John A. Durbin

Imaging and radiometric properties of microlens arrays

The imaging and radiometric properties of erect lens arrays made up of small biconvex microlenses are derived from a ray analysis. The lens arrays provide erect, unit magnification images. The relationship between the radii of curvature, the lens thickness, and the one-to-one conjugate distance is derived for both the single-layer case and a double-layer structure, which contains field lenses. Radiometric properties of the microlens and the array are derived for both structures. The results are compared to experimentally measured values obtained from arrays fabricated by a photothermal process.

Radiometric analysis of gradient-index lens arrays for reduction/enlargement

Gradient-index lens arrays that make reduced or enlarged images have been invented at Xerox Corp. An important optical property of these lens arrays is their radiometric speed. Thus a general procedure for the radiometric analysis of arbitrary magnification gradient-index lens arrays has been developed. The analysis has been applied to a particular array which was fabricated by Nippon Sheet Glass Co. and tested at Xerox.