Analytic aplanatic singlet lens: setting and design for three-point objects and images in the meridional plane

We present the setting and design of an aplanatic optical system for three-point objects and images. The system is composed of a singlet aspheric lens and its entrance pupil. The aspheric lens and the entrance pupil are such that the three-point images and objects lay on the same plane. The image at the center is free of spherical aberration, and the other off-axis images are free of coma. (C) 2020 Society of Photo-Optical Instrumentation Engineers (SPIE).