光反馈作用下激光的准周期强度振荡

A. Gavrielides, V. Kovanis, G. Lythe, T. Erneux
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引用次数: 0

摘要

式中E、A、A、8为与激光阻尼系数成比例的缩放参数。孤立激光器的角频率(mod Zn)、反馈速率和反馈延迟。分别。时间s以激光弛豫振荡周期为单位进行测量。我们证明了Eq.(*)允许时间周期状态的多个分支,与原始激光方程的数值分岔图一致。我们的分析假设延迟8是一个0(1)量,但在许多实验中,延迟8的数值更大。我们修改了(1.1)中的分析,发现大的延迟可能导致准周期强度振荡的二次分岔。这种分岔在早期的研究中被怀疑,但从未进行过分析研究。我们发现这些准周期振荡有两个不同的频率:w1 = 1和w2成比例于1/8。我们分析分岔
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quasiperiodic Intensity Oscillations in a Laser Subject to Optical Feedback
where E , A , A and 8 are scaled parameters proportionals to the laser damplng coefficient. the angular frequency of the solitary laser (mod Zn), the feedback rate and the delay of the feedback. respectively. Time s is measured in units of the laser relaxation oscillations period. We have shown that Eq. (*) admits multiple branches of time-periodic states in agreement with the numerical bifurcation diagram of the original laser equations. Our analysis assumed that the delay 8 is an O(1) quantity but in many experiments 8 is numerically larger. We have modiZied the analysis in (1.1 and have found that large delays may lead to a secondary bifurcation to quasiperiodic intensity oscillations. This bifurcation has been suspected in earlier studies but has never been investigated analytically. We shops that these quasiperiodic oscillations are characterized by two distinct frequencies: w1 = 1 and w 2proportional to 1/8. We analyze the bffurcation
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