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.50 2. Signal Processing with Optics
2.6 Given an input-output linear spatially invariant optical system under
strictly incoherent illumination,
(a) Derive the incoherent transfer function in terms of the spatial impulse
response of the system.
(b) State some basic properties of the incoherent transfer function.
(c) What are the cutoff frequencies of the system under coherent and
incoherent illuminations?
2.7 Consider an optical imaging system that is capable of combining two
Fraunhofer diffractions resulting from input objects /,(.x, y) and /" 2(.x, y),
as shown in Fig. 2.60.
(a) Compute the output irradiances under the mutual coherent and the
mutual incoherent illuminations, respectively.
(b) Comment on the results of part (a).
y
Fig. 2.60.
2.8. Assume that a coherent light distribution on the (a, /?) spatial coordinate
system is shown in Fig. 2.61. Use it to evaluate the complex light field at
the (x, y) plane.
g(a.P)
f(x,y)
direction of wave
propagation
Fig. 2.61.