A one-step leapfrog HIE-FDTD method for rotationally symmetric structures

Abstract

In this work, they propose a one-step leapfrog hybrid implicit-explicit finite-difference time-domain (HIE-FDTD) method for body-of-revolution (BOR). Meanwhile, its Convolutional Perfect Matched Layer (CPML) absorbing boundary condition is implemented. In this method, the implicit difference is applied in the angular direction. All the resultant updating equations are still explicit. However, the stability condition of the proposed method is relaxed. The analytical analysis shows that its time step is only determined by the smaller one of spatial increments Δρ and Δz. A scattering example is provided to demonstrate the new algorithm. At the same time, the relative of reflection error of the CPML is given with comparisons of Mur.