In this paper, a possible way to achieve lasing from the THz to the extreme UV domain due to stimulated scattering of graphene plasmons (GPs) on free electrons is considered. The analytical-quantitative description of the proposed free electron laser scheme is based on a self-consistent set of Maxwell–Vlasov equations. We study the downconversion as well as the upconversion. It is shown that the coherent downconversion of infrared radiation to THz can be achieved using a source of very non-relativistic electrons at the resonant coupling with the GPs. Due to the strongly confined GPs, the upconversion of mid-infrared to extreme UV radiation can be achieved with mildly relativistic electron beams. The latter is a promising mechanism for a tabletop short-wavelength free-electron nanolaser.

在本文中，考虑了一种可能的方法来实现从太赫兹到极端紫外域的激光，这是由于石墨烯等离子体（GP）在自由电子上的受激散射。所提出的自由电子激光方案的分析定量描述基于一组自洽的 Maxwell-Vlasov 方程。我们研究下转换和上转换。结果表明，红外辐射到太赫兹的相干下变频可以使用与 GP 共振耦合处的非相对论电子源来实现。由于受到强烈限制的 GP，中红外到极紫外辐射的上转换可以通过温和的相对论电子束来实现。后者是用于桌面短波长自由电子纳米激光器的有前途的机制。