Abstract: A process for predictively modelling potential fields in inhomogeneous media is particularly suited for implementation as a Digital Signal Processing chip, as it rapidly predicts the potential field by repeatedly perturbing a trial field solution by a step approximation to the known inhomogeneous media, and then, with one Fast Fourier Transform and one Inverse Fast Fourier Transform, creates a second estimated field solution; a fixed number of such iterations provides a final potential field model, which may be compared with a sensed field to predictively adapt sensor arrays or beam shaping.