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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通讯作者:
Z. Vardeny
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作者:
T. Shahbazyan;Mikhail Raikh;Z. Vardeny
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.