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Numerically validating effective waves in random media

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MWSW02 - Theory of wave scattering in complex and random media

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. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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