Parallel, series, and intermediate interconnections of optical nanocircuit elements 1 Analytical solution

Abstract

Following our recent development of a paradigm for extending the classic concepts of circuit elements to the infrared and optical frequencies [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, here we analyze a pair of conjoined half-cylinders whose relatively simple geometry may be studied and analyzed analytically. In this first part of this work, we derive a novel closed-form quasi-static analytical solution of the boundary-value problem associated with this geometry, which will be applied in Part 2 for a nanocircuit and physical interpretation of these results.