2013 Volume 8 Pages 2401101
To investigate a condition of the numerical stability of an electromagnetic wave propagation simulation using the meshless time-domain method (MTDM), a 1-dimensional (1D) TM mode discretized by the MTDM has been analyzed theoretically. Under some assumptions, the Courant condition for the 1D MTDM has been derived. The Courant condition does not depend on the radial basis functions required to generate shape functions of the MTDM. In addition, the Courant condition for the 1D MTDM is equivalent to that for the finite-difference time-domain method. Based on the result for the 1D case, the Courant condition for the 2-dimensional (2D) MTDM is predicted. Furthermore, for the case where the predicted Courant condition is satisfied, the numerical stability of 2D MTDM has been investigated numerically.