A Parametrized Model Order Reduction Method Based on Integral Equation for Array Structures

In this letter, we propose a parametrized model reduction method based on integral equations to analyze the scattering problem of array structures. The method utilizes the equivalence principle algorithm to solve each array element through volume surface integral equations, and transfers the unknowns to equivalence surfaces. Subsequently, the reduced basis method is employed to construct orthogonal subspaces for the desired parameters. By applying the reduced basis on the equivalence surfaces, a parametrized reduced model can be generated. This approach enables efficient computation of scattering solutions for varying parameters such as frequency, material properties, and the angle of incident wave. Numerical examples demonstrate the accuracy of the method while significantly reducing computation time and memory requirements.