This preview shows page 1. Sign up to view the full content.
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
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '11
 Song

Click to edit the document details