A new, to the best of our knowledge, configuration of common-path off-axis digital holography is proposed for simultaneous evaluation of out-of-plane and in-plane displacements of the vibrating object. The object is illuminated from two different directions, and each illumination interferes with its corresponding reference beam generated near the object, resulting in two independent holograms that are spatially multiplexed in a single camera image. Two multiplexed holograms, at undeformed and deformed states of the object, are recorded and processed to obtain the out-of-plane and in-plane displacements simultaneously. The proposed digital holographic system has the advantage of a simple and compact optical setup, is less sensitive to environmental disturbances, and has high temporal phase stability. The two-dimensional ($z,\;x$) full-field amplitude and phase vibration analysis of a perfect specularly reflecting surface are also demonstrated by the proposed holographic system. The experimental results authenticate the feasibility of the proposed system and reveal its unique advantages. The proposed digital holographic system, owing to simple and compact geometry and providing several advantages over other two-channel holographic systems, may find a wide range of applications in investigating real-time dynamic phenomena.

中文翻译：

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通过双光束共光路数字全息对镜面反射面进行二维全场位移和振动测量

据我们所知，提出了一种新的共路径离轴数字全息配置，用于同时评估振动物体的面外和面内位移。物体从两个不同的方向被照射，每次照射都会与物体附近产生的相应参考光束发生干涉，从而产生两个独立的全息图，在单个相机图像中进行空间复用。记录和处理物体未变形和变形状态下的两个多路复用全息图，以同时获得面外和面内位移。所提出的数字全息系统具有光学装置简单紧凑的优点，对环境干扰不太敏感，并且具有较高的时间相位稳定性。二维 ($z,\;x$ ) 所提出的全息系统也证明了完美镜面反射表面的全场振幅和相位振动分析。实验结果验证了所提出系统的可行性并揭示了其独特的优势。所提出的数字全息系统，由于几何结构简单紧凑，并提供了优于其他双通道全息系统的几个优点，可以在研究实时动态现象中找到广泛的应用。