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High precision refractometry based on Fresnel diffraction from phase plates

机译:基于相板菲涅耳衍射的高精度折光法

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摘要

When a transparent plane-parallel plate is illuminated at a boundary region by a monochromatic parallel beam of light, Fresnel diffraction occurs because of the abrupt change in phase imposed by the finite change in refractive index at the plate boundary. The visibility of the diffraction fringes varies periodically with changes in incident angle. The visibility period depends on the plate thickness and the refractive indices of the plate and the surrounding medium. Plotting the phase change versus incident angle or counting the visibility repetition in an incident-angle interval provides, for a given plate thickness, the refractive index of the plate very accurately. It is shown here that the refractive index of a plate can be determined without knowing the plate thickness. Therefore, the technique can be utilized for measuring plate thickness with high precision. In addition, by installing a plate with known refractive index in a rectangular cell filled with a liquid and following the described procedures, the refractive index of the liquid is obtained. The technique is applied to measure the refractive indices of a glass slide, distilled water, and ethanol. The potential and merits of the technique are also discussed.
机译:当透明平面平行板在边界区域被单色平行光束照射时,由于板边界处折射率的有限变化所施加的相位突然变化,会发生菲涅耳衍射。衍射条纹的可见度随着入射角的变化而周期性变化。能见度取决于板的厚度以及板和周围介质的折射率。对于给定的板厚度,绘制相变与入射角的关系图或计算入射角间隔内的可见度重复次数,可以非常准确地提供板的折射率。这里显示,可以在不知道板厚的情况下确定板的折射率。因此,该技术可用于高精度测量板厚。此外,通过在充满液体的矩形单元中安装具有已知折射率的板并按照所述程序,获得液体的折射率。该技术用于测量载玻片、蒸馏水和乙醇的折射率。还讨论了该技术的潜力和优点。

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