# Flowing Lattices of Bubbles as Tunable, Self-Assembled Diffraction Grating

Michinao Hashimoto, Brian Mayers, Piotr Garstecki, and George M. Whitesides. 2006, 2, No. 11, 1292 – 1298

# Soft Matter Keywords

Bubbles, Surface Tension, PDMS

# Abstract

We demonstrate tunable, fluidic, two-dimensional diffraction gratings based on a microfluidic platform comprising a flow-focusing bubble generator and flowing, regular lattices of bubbles formed by dynamic self-assembly. The structure of these lattices can be tuned with switching times of less than ten seconds by changing the pressures and rates of flow applied to the device. These diffraction gratings exhibit high stability (over hours of operation if properly designed and operated). For our devices, we achieved tunable ranges in pitch from 12 to 51 mm, corresponding to first-order diffraction angles from 3.28 to 0.78 for light with a wavelength of 632 nm.

# Soft Matters

The authors use flow focusing devices to make monodisperse air bubbles which then form regular lattices at high volume fractions. By approaching a volume fraction 0.91 (disks on a plane), dislocations and defects were minimized and flowed out of the lattice. But when the volume fraction became too high, the round bubbles deformed to be hexagonally shaped and became hexagonally close packed.

The monodispersity and periodicity of the bubble lattice diffracted light. Here, the authors used channel sizes heights <math>10-20\mu m</math>, water for the continuous phase and a 632 HeNe laser. Changing these parameters would modify the phase shift of the diffracted light. However in this paper, the authors focused on controlling the diffraction pattern by modulating the flow rates which changed the lattice. The authors obtained diffraction patterns for varying volume fractions as shown in the first figure to the left.