Johann Veras, University of Central Florida


Near Zero Frequency Sounding in Layered Media

Abstract: We consider the problem of frequency sounding of an unknown layered medium (thought of as an acoustic body). Pressure waves are created at the surface and the response is measured at the same boundary. Mathematically, the problem is modeled by the linear wave equation with mixed boundary conditions. The original problem is reduced to a coefficient identification problem for a family of Riccati equations. Unique determination is obtained for the simplified linear problem, and we perform several numerical experiments in which the index of refraction is modeled as a Gaussian.

Mentor: Alexandru Tamasan (University of Central Florida)

Collaborator: Chastity Autry (Department of Physics, Georgia State University)