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arXiv 2201.09386physics.optics
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非厄米性和非线性相互作用对无序诱导局域模的影响

Impact of Non-Hermiticity and Nonlinear Interactions on Disordered-Induced Localized Modes

Bhupesh Kumar, Patrick Sebbah

摘要:

如果在光学实验中观察到了无序诱导的安德森局域态,他们的研究仍然具有挑战性,留下了一些悬而未决的问题。其中,非厄米性、光学增益和损耗以及更普遍的非线性对安德森局域化的影响一直是众多理论争论的主题,但尚未有任何结论性的实验证明。事实上,在系统中,局域模式有合理的空间扩展进行观察和研究,它们的相互作用和耦合到样品的边界,使其非常难以隔离他们的光谱和调查他们单独。最近,我们利用泵浦整形优化技术,成功地在有源无序介质中单独显示出局域激光模式。然而,一个一对一的识别的激光模式与被动系统的本征模式是不可能的,因为这些局域状态的非厄米性和非线性增益的影响是未知的。在这里,我们应用泵浦整形方法来完全控制有源散射介质的非厄米性。随机激光器内的光分布的直接成像使我们能够明确地证明,局部激光模式确实是被动系统的模式。这为研究非线性增益和非线性模态相互作用下局域态的鲁棒性开辟了道路。我们发现,令人惊讶的是,增益饱和和模式竞争的增益不影响模式的空间分布。

英文摘要:

If disorder-induced Anderson localized states have been observed experimentally in optics, their study remains challenging leaving a number of open questions unsolved. Among them, the impact on Anderson localization of non-Hermiticity, optical gain and loss, and more generally, nonlinearities has been the subject of numerous theoretical debates, without yet any conclusive experimental demonstration. Indeed, in systems where localized modes have reasonable spatial extension to be observed and investigated, their mutual interaction and coupling to the sample boundaries make it extremely difficult to isolate them spectrally and investigate them alone. Recently, we successfully exhibited localized lasing modes individually in an active disordered medium, using pump-shaping optimization technique. However, a one-to-one identification of the lasing modes with the eigenmodes of the passive system was not possible, as the impact of non-Hermiticity and nonlinear gain on these localized states was unknown. Here, we apply the pump-shaping method to fully control the non-Hermiticity of an active scattering medium. Direct imaging of the light distribution within the random laser allows us to demonstrate unequivocally that the localized lasing modes are indeed the modes of the passive system. This opens the way to investigate the robustness of localized states in the presence of nonlinear gain and nonlinear modal interactions. We show that, surprisingly, gain saturation and mode competition for gain does not affect the spatial distribution of the modes.

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