Title :
An alternative method for making an explicit FDTD unconditionally stable
Author :
Gaffar, Md ; Dan Jiao
Author_Institution :
Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
A new explicit and unconditionally stable FDTD method is developed for general electromagnetic analysis. In this new method, for any given time step, we upfront deduct the root cause of the instability from the system matrix (discretized curl curl operator) resulting from the space discretization, and perform the explicit FDTD marching based on the updated system matrix. As a result, the explicit FDTD marching is absolutely stable for the given time step no matter how large it is. Its accuracy is also guaranteed when the time step is chosen based on accuracy. Numerical experiments have demonstrated the superior performance of the proposed new explicit and unconditionally stable FDTD method.
Keywords :
electromagnetic field theory; finite difference time-domain analysis; FDTD marching; FDTD method; discretized curl curl operator; explicit FDTD unconditionally stable; general electromagnetic analysis; matrix system; space discretization; updated system matrix; Finite difference methods; Time-domain analysis; Finite-difference time-domain method (FDTD); explicit methods; unconditionally stable method;
Conference_Titel :
Microwave Symposium (IMS), 2015 IEEE MTT-S International
Conference_Location :
Phoenix, AZ
DOI :
10.1109/MWSYM.2015.7167001