Mesoscopic cooperative emission from a disordered system

Mesoscopic cooperative emission from a disordered system
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无序系统的介观协同发射

DOI:
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发表时间:
1999
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影响因子:
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通讯作者:
Z. Vardeny
Z. Vardeny
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作者:
T. Shahbazyan;Mikhail Raikh;Z. Vardeny

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从理论上研究了空间尺度L远小于辐射波长${\ensuremath{\lambda}}_{0}=2\ensuremath{\pi}c/{\ensuremath{\omega}}_{0}.$的体积内经典振子系统的合作光发射。我们假设振子频率随机分布在具有一定特征宽度$\ensuremath{\Omega}\ensuremath{\ll}{\ensuremath{\的中心频率附近。Omega}}_{0}.$在没有无序的情况下,也就是说,合作发射光谱是由一个窄的次辐射峰叠加在一个宽的超辐射带上组成的。当N为0时,我们证明了,如果N足够大,次辐射峰不会简单地被无序展宽,而是分裂成一个随机的窄峰系统。我们估计了这些峰的光谱宽度作为N、L、α和{0}的函数。我们还估计了这种介观结构在发射光谱中的幅度。
We study theoretically the cooperative light emission from a system of $N\ensuremath{\gg}1$ classical oscillators confined within a volume with spatial scale L much smaller than the radiation wavelength ${\ensuremath{\lambda}}_{0}=2\ensuremath{\pi}c/{\ensuremath{\omega}}_{0}.$ We assume that the oscillator frequencies are randomly distributed around a central frequency ${\ensuremath{\omega}}_{0}$ with some characteristic width $\ensuremath{\Omega}\ensuremath{\ll}{\ensuremath{\omega}}_{0}.$ In the absence of disorder, that is, $\ensuremath{\Omega}=0,$ the cooperative emission spectrum is composed of a narrow subradiant peak superimposed on a wide superradiant band. When $\ensuremath{\Omega}\ensuremath{\ne}0,$ we demonstrate that if N is large enough, the subradiant peak is not simply broadened by the disorder but rather splits into a system of random narrow peaks. We estimate the spectral width of these peaks as a function of N, L, $\ensuremath{\Omega},$ and ${\ensuremath{\lambda}}_{0}.$ We also estimate the amplitude of this mesoscopic structure in the emission spectrum.