Method-of-Moments Analysis of Resonant Circular Arrays of Cylindrical Dipoles

Abstract

We perform a method-of-moments (MoM) analysis of a circular array of cylindrical dipoles. The array is known from earlier theoretical and experimental studies to possess very narrow resonances. The earlier theoretical studies were carried out using the "two-term theory." The present paper is a direct continuation of a recent work showing that the problem possesses unique and particular difficulties. The main difficulties are overcome herein using a set of improved kernels in the usual Hallén-type integral equations (these kernels had been developed in previous works, and were successfully incorporated into the aforementioned two-term theory analyses). We make a detailed comparison of our MoM results to two-term theory results and, also, to the earlier experimental results.

Генерация Предельно-Коротких Импульсов При Возбуждении Нелинейной Резонансной Среды Световым Зайчиком, Движущимся Со Сверхсветовой Скоростью

“…Рассматриваемая на рис. 1 кольцевая геометрия задачи может быть аналогична кольцевым массивам наночастиц, свойства которых и взаимодей-ствие с электромагнитным излучением также изучаются в последнее время [40][41][42][43]. Обычно комбинационно-активные молекулы являют-ся анизотропными, поэтому в рассматриваемой схеме необходимо, чтобы оси частиц были ориентированы перпендикулярно плоскости окружности в каждой точке на круге и возбуждающее поле было поляризовано также в этом направлении.…”

Generation of unipolar pulses in a circular Raman-active medium excited by few-cycle optical pulses

“…Recent progress in the development of the plasmonic nanoparticles fabrication techniques [28,29] led to the emergence of their various applications as optical waveguides [30,31], surface enhanced Raman scattering processes [32,33], high quality optical resonators [34][35][36], antennas and detectors [37] etc. The various types of particles arrangements -linear [38][39][40][41][42] and circular [35,36,[43][44][45][46] have been studied for these purposes. Among others, circular arrays of nanoparticles have attracted great attention for a number of reasons.…”