Superresolution performance of a piano-convex lens made of absorbing g
lass is analyzed numerically. It was found that a reduction of the rad
ius of the Airy disk depends solely on the center transmittance of the
lens (a zero edge thickness is assumed) for any reasonable ratio of r
adius of curvature of the convex surface and the lens radius. The mode
st decrease in the size of the central diffraction peak is followed by
a large decrease of its energy content and a rapid brightening of the
diffraction rings. The most that can be achieved with such a lens is
a reduction of the radius of the Airy disk to 71% of the corresponding
clear aperture value, followed by approximately 78% of the energy bei
ng diverted into diffraction rings. (C) 1997 Optical Society of Americ
a.