Noise propagation in linear and nonlinear inverse scattering

摘要: The propagation of noise from the data to reconstructed speed sound image by inverse scattering within framework Lippmann-Schwinger integral equation is discussed. inversion algorithm that was used consisted in minimizing a Tikhonov functional unknown sound. gradient objective computed method adjoint fields. An analytical expression for covariance matrix derived. It shown linear x-ray tomography special case derived this paper. also analyzed limit linearized Born approximation, and results were found be qualitative agreement with those recently reported literature using filtered backpropagation algorithm. Finally, applicability analysis here obstacle problem physical optics approximation