Hankel Transform of a Cylinder
The Hankel transform of the 2D cylindrically symmetric function
above is shown below in the q plane. J1 is the
first order Bessel function.
And the transform is illustrated by the applet below. Along the shortest
direction the maximum value of q is 4.
This pattern is identical to a circular aperture or the radiation
pattern of a uniformly illuminated parabolic antenna etc.
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COPYRIGHT © 1999 Cuthbert A. Nyack.