Two Approximate Crank–Nicolson Finite -Difference Time-Domain Method for $TE_z$ Waves

Two approximate Crank–Nicolson finite-difference time-domain (CN-FDTD) methods are presented for a two-dimensional $TE_{z}$ wave. The stability conditions of the proposed methods are presented analytically and the numerical performance of these methods is demonstrated by comparing with those of the alternating-direction implicit (ADI) FDTD and conventional FDTD methods.