Bifurcations, stability, and multistability of cavity solitons in parametric downconversion
Bifurcations, stability, and multistability of cavity solitons in parametric downconversion
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参数下变频中空腔孤子的分岔、稳定性和多稳定性
DOI：
10.1364/josab.19.000792
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发表时间：
2002
影响因子：
1.9
通讯作者：
F. Lederer
中科院分区：
文献类型：
--
作者：
C. Etrich;D. Michaelis;F. Lederer
本文系统地研究了高精细度双共振简并光学参量振荡器中腔孤子的形成。三种类型的腔孤子，从不同的平面波的临界点，被确定。利用振幅方程研究了这些解的分岔动力学并进行了分类。我们比较了由振幅方程计算的腔孤子与临界点附近的全数值解，并数值跟踪了它们在远离分叉处的演化。我们发现了以前没有确定的腔孤子类型，即暗孤子和振荡孤子。这些数值研究的补充腔孤子的线性稳定性分析。讨论了非稳定腔孤子的各种衰减情况。
We systematically study the formation of cavity solitons in a high-finesse, doubly resonant degenerate optical parametric oscillator. Three types of cavity soliton, emanating from different plane-wave critical points, are identified. By means of amplitude equations the bifurcation dynamics of these solutions is studied and classified. We compare cavity solitons calculated from amplitude equations with the full numerical solutions near the critical points and trace their evolution numerically far from bifurcation. We found cavity soliton types previously not identified, namely, dark and oscillating solitons. These numerical studies are complemented by a linear stability analysis of cavity solitons. Various decay situations for unstable cavity solitons are discussed.