Page 164 - Introduction to Information Optics

Exercises

(a) Calculate the mutual coherence function.
(b) What is the degree of coherence between uL and til?
2 4 Consider the spatial impulse response of an input output optical cgstein.
as given by

~.u, = rect - rect
y)

(a) If the optical system is illuminated by a spatially limited incoherent
wavefront given by

calculate the corresponding irradiance at the output plane.
(b) If the spatially limited illumination of the optical system IS a coherent
wavefront, compare the corresponding complex light field at the
output plane.
(c) Sketch the irradiance of parts (a) and (b), respectively, and comment
on their major differences.
2.5 A F4ourier domain filter is given by

where cq, and Po are arbitrary positive constants. Assume that the comples
amplitude transmittance at the input plane of the FDP is

Calculate the output responses under incoherent and coherent illuminations.
respectively.