A Lagrange Polynomial Chebyshev Pseudo Spectral Time Domain method in one dimensional large scale applications

Pseudo Spectral Time Domain method based on Discrete Fourier series has been widely used in computational electromagnetics. However, this method has some disadvantages such as, the Gibbs phenomena, source conditioning and errors due to interpolation and staircase modeling of complex objects. To overcome these limitations, a Lagrange Polynomial Chebyshev Pseudo Spectral Time Domain method has been proposed. In this work, the efficiency of this method for large scale problems is examined in the sense of numerical dispersion errors (accuracy) by solving one dimensional wave equation in a simple medium. The numerical results are compared for validation with the analytical solution and standard Finite Difference Time Domain method solution.