We explore a link between AdS black hole thermodynamics and the deflection angle variation. Using the elliptic function analysis, we first study the phase structure of RN-AdS solutions in terms of optical aspects. Precisely, we find that the stable and the unstable phases can be derived from thermal variations of the deflection angle. Then, we investigate the Hawking-Page transition from the Gibbs energy optical dependence. Among others, we reveal that the large black hole/small black hole transition occurs at a specific value of the deflection angle. The finding results, being confirmed by the help of the Ruppeiner metric of the phase state space, indicate that the deflection angle can be exploited to unveil data on thermodynamics of AdS black holes.

我们探索了AdS黑洞热力学与偏转角变化之间的联系。使用椭圆函数分析，我们首先从光学方面研究RN-AdS解决方案的相结构。准确地说，我们发现稳定相和不稳定相可以从偏转角的热变化得出。然后，我们从吉布斯能量光学依赖性研究霍金-佩奇跃迁。除其他外，我们揭示了大黑洞/小黑洞的转变发生在特定的偏转角值处。借助相态空间的Ruppeiner度量，发现结果得到证实，表明可以利用偏转角揭示有关AdS黑洞热力学的数据。