Hankel Transform of a Cylinder

Cuthbert Nyack
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.
Return to main page
Return to page index
COPYRIGHT 1999 Cuthbert A. Nyack.