Programmable thermocapillary shaping of thin liquid films
Ran Eshel, Valeri Frumkin, Matan Nice, Omer Luria, Boris Ferdman,, Nadav Opatovski, Khaled Gommed, Maxim Shusteff, Yoav Shechtman, and Moran, Bercovici

TL;DR
This paper introduces a method to shape thin liquid films using projected light patterns and thermocapillary effects, enabling rapid fabrication of optical elements with high surface quality.
Contribution
The authors developed a closed-form solution for the inverse problem of thin-film deformation, enabling precise control of surface topography via programmable light patterns.
Findings
Successfully fabricated diffractive optical elements within five minutes.
Achieved sub-nanometric surface quality without post-processing.
Demonstrated versatile applications including phase masks for imaging and microscopy.
Abstract
We present a method that leverages projected light patterns as a mechanism for freeform deformations of a thin liquid film via the thermocapillary effect. We developed a closed-form solution for the inverse problem of the thin-film evolution equation, allowing to obtain the projection pattern required in order to achieve a desired topography. We experimentally implement the method using a computer controlled light projector, which illuminates any desired pattern onto the bottom of a fluidic chamber patterned with heat absorbing metal pads. The resulting heat map induces surface tension gradients in the liquid-air interface, giving rise to thermocapillary flow that deforms the liquid surface. If a polymer is used for the liquid film, it can then be photocured to yield a solid device. Based on the inverse problem solutions and using this system, we demonstrate the fabrication of several…
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