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Effect of spherical aberration on real-image fidelity from replayed in-line holograms of underwater objects

机译：水下物体回放的在线全息图对球差对真实图像保真度的影响

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摘要

The real image of a line object, located in water of refractive index n_(w) and recorded on an in-line Fraunhofer hologram, is calculated by use of the Huygens-Fresnel principle. The presence of the water-glass and glass-air interfaces or the change in effective wavelength between recording and replay introduce wave-front aberrations. Spherical aberration dominates for a perfectly aligned finite-aperture hologram, and its effect on the replayed image of a finite-width line object is evaluated. Numerical results are compared with experimental data of a 10-μm wire located in water 50.0 mm from a 10-mm-thick glass window, and good agreement is demonstrated. It is shown that the error on the linewidth is less than 1.5%, and the Shift in focal plane from the Gaussian plane is less than 16 μm, for a replay-to-recording wavelength ratio μ in the range 0.98 <μn_(w) <1.02.
机译：使用惠更斯-菲涅耳原理计算位于折射率n_（w）的水中并记录在在线Fraunhofer全息图中的线对象的真实图像。水玻璃和玻璃空气界面的存在或记录和重放之间有效波长的变化会引入波前像差。对于完美对准的有限孔径全息图，球差占主导地位，并且评估其对有限宽度线对象的回放图像的影响。将数值结果与位于距离10毫米厚的玻璃窗50.0毫米水中的10微米线的实验数据进行比较，并证明了良好的一致性。结果表明，对于0.98 <μn_（w）范围内的重放记录波长比μ，线宽误差小于1.5％，并且焦平面与高斯平面的偏移小于16μm。 <1.02。

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