Plasmon dispersion in a multilayer solid torus in terms of threeterm vector recurrence relations and matrix continued fractions
Toroidal confinement, which has played a crucial role in magnetized plasmas and Tokamak physics, is emerging as an effective means to obtain useful electronic and optical response in solids. In particular, excitation of surface plasmons in metal nanorings by photons or electrons finds important applications due to the engendered field distribution and electromagnetic energy confinement. However, in contrast to the case of a plasma, often the solid nanorings are multilayered and/or embedded in a medium. The nonsimply connected geometry of the torus results in surface modes that are not linearly independent. A threeterm difference equation was recently shown to arise when seeking the nonretarded plasmon dispersion relations for a stratified solid torus (Garapati et al 2017 Phys. Rev. B 95 165422). The reported generalized plasmon dispersion relations are here investigated in terms of the involved matrix continued fractions and their convergence properties including the determinant forms of the dispersion relations obtained for computing the plasmon eigenmodes. We also present the intricacies of the derivation and properties of the Green's function employed to solve the three term amplitude equation that determines the response of the toroidal structure to arbitrary external excitations.
 Authors:

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 Univ. of South Florida, Tampa, FL (United States). Dept. of Mathematics & Statistics
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics
 Publication Date:
 Grant/Contract Number:
 AC0500OR22725
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Physics Communications
 Additional Journal Information:
 Journal Volume: 2; Journal Issue: 1; Journal ID: ISSN 23996528
 Research Org:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of South Florida, Tampa, FL (United States)
 Sponsoring Org:
 USDOE; ORNL Laboratory Directed Research and Development (LDRD) Program
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasmon dispersion relations; plasmon threeterm vector recurrence; matrix continued fraction; Green's function; infinite determinant
 OSTI Identifier:
 1424498
Garapati, K. V., Bagherian, M., Passian, A., and Kouchekian, S.. Plasmon dispersion in a multilayer solid torus in terms of threeterm vector recurrence relations and matrix continued fractions. United States: N. p.,
Web. doi:10.1088/23996528/aaa4e3.
Garapati, K. V., Bagherian, M., Passian, A., & Kouchekian, S.. Plasmon dispersion in a multilayer solid torus in terms of threeterm vector recurrence relations and matrix continued fractions. United States. doi:10.1088/23996528/aaa4e3.
Garapati, K. V., Bagherian, M., Passian, A., and Kouchekian, S.. 2018.
"Plasmon dispersion in a multilayer solid torus in terms of threeterm vector recurrence relations and matrix continued fractions". United States.
doi:10.1088/23996528/aaa4e3. https://www.osti.gov/servlets/purl/1424498.
@article{osti_1424498,
title = {Plasmon dispersion in a multilayer solid torus in terms of threeterm vector recurrence relations and matrix continued fractions},
author = {Garapati, K. V. and Bagherian, M. and Passian, A. and Kouchekian, S.},
abstractNote = {Toroidal confinement, which has played a crucial role in magnetized plasmas and Tokamak physics, is emerging as an effective means to obtain useful electronic and optical response in solids. In particular, excitation of surface plasmons in metal nanorings by photons or electrons finds important applications due to the engendered field distribution and electromagnetic energy confinement. However, in contrast to the case of a plasma, often the solid nanorings are multilayered and/or embedded in a medium. The nonsimply connected geometry of the torus results in surface modes that are not linearly independent. A threeterm difference equation was recently shown to arise when seeking the nonretarded plasmon dispersion relations for a stratified solid torus (Garapati et al 2017 Phys. Rev. B 95 165422). The reported generalized plasmon dispersion relations are here investigated in terms of the involved matrix continued fractions and their convergence properties including the determinant forms of the dispersion relations obtained for computing the plasmon eigenmodes. We also present the intricacies of the derivation and properties of the Green's function employed to solve the three term amplitude equation that determines the response of the toroidal structure to arbitrary external excitations.},
doi = {10.1088/23996528/aaa4e3},
journal = {Journal of Physics Communications},
number = 1,
volume = 2,
place = {United States},
year = {2018},
month = {1}
}