Accelerated forward backward iterative solution for scattering from randomly rough lossy surfaces

This paper extends the method developed in [1] to the problem of 2D wave scattering from lossy dielectric randomly rough surfaces using a coupled surface integral equation formulation. Moreover, a similar implementation to BMIA/CAG [2] is used to split the impedance matrix into a sparse strong interaction matrix and a dense weak interaction matrix. Taylor series expansions and FFTs are applied to compute matrix vector products involving the weak interaction matrix. By doing this the complexity of the optimisation step is reduced from order of O(N
²
) to order of O(N logN).