Optimal algorithm for the numerical inversion Laplace transforms method in a multiconductor transmission line system

The current paper presents a study on the numerical method of inversion of Laplace transforms (NILT) to deal with some of EMC problems in MW systems under the Matlab environment. The idea consists in studying the two well used algorithms in NILT, one is called quotient-difference algorithm using expansion of the Fourier series and the other is called epsiv-algorithm using the expansion of Laguerre function, in order to reach an optimal algorithm of the NILT method for different multiconductor transmission line (MTL) systems. The simulation results show that the quotient difference algorithm is most efficient than the epsiv-algorithm in term of rapid convergence to zero with a low relative error; these performances increase significantly the use of Laplace transform inversion by the method of Laguerre in MW circuits.