An Efficient Three-Stage Split-Step Precise Integration Time-Domain Method for Solving Maxwell's Equations

Based on a split-step scheme with second-order accuracy, a three-stage split-step precise-integration time-domain (SS2-PITD) method is proposed for solving Maxwell's equations. The SS2-PITD method has a better performance in computational accuracy and efficiency than the original split-step precise-integration time-domain method. The numerical stability condition of the SS2-PITD method is analytically given, showing that the time step size in SS2-PITD can be much larger than the Courant–Friedrichs–Lewy upper limit. To simulate open region problems, the convolutional perfectly matched layer is extended to the SS2-PITD method. Finally, numerical examples are performed to show the effectiveness of the proposed method.