标题： 关于光力吸引子图和极限环的解析探究 显示英文标题

标题： An analytical exploration of the optomechanical attractor diagram and of limit cycles

摘要： 我们分析了光学机械腔系统中机械力和辐射压之间的相互作用。 我们的研究基于对涉及的无穷Bessel级数的解析评估，这之前导致了所谓的吸引子图的数值探索。 然后这些解析表达式适合于进一步的渐近分析，在振幅的对立区域中，这允许用初等函数来描述该图。 同样的方法被应用于光学机械极限环的研究，扩展了参数空间增强值时的先前结果，而无需诸如解决边带近似之类的近似。 显示英文摘要

摘要： We analyse the interplay between mechanical and radiation pressure in an optomechanical cavity system. Our study is based on an analytical evaluation of the infinite Bessel summations involved, which previously had led to a numerical exploration of the so-called attractor diagram. The analytical expressions are then suitable for further asymptotic analysis in opposing regimes of the amplitude, which allows for a characterisation of the diagram in terms of elementary functions. The same method is applied to the study of optomechanical limit cycles, extending previous results for enhanced values of the parameter space without the need for approximations such as the resolved sideband approximation.