Abstract
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.
© 1998 Optical Society of America
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