## Inverse Problems

### Faculty involved

Elena Cherkaev, David Dobson, Ken Golden, Fernando Guevara Vasquez, Graeme Milton, Dongbin Xiu.

- Inverse homogenization (for example: estimating the volume fraction of a material)
- Discrete inverse problems and how they relate to continuum problems
- Inverse scattering
- Acoustic inverse problems
- Cloaking

Lattice percolation models and their corresponding spectral functions (from “Spectral analysis and connectivity of porous microstructure in bone”, K. Golden, B. Murphy, E. Cherkaev)

Selective edge focussing of extended targets using the Singular Value Decomposition of the array response matrix (from “Edge illumination and imaging of extended reflectors”, L. Borcea, G. Papanicolaou, F. Guevara Vasquez)

Webmasters: Yekaterina Epshteyn and Fernando Guevara Vasquez.