Plasmon dispersion in a multilayer solid torus in terms of three-term vector recurrence relations and matrix continued fractions

Garapati, K. V.; Bagherian, M.; Passian, A.; Kouchekian, S.

doi:10.1088/2399-6528/aaa4e3

Title: Plasmon dispersion in a multilayer solid torus in terms of three-term vector recurrence relations and matrix continued fractions

Journal Article · Tue Jan 02 23:00:00 EST 2018 · Journal of Physics Communications

DOI: https://doi.org/10.1088/2399-6528/aaa4e3 · OSTI ID:1424498

^[1]; Bagherian, M. ^[1];

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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

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 non-simply connected geometry of the torus results in surface modes that are not linearly independent. A three-term 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.

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Research Organization:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of South Florida, Tampa, FL (United States)

Sponsoring Organization:: USDOE; ORNL Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1424498

Journal Information:: Journal of Physics Communications, Journal Name: Journal of Physics Communications Journal Issue: 1 Vol. 2; ISSN 2399-6528

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Green's function
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