Parametric interpolation using physics-based basis functions

An interpolation procedure to approximate the electromagnetic responses of structures for different values of some parameters describing the structures geometry is presented. Basis functions are obtained from known families (e.g. polynomials or trigonometric polynomials) and from a post-process of some actual responses of the system. The fitting, in the least squares sense, can be handled efficiently leveraging on the Kronecker form of the resulting linear system.