Convergence analysis for iterative physical optics algorithms

A quantitative approach for the convergence analysis of fast iterative physical optics (IPO) algorithms is presented. It relies on the spectral study of the iteration operator used in various iterative methods based on operator splitting. A ray-based approximation enables the analytical computation of the operator and its spectral radius for a phenomenologically representative test case of geometries including multiple reflections and occlusions. The test case-based convergence analysis is shown to be predictive for representative examples.