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Developing a time-domain method for simulating statistical behavior of many-emitter systems in the presence of electromagnetic field.
Physical Review E ( IF 2.4 ) Pub Date : 2020-01-01 , DOI: 10.1103/physreve.101.013308
A R Hashemi 1 , M Hosseini-Farzad 1
Affiliation  

In this paper, one of the major shortcomings of the conventional numerical approaches is alleviated by introducing the probabilistic nature of molecular transitions into the framework of classical computational electrodynamics. The main aim is to develop a numerical method which is capable of capturing the statistical attributes caused by the interactions between a group of spontaneous as well as stimulated emitters and the surrounding electromagnetic field. The electromagnetic field is governed by classical Maxwell's equations, while energy is absorbed from and emitted to the (surrounding) field according to the transitions occurring for the emitters, which are governed by time-dependent probability functions. These probabilities are principally consistent with quantum mechanics. In order to validate the proposed method, it is applied to three different test cases: directionality of fluorescent emission in a corrugated single-hole gold nanodisk, spatial and temporal coherence of fluorescent emission in a hybrid photonic-plasmonic crystal, and stimulated emission of a core-shell SPASER (surface plasmon amplification by stimulated emission of radiation). The results are shown to be closely comparable to the experimental results reported in the literature.

中文翻译:

开发一种时域方法,用于在电磁场存在的情况下模拟多发射器系统的统计行为。

在本文中,通过将分子跃迁的概率性质引入经典计算电动力学的框架中,减轻了常规数值方法的主要缺点之一。主要目的是开发一种数值方法,该方法能够捕获由一组自发辐射体和受激辐射体与周围电磁场之间的相互作用引起的统计属性。电磁场由经典麦克斯韦方程控制,而能量则根据发射器发生的跃迁从(周围的)场吸收并向周围的场发射,跃迁由时变概率函数控制。这些概率基本上与量子力学一致。为了验证所提出的方法,它适用于三个不同的测试用例:波纹单孔金纳米盘中荧光发射的方向性,混合光子-等离子晶体中荧光发射的时空相干性以及核-壳SPASER(表面等离激元放大)的受激发射通过受激辐射的辐射)。结果表明与文献报道的实验结果非常接近。
更新日期:2020-01-17
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