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Formulation and Validation of Iterative Method in Time Domain

G. Mohamed and H. el Amjed
University of Tunisia, TN

Keywords:
iterative method, non linear transmission lines, waves equations, Varactor diodes

Abstract:
An efficient iterative method based on the concept of waves is presented to determine the characteristics of mm-wave of a planar waveguide. The analysis takes into account the influences of the imperfect conductor. A two dimensional fast Fourier transformation algorithm is introduced to simplify calculations and accelerate the convergence with reduced central processing unit time. The general formulation and implementation procedure of the method are described.
The utilization of the temporal contribution of the iterative method to analyse the same structure lets the formulation of iterative method in frequency’s domain valid in the temporal domain that to be-to-say iterative process, expressions of diffraction operations, the different domains existing in the structure, boundaries conditions….
The only difference is the variation of the excitation of the source according to the time.
The idea is therefore to keep the same gait used for frequency domain while bringing some modifications.
A program in FORTRAN has been elaborated to apply our iterative method on non-linear transmission line.
To validate our program in temporal domain, we intend to study a nonlinear transmission line that is a linear transmission line in which we’ve injected some Varactor diodes. The latest have the role of a variable capacity according to tension.

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