Abstract

A method is developed for analyzing spontaneous-emission modification in cylindrically symmetric structures. A matrix method is developed for cylindrical structures. General expressions for the radiative-recombination rate are derived for an emitter placed at any point on the structure. Quantitative indicators for estimating radiative-recombination enhancement and suppression are determined; they can be considered as modal Purcell factors. An expression for the total Purcell factor is derived for an emission direction perpendicular to the symmetry axes of the medium; as well as an expression for the integral (total) Purcell factor for the emitter at the symmetry axis.

中文翻译：

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圆柱对称结构自发发射概率的散射矩阵法

摘要

开发了一种分析圆柱对称结构中自发发射修正的方法。针对圆柱结构开发了一种矩阵方法。对于放置在结构上任何点的发射器，可以得出辐射复合率的一般表达式。确定用于估计辐射复合增强和抑制的定量指标；它们可以被视为模态赛尔因子。对于垂直于介质对称轴的发射方向，得出总珀塞尔因数的表达式；以及在对称轴上的发射器积分（总）珀塞尔因子表达式。