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Acoustic Wave Propagation by Small Bodies and Applications

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MWSW02 - Theory of wave scattering in complex and random media

In this talk, we mainly focus on time-harmonic wave propagation by the collection of small bodies embedded in a homogeneous medium in R3. We model the small scatterers as impenetrable obstacles of arbitrary shapes. We assume no periodicity nor randomness in distributing the small scatterers. The collection of the scatterers is described by three parameters: their number ‘M’, their maximum radius ‘a’ and the minimumtime-harmonic distance between them ‘d’. We provide an asymptotic expansion of the far-fields in terms of the mentioned three parameters with explicit error estimates. Further, as an application to this result, we mention and discuss a few of the associated inverse problems, which includes identifying the location of the scatterers, and reconstructing material coefficients.I would like to acknowledge my collaborators on this work, especially Dr Mourad Sini.

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

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