Analytical theory of frequency-modulated combs: generalized mean-field theory, complex cavities, and harmonic states
Analytical theory of frequency-modulated combs: generalized mean-field theory, complex cavities, and harmonic states
复制标题
频率调制梳状波的分析理论：广义平均场理论、复杂腔和谐波态
DOI：
10.1364/oe.445570
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发表时间：
2022-02-14
期刊：
影响因子：
3.8
通讯作者：
Burghoff, David
中科院分区：
文献类型：
--
作者：
Humbard, Levi;Burghoff, David
具有线性啁啾频率和几乎恒定强度的调频（FM）梳在某些激光系统中自然存在；它们可以用一个具有相势的非线性薛定谔方程来最简洁地描述。在这项工作中，我们对调频梳子进行了全面的分析研究，以计算其显著特性。我们开发了一个通用程序，允许为任意主方程集构造平均场理论，并作为一个例子考虑反射缺陷的情况。我们推导了任意法布里-珀罗腔的调频啁啾的表达式，这对大多数现实激光器很重要，并使用摄动理论来说明它们如何受到有限增益带宽和线宽增强在快速增益介质中的影响。最后，我们证明了激光动力学的特征值公式可以用于表征激光的所有稳定状态：基本梳，连续波解和谐波状态。(C)根据Optica开放获取出版协议条款，2022年Optica出版集团
Frequency-modulated (FM) combs with a linearly-chirped frequency and nearly constant intensity occur naturally in certain laser systems; they can be most succinctly described by a nonlinear Schrodinger equation with a phase potential. In this work, we perform a comprehensive analytical study of FM combs in order to calculate their salient properties. We develop a general procedure that allows mean-field theories to be constructed for arbitrary sets of master equations, and as an example consider the case of reflective defects. We derive an expression for the FM chirp of arbitrary Fabry-Perot cavities-important for most realistic lasers-and use perturbation theory to show how they are affected by finite gain bandwidth and linewidth enhancment in fast gain media. Lastly, we show that an eigenvalue formulation of the laser's dynamics can be useful for characterizing all of the stable states of the laser: the fundamental comb, the continuous-wave solution, and the harmonic states. (C) 2022 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement