Page 171 - Introduction to Information Optics

2. Signal Processing with Optics

Fig. 2.69.

(d) Calculate the accuracy of the detection under strictly coherent and
spatially partial-coherent illuminations, respectively.
(e) Compute the correlation peak intensities of part (d).
2.22 Consider the JTP in Sec. 2.4.4.
(a) Design a phase-reversal function to sharpen a linear smeared image.
(b) Calculate the output complex light distribution.
(c) Show that a reasonable degree of restoration may be achieved by
using the phase-reversal technique.
2.23 Consider the complex image subtraction of Fig. 2.69. If we let one of the
input transparencies be an open aperture; say j' 2(x, y) = 1,
(a) Calculate the output irradiance distribution around the optical axis.
(b) On the other hand, if f^x, y) = exp[i'0(x, y}~\ is a pure phase object, show
that the phase variation of f^(x, y) can be observed at the output plane.
2.24 Consider a multisource coherent processor for image subtraction, as
shown in Fig. 2.70. We assume that the two input object transparencies
are separated by a distance of 2h 0.
(a) Determine the grating spatial frequency with respect to the spacing
of these coherent point sources.

N Coherent
point sources

Fig. 2.70.