hyperboloidal and paraboloidal domains with application to plasmon decay rate on nanoprobes. United States. doi:10.1103/PhysRevB.98.125413.
Bagherian, M., Koucheckian, Sherwin, Rothstein, Ivan, and Passian, Ali. Tue . "Quantization of surface charge density on hyperboloidal and paraboloidal domains with application to plasmon decay rate on nanoprobes". United States. doi:10.1103/PhysRevB.98.125413. https://www.osti.gov/servlets/purl/1474579.
@article{osti_1474579,
title = {Quantization of surface charge density on hyperboloidal and paraboloidal domains with application to plasmon decay rate on nanoprobes},
author = {Bagherian, M. and Koucheckian, Sherwin and Rothstein, Ivan and Passian, Ali},
abstractNote = {We report that field quantization in high curvature geometries help understanding the elastic and inelastic scattering of photons and electrons in nanostructures and probelike metallic domains. The results find important applications in high-resolution photonic and electronic modalities of scanning probe microscopy, nano-optics, plasmonics, and quantum sensing. We present a calculation of relevant photon interactions in both hyperboloidal and paraboloidal material domains. The two morphologies are compared for their plasmon dispersion properties, field distributions, and radiative decay rates, which are shown to be consistent with the corresponding quantities for the finite prolate spheroidal domains. Finally, the results are relevant to other material domains that model a nanostructure such as a probe tip, quantum dot, or nanoantenna.},
doi = {10.1103/PhysRevB.98.125413},
journal = {Physical Review B},
number = 12,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

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