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首页> 美国卫生研究院文献>Scientific Reports >Multipolar time-dynamical model for the loss compensation and lasing of a spherical plasmonic nanoparticle spaser immersed in an active gain medium
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Multipolar time-dynamical model for the loss compensation and lasing of a spherical plasmonic nanoparticle spaser immersed in an active gain medium

机译：多极时动态模型用于浸没在有源增益介质中的球形等离激元纳米粒子填隙片的损耗补偿和激光发射

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摘要

The plasmonic response of a metal nanoparticle in the presence of surrounding gain elements is studied, using a space and time-dependent model, which integrates a quantum formalism to describe the gain and a classical treatment for the metal. Our model fully takes into account the influence of the system geometry (nanosphere) and offers for the first time, the possibility to describe the temporal evolution of the fields and the coupling among the multipolar modes of the particle. We calculate the lasing threshold value for all multipoles of the spaser, and demonstrate that the dipolar one is lowest. The onset of the lasing instability, in the linear regime, is then studied both with and without external field forcing. We also study the behaviour of the system below the lasing threshold, with the external field, demonstrating the existence of an amplification regime where the nanoparticle’s plasmon is strongly enhanced as the threshold is approached. Finally, a qualitative discussion is provided on later, non-linear stages of the dynamics and the approach to the steady-state of the spaser; in particular, it is shown that, for the considered geometry, the spasing is necessarily multi-modal and multipolar modes are always activated.
机译：使用空间和时间相关模型，研究了周围存在增益元素的情况下金属纳米粒子的等离子体响应，该模型结合了量子形式学来描述增益和金属的经典处理方法。我们的模型充分考虑了系统几何形状（纳米层）的影响，并首次提供了描述场的时间演化以及粒子的多极模式之间耦合的可能性。我们计算了spaser的所有多极点的激射阈值，并证明偶极子极点最低。然后，在有或没有外场强迫的情况下，都研究了线性状态下的激光失稳的发作。我们还通过外部场研究了低于激射阈值的系统行为，证明了存在一种放大机制，其中随着接近阈值，纳米粒子的等离激元大大增强。最后，在后面的非线性动力学阶段以及对Spaser稳态方法的讨论中进行了定性讨论。特别地，示出了，对于所考虑的几何形状，打断必定是多峰模式，并且总是激活多极模式。

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