Minimum energy liquid droplet model of melted microlens formation
In this report the fabrication of arrays of refractive microlenses, using photolithographic techniques followed by a melting and then cooling process, is first recalled. A possible method to model the formation is then proposed. The applications of such arrays are mentioned (eg integral photography, optical interconnection, Gabor super-lens, Shack-Hartman array and retroreflectors). In this way the very great significance of the availability of such a simple reproducible manufacturing process is indicated. The method of modelling the surface formation proposed is based on the minimization of the energy of a liquid droplet system under particular boundary conditions. An important innovation in this model is the introduction of an energy term proportional to the integral over the surface of the curvature squared. We refer to this extra energy term, which is not present to our knowledge in any previous surface tension model, as the Curvature Correction term. The qualitative agreement of our model with experimental results is indicated as is its superiority over a model previously proposed in the literature. Shortcomings of the model are also indicated.
Bibliographic Reference: EUR 16440 EN (1996) 44pp., FS
Availability: Available from the Public Relations and Publications Unit, JRC Ispra, I-21020 Ispra (IT), Fax: +39-332-785818
Record Number: 199611437 / Last updated on: 1996-12-16
Original language: en
Available languages: en