PreprintCC BY 4.0arXiv
Surface-pinned nonsingular topologically charged defects in nanoplasmonics
Abstract
We discuss surface-pinned, topologically charged, nonsingular defects (SD) in light scattering by a plasmonic object. They follow from exact Maxwell boundary conditions and are purely topological---unaffected by surface forces. At optical frequencies, in (quasi) 2D, they appear in the electric and Poynting vector fields for H(z) polarization, not for E(z). Exact solutions for a circular cylinder reveal topological charge-conserving bifurcations involving SDs with bulk singularities or SDs alone, and contraction of defect regions under loss.
Related
- Surface Defects in the 𝒩=2 Lens Space Index and Elliptic Integrability
- Surface defects on lens space and transfer matrices
- Morse homology of nonsingular Morse-Smale foliations and its duality theorem
- TRISDUCTION: A Linguistically, Topologically, and Mathematically Sealed Verification Architecture · Triaxial Orthogonality, Twelve-Gate Closure, the Quaternionic Completion, the Root Axiom, and the Master Pre-Sealed Proposition Ledger
- Lawlor's curvature criterion and topologically trivial area-minimizing hypercones of Hsiang type
BibTeX
@misc{tribelsky2026surfacepinned,
title = {{Surface-pinned nonsingular topologically charged defects in nanoplasmonics}},
author = {Michael I. Tribelsky and Vladimir V. Ternovski},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.05433},
eprint = {2610.05433},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.05433},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Surface-pinned nonsingular topologically charged defects in nanoplasmonics
AU - Michael I. Tribelsky
AU - Vladimir V. Ternovski
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.05433
UR - https://arxiv.org/abs/2610.05433
AB - We discuss surface-pinned, topologically charged, nonsingular defects (SD) in light scattering by a plasmonic object. They follow from exact Maxwell boundary conditions and are purely topological---unaffected by surface forces. At optical frequencies, in (quasi) 2D, they appear in the electric and Poynting vector fields for H^(z) polarization, not for E^(z). Exact solutions for a circular cylinder reveal topological charge-conserving bifurcations involving SDs with bulk singularities or SDs alone, and contraction of defect regions under loss.
ER -