# Hankel Transform of a Cylinder

Cuthbert Nyack

The Hankel transform of the 2D cylindrically symmetric function
above is shown below in the q plane. J_{1} 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.

*Return to main page*

*Return to page index*

COPYRIGHT © 1999 Cuthbert A. Nyack.