Near-field scattering by the method of locally subsonic waves (2024)
Journal Article
Chapman, C. J., & Hawkins, S. C. (2024). Near-field scattering by the method of locally subsonic waves. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2292), 1 - 26. https://doi.org/10.1098/rspa.2023.0720

A technique is developed for determining the sound field scattered by a compact body when it is close enough to an acoustic source to be in its near field. Our approach is based on the fact that large regions of many near fields may be well approxima... Read More about Near-field scattering by the method of locally subsonic waves.

Uniform approximations and effective boundary conditions for a high-contrast elastic interface (2023)
Journal Article
Chapman, C. J., & Mogilevskaya, S. G. (2023). Uniform approximations and effective boundary conditions for a high-contrast elastic interface. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 479(2277), 1 - 22. https://doi.org/10.1098/rspa.2023.0140

A difficulty in the theory of a thin elastic interface is that series expansions in its thickness become disordered in the high-contrast limit, i.e. when the interface is much softer or much stiffer than the media on either side. We provide a mathema... Read More about Uniform approximations and effective boundary conditions for a high-contrast elastic interface.