Improved Reduced-Order Model with Equivalent Surface for Scattering Problems

An improved model-order reduction scheme for scattering problems is introduced. An equivalent surface is introduced into the scattering problems to enclose the background scatterers. By performing random singular-value decomposition (RSVD) to the matrix expression of the interaction between equivalent surface and scatterers, a set of orthonormal vectors are obtained. The matrix representation of the interaction between radiator and scatterer is approximated by a number of the orthonormal vectors with certain truncation error. In addition, the discrete empirical interpolation method (DEIM) is used to select the most important vectors which minimizes the truncation error. The scheme is suitable for simplifying the scattering problems, especially when the location of radiator changes frequently.