无相位电磁逆散射问题的全变分和非凸正则化求解

Finally, the use of total variation and non-convex regularization to solve the phaseless electromagnetic inverse scattering problem is discussed. We use the CIE model, which effectively reduces the nonlinearity of the inverse scattering problem, to solve the highly nonlinear phaseless electromagnetic inverse scattering problem. A new, more complex, non-convex, non-smooth, and non-Lipschitz loss function is established. Due to the inclusion of non-convex regularization and TV regularization, it is possible to achieve sparse representation and smoothing of the scatterer, thereby improving the feasibility and computational efficiency of the problem. The established loss function is difficult to solve directly, so by adding equality constraints and separating variables in the objective function, the alternating direction method of multipliers (ADMM) is designed to minimize its augmented Lagrangian problem. Numerical experimental results for both the two-dimensional and three-dimensional phaseless inverse scattering problems are provided.