Homework #3.
1.
Find Fourier transforms of the following functions. Sketch the intensity
distribution in the plane of the transparency and the focal plane of a lens.
(Use
λ
= 1μm and lens f = 100cm.)
a) t(x,y) =
δ
(xy)
b) t(x,y) =
δ
(x+a) +
δ
(xa),
a = 1mm
c) t(x,y) =
δ
(x+a) + j
δ
(xa),
a = 1mm
where
δ
is a
δ
function.
2.
Optical FT system is designed to display a FT of 2D functions with spatial
frequencies between 20 and 200 lines/mm. What should be the focal length of the
lens to obtain separation of 9cm between highest and lowest spatial frequencies in
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This note was uploaded on 04/02/2011 for the course ECE 264 taught by Professor Song during the Spring '11 term at UCSB.
 Spring '11
 Song

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