This paper proposes a new design of a TV camera optical system with LED illumination in order to extract efficiently a pupil image which is an effective feature point for non-contact eye movement detection. The brightness distribution of the pupil image is calculated by raytracing using an approximate model that is expressed by the combination of 2 transparent spheres. It was proved that such simulation is effective by comparing the experiment results with the calculated results. Two conditions of picking up bright pupil images and dark pupil images became clear. By obtaining the differences between 2 kinds of pupil images, the pupil cart be accentuated against the background. Because the S/N ratio of the differing image is extremely high. The pupil is extracted by a simple thresholding process.