High-order Discontinuous Galerkin Method for Vacuum Electron Device Modeling

This paper presents a high-order discontinuous Galerkin (DG) method, which is also called as the hybridizable DG (HDG) method, and successfully applies it to solve the drift-diffusion model in vacuum electron devices. Compared with classical numerical discretization schemes such as the Scharfetter-Gummel (SG) scheme, this method permits arbitrary high-order node basis functions thus decreasing the requirement on mesh in the vortex electromagnetic wave radar electron device modeling, such as transmitter. The performance of the in-house solver is evaluated through the simulation of a PIN diode in the vortex electromagnetic wave radar transmitter. The result demonstrates that the proposed method possesses stability and convergence.