Methods for imaging a single point source to a line image are discusse
d, and a design study of single spherical mirror systems that form abe
rration-free line images is presented. An expression for the ray densi
ty along the line image is derived for such systems in the cases of (i
) uniform beam profiles and (ii) Gaussian beam profiles. The resulting
ray density profiles are illustrated for single spherical mirror syst
ems over a wide range of design parameters. (C) 1998 Optical Society o
f America.