Stability of symplectic finite-difference time-domain methods

Problems with slowly varying electromagnetic fields may be difficult to treat using finite-difference time-domain (FDTD) method. FDTD method was extended to symplectic FDTD methods to resolve the problems. Stability of schemes is a key to the efficient calculation of these problems. The stability of newly developed symplectic FDTD methods is examined. The developed symplectic FDTD methods show better stability than the conventional FDTD method.