Learning about random media from near-surface backscattering: using machine learning to measure particle size and concentration
Résumé
We ask what can be measured from a random media by using backscattered waves, emitted from and received
at one source. We show that in 2D both the particle radius and concentration can be accurately measured
for particles with Dirichlet boundary conditions. This is challenging to do for a wide range of particle volume
fractions, 1% to 21%, because for high volume fraction the effects of multiple scattering are not completely
understood. Across this range we show that the concentration can be accurately measured just from the mean
backscattered wave, but the particle radius requires the backscattered variance, or intensity. We also show
that using incident wavenumbers 0 ≤ k ≤ 0.8 is ideal to measure particle radius between 0 and 2. To answer
these questions we use supervised machine learning (kernel ridge regression) together with a large, precise,
dataset of simulated backscattered waves. One long term aim is to develop a device, powered by data, that
can characterise random media from backscattering with little prior knowledge. Here we take the first steps
towards this goal.