Convexification for an Inverse Problem for a 1D Wave Equation with Experimental Data

摘要: The forward problem here is the Cauchy for a 1D hyperbolic PDE with variable coefficient in principal part of operator. That spatially distributed dielectric constant. inverse consists recovery that constant from backscattering boundary measurements. data depend on one variable, which time. To address this problem, new version convexification method analytically developed. theory guarantees global convergence method. Numerical testing conducted both computationally simulated and experimental data. Experimental data, are collected field, mimic constants antipersonnel land mines improvised explosive devices.