科学家提出环形激光腔的面积定理
近日，俄罗斯圣彼得堡国立大学的 Rostislav Arkhipov及其研究小组取得一项新进展。经过不懈努力，他们提出环形激光腔的面积定理。相关研究成果已于2023年8月7日在国际知名学术期刊《物理评论A》上发表。
针对脉冲在环形激光腔内循环的情况，该研究团队导出了广义面积定理。与标准面积定理只对行波脉冲单次通过谐振介质有效不同，所得到的广义面积定理考虑了脉冲在腔内前一次往返时留下的介质激励所产生的介质辅助非线性自作用效应。研究人员将广义面积定理应用于单截面环形腔激光器动力学的理论描述，得到了集总模型极限下脉冲面积和介质参数的稳定解和空间扩展系统的稳定解。
此外，该研究所导出的面积定理可用于方便地分析描述不同的相干光子器件，如相干锁模激光器或脉冲压缩器，以及分析基于腔的装置中的光子回波形成过程。
附：英文原文
Title: Area theorem in a ring laser cavity
Author: Anton Pakhomov, Mikhail Arkhipov, Nikolay Rosanov, Rostislav Arkhipov
Issue&Volume: 2023/08/07
Abstract: The generalization of the area theorem is derived for the case of a pulse circulating inside a ring laser cavity. In contrast to the standard area theorem, which is valid for a single pass of a traveling pulse through a resonant medium, the obtained generalized area theorem takes into account the medium-assisted nonlinear self-action effects through the medium excitation left by the pulse at the previous round-trip in the cavity. The generalized area theorem was then applied to the theoretical description of the dynamics of a single-section ring-cavity laser and the steady solutions for the pulse area and for the medium parameters were found both in the limit of a lumped model and for a spatially extended system. The derived area theorem can be used for the convenient analytical description of different coherent photonic devices, such as coherently mode-locked lasers or pulse compressors, as well as for the analysis of the photon echo formation in cavity-based setups.
DOI: 10.1103/PhysRevA.108.023506
Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.108.023506
来源：科学网 小柯机器人