A Reduced Order Model Approach to Inverse Scattering in Lossy Layered Media

We introduce a reduced order model (ROM) methodology for inverse electromagnetic wave scattering in layered lossy media, using data gathered by an antenna which generates probing and measures the time resolved reflected wave. recast propagation problem as passive infinite-dimensional dynamical system, whose transfer function is expressed terms of measurements at antenna. The ROM low-dimensional system that approximates this function. While there are many possible realizations, we interested one preserves passivity addition is: (1) driven (i.e., constructed only from measurements) (2) it consists matrix with special sparse algebraic structure, entries contain spatially localized information about unknown dielectric permittivity electrical conductivity medium. Localized means intervals finite difference grid. main result paper to show analysis numerical simulations these unknowns can be extracted efficiently ROM.