Fang X, Hobson P R
Department of Physics, Brunel University, Uxbridge, Middlesex UB8 3PH, United Kingdom.
Appl Opt. 1998 May 20;37(15):3206-14. doi: 10.1364/ao.37.003206.
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-mum 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 microm, for a replay-to-recording wavelength ratio mu in the range 0.98 < mun(w) < 1.02.
位于折射率为n(w)的水中并记录在同轴夫琅禾费全息图上的线状物体的实像，是利用惠更斯-菲涅耳原理计算得出的。水-玻璃和玻璃-空气界面的存在，或者记录与重现之间有效波长的变化，都会引入波前像差。对于完全对准的有限孔径全息图，球差起主导作用，并评估了其对有限宽度线状物体重现像的影响。将数值结果与位于距10毫米厚玻璃窗50.0毫米处水中的10微米金属丝的实验数据进行了比较，结果显示出良好的一致性。结果表明，对于重放与记录波长比μ在0.98 < μn(w) < 1.02范围内，线宽误差小于1.5%，焦平面相对于高斯平面的偏移小于16微米。
