Abstract

Describing exactly how waves multiply scattering between some complex arrangement of particles can be challenging. There are accurate numerical methods to do this, but they can: lack any intuition, and be slow for a large quantity of particles. Effective theory is usually some method to replace the particles with a homogeneous media which is: gives significant intuition and is quick to calculate. One drawback is often that effective theory is only accurate for long wavelengths. In this talk, I will show how we overcame the challenges to do a numerical validation of effective theory for waves in a random particulate material. That is, the theory is compared with Monte Carlo simulations. I will demonstrate how this effective theory is highly accurate for a broad range of frequencies (0 < k a < 2) and material properties (particle type and volume fractions. These results indicate that this effective theory can now be used to solve a range of inverse problems for particle characterisation.