Efficient RCS estimation of 2-dimensional cylinder with random holes

In this paper, we propose an efficient method to estimate the radar cross section (RCS) mean and variance of a 2-D cylinder with random holes. This model has been applied extensively in microwave engineering, e.g., frequency selective surface (FSS). Firstly, we develop a deterministic RCS solver based on nodal Discontinuous Galerkin Finite Element Method (DG-FEM). Then we quantify the RCS mean and variance of a 2-D cylinder with random holes based on the stochastic collocation method. We use the Gauss-Patterson quadrature formula to solve the resulting stochastic equation. Numerical results show how the RCS in scattering is affected by the uncertainty in shape of the object.