In this paper, the transfer function of a passive waveguide-based terahertz pulse shaper is achieved using the time domain data provided by
the full-wave simulation of the structure. The fractional order of the transfer function is determined based on the time response resulting from an arbitrary excitation of the proposed pulse shaper. The full-wave electromagnetic numerical analyses are applied to attain the time-domain output data of the helical gold-ribbon dielectric-lined waveguide as the terahertz pulse shaper. In order to verify the simulation results, the proposed device has been examined using two different numerical methods which are the Finite Element Method (FEM) and the Finite Integral Technique (FIT). A good agreement was found between the results of FIT and FEM methods. The use of the system transfer function to analyze the structure is preferable to the full-wave simulation because of saving the execution time. Once the transfer function is determined, one could apply it for the subsequent time-domain analysis of the pulse shaper with various inputs.