Kac's famous question, of how one might hear the shape of a drum, has an optical analog that is addressed in the present paper. Authors Kim and Tsogka develop and implement a means to see the shapes and locations of multiple scattering objects, using intensity measurements of scalar optical fields that are taken over a single plane. This approach to the optical inverse-scattering problem employs source diversity via a set of plane-wave illuminations at different angles of incidence. An algebraic relation, dating back to a 1935 paper by Jordan and von Neumann, is then employed to convert the scattered intensity measurements to effective interferometric measurements. These effective interferograms are the key stepping stone via which the shapes and locations of the scatterers are subsequently determined. The method is elegant, effective, and ingenious. I warmly recommend this paper to your attention.

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