We discuss both numerically and analytically how the space–bandwidth product and the information density of lenses scale as functions of their diameter and f-number over many orders of magnitude. This information may be useful for the design of optical computing and interconnection systems. For diffractive lenses, cost is defined as the number of resolution elements the lithographic production system must have; the relationship of this quantity to the space–bandwidth product and information density is also given.
© 1994 Optical Society of America
Original Manuscript: August 30, 1993
Revised Manuscript: November 10, 1993
Published: June 10, 1994
Haldun M. Ozaktas, Hakan Urey, and Adolf W. Lohmann, "Scaling of diffractive and refractive lenses for optical computing and interconnections," Appl. Opt. 33, 3782-3789 (1994)