Parallel, Series, and Intermediate Interconnections of Optical Nanocircuit Elements Part 1: Analytical Solution

TL;DR

This paper derives an analytical solution for connecting optical nanocircuit elements in series and parallel configurations, focusing on a pair of conjoined half-cylinders, to advance understanding of nanocircuit behavior at optical frequencies.

Contribution

It provides the first closed-form quasi-static analytical solution for a specific nanocircuit element geometry, enabling better analysis of optical nanocircuits.

Findings

Analytical solution for conjoined half-cylinder nanocircuit elements.

Framework for analyzing series and parallel nanocircuit connections.

Foundation for physical interpretation in subsequent work.

Abstract

Following our recent development of the paradigm for extending the classic concepts of circuit elements to the infrared and optical frequencies [N. Engheta, A. Salandrino, A. Alu, Phys. Rev. Lett. 95, 095504 (2005)], in this paper we investigate the possibility of connecting nanoparticles in series and in parallel configurations, acting as nanocircuit elements, In particular, we analyze a pair of conjoined half-cylinders, whose relatively simple geometry may be studied and analyzed analytically. In this first part of the work, we derive a closed-form quasi-static analytical solution of the boundary-value problem associated with this geometry, which will be applied in Part II for a nanocircuit and physical interpretation of these results.