The apodizing performance of a plano-concave lens made of gray glass w
as analyzed numerically. It was found that apodizing performance depen
ds solely on the edge transmittance of the lens (a zero center thickne
ss is assumed here) for any reasonable ratio of radius of curvature of
the concave surface and the lens radius. If a modest increase in the
size of the central diffraction peak and light losses introduced by su
ch a lens can be accepted, it is possible to reduce energy diffraction
into diffraction rings approximately tenfold.