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Measurement of low-derivative surface lenses by two-laser holography with Bi_(12)TiO_(20) crystals

机译:Bi_(12)TiO_(20)晶体的两激光全息法测量低导数表面透镜

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摘要

Refractive and profilometric analyses of lenses with large radii of curvature and/or large focal distance were performed through photorefractive holography using a Bi_(12)TiO_(20) crystal as the recording medium and two red diode lasers as light sources. Both lasers were properly aligned and tuned in order to provide submillimetric synthetic wavelengths providing real-time interferograms in a two-color holography experiment. The resulting contour interferogram describes the form of the wavefront after the beam traveled back and forth through the lens. The fringe quantitative evaluation was carried out through the four-stepping technique, and the resulting phase map and the branch-cut method were employed for phase unwrapping. Exact ray tracing calculation was performed in order to establish a relation between the output wavefront geometry and the lens parameters such as radii of curvature, thickness, and refractive index. By quantitatively comparing the theoretically calculated wavefront geometry with the experimental results, errors below 1percent for both refractive index and focal length were obtained.
机译:使用Bi_(12)TiO_(20)晶体作为记录介质,并使用两个红色二极管激光器作为光源,通过光折射全息术对具有大曲率半径和/或大焦距的透镜进行了折射和轮廓分析。两种激光器都经过适当对准和调谐,以提供亚微米级合成波长,从而在双色全息实验中提供实时干涉图。所得的轮廓干涉图描述了光束来回穿过透镜后的波前形式。通过四步法对条纹进行定量评估,并将所得相图和分支切割法用于相展开。为了建立输出波阵面几何形状和透镜参数(例如曲率半径,厚度和折射率)之间的关系,进行了精确的光线跟踪计算。通过将理论计算的波前几何形状与实验结果进行定量比较,得出折射率和焦距均低于1%的误差。

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