Title: Vectorial Light in Fabry-Perot Resonators in the Normal Dispersion Regime Show Chinese title

Title: 法布里-珀罗谐振器中正常色散区域的矢量光

Abstract: The ranges of existence and stability of dark cavity-soliton stationary states in a Fabry-Perot resonator with a Kerr nonlinear medium, vectorial polarization components and normal dispersion are determined. The Fabry-Perot configuration introduces nonlocal coupling that shifts the cavity detuning by the round trip average power of the intracavity field. When compared with ring resonators, nonlocal coupling leads to strongly detuned dark cavity solitons that exist over a wide range of detunings. We study symmetry breaking between fields of opposite circular polarization characterized by a codimension-2 bifurcation point unique to the regime of normal group velocity dispersion. We show the spontaneous formation of regular dark soliton crystals separated by Turing patterns of alternating polarization via "self crystallization" due to long range interactions. Frequency combs of dark soliton crystals of two orthogonal polarizations in Fabry-Perot resonators display three separate components corresponding to the cavity repetition rate, the wavelength of the periodic pattern and the soliton lattice spacing. The system also displays the formation of stationary and dynamical vectorial dark-bright solitons. These solutions are different from previous realizations with bichromatic driving in ring resonators, are composed of locked switching fronts and can undergo Hopf bifurcations when scanning the detuning. Interacting oscillating dark-bright solitons display anti-phase dynamics that changes first into quasi-periodic oscillations and then into in-phase dynamics when increasing the cavity length. Show Chinese abstract

Abstract: 在具有克尔非线性介质、矢量偏振分量和正常色散的法布里-珀罗谐振腔中，暗腔孤子稳态的存在范围和稳定性被确定。 法布里-珀罗配置引入了非局部耦合，该耦合通过腔内场的往返平均功率改变了腔的失谐。 与环形谐振器相比，非局部耦合导致了在广泛失谐范围内存在的强失谐暗腔孤子。 我们研究了由反向圆偏振场组成的对称性破缺，该对称性破缺由正常群速度色散区域特有的二维分歧点表征。 我们展示了通过长程相互作用引起的“自结晶”过程，自发形成由图灵模式交替偏振分隔的规则暗孤子晶体。 法布里-珀罗谐振器中两种正交偏振的暗孤子晶体的频率梳显示了三个独立的成分，分别对应于腔重复率、周期图案的波长和孤子晶格间距。 系统还表现出静态和动态矢量暗-亮孤子的形成。 这些解不同于环形谐振器中使用双色驱动的先前实现，它们由锁定的切换前沿组成，并且在扫描失谐时可以经历霍普夫分歧。 相互作用的振荡暗-亮孤子表现出反相动力学，当增加腔长度时，首先变为准周期振荡，然后变为同相动力学。