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SUMMARY:Numerically validating effective waves in random media - Art Gower
  (University of Sheffield)
DTSTART:20230321T113000Z
DTEND:20230321T120000Z
UID:TALK195625@talks.cam.ac.uk
DESCRIPTION:Describing exactly how waves multiply scattering between some 
 complex arrangement of particles can be challenging. There are accurate nu
 merical methods to do this\, but they can: lack any intuition\, and be slo
 w for a large quantity of particles. Effective theory is usually some meth
 od to replace the particles with a homogeneous media which is: gives signi
 ficant intuition and is quick to calculate. One drawback is often that eff
 ective theory is only accurate for long wavelengths. In this talk\, I will
  show how we overcame the challenges to do a numerical validation of effec
 tive theory for waves in a random particulate material. That is\, the theo
 ry is compared with Monte Carlo simulations. I will demonstrate how this e
 ffective 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 ra
 nge of inverse problems for particle characterisation.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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