Electromagnetic scattering from homogeneous dielectric bodies using the finite difference delay Modeling and the runge-kutta method

This paper improves FDDM by using an implicit RungeKutta scheme [4] for the temporal discretization and applies the approach to dielectric scattering problems. Specifically, A-stable Radau ΠA methods are employed for the approximation, and the methods with two and three stages have the thirdand fifth-order convergence respectively. The inverse Z-transform is computed numerically using the discrete Fourier transform (DFT) [4], and the low frequency instability is avoided by an augmentation of the normal field equations [2].