Simulation of non-linear transmission lines

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Reichardt András László
Department of Broadband Infocommunications and Electromagnetic Theory

First I defined and reviewed the linear transmission lines (TL) model.

In particular, I presented the telegraph equation, the arising effects of the TL and the concenpts used in the future.

The partial differential equation of the model is reduced by finite element method to a simpler network.

I extended the TL model to the nonlinear transmission line (NLTL) by assuming nonlinear characteristics of the capacity.

I presented the creation technique of the NLTL and the nonlinear characteristics source.

Then I presented the derivation of the emerging waves analytically and I defined the soliton wave.

Then I presented the built MATLAB simulator, the programming solutions and the function-library.

The earlier described expectations are analyzed with simulations.

In the first part I optimized for one soliton propagation and its optimization by booth the excitationthe network parameters.

I showed the amplitude dependence of the velocity and the supplied energy.

I mapped the impact of the newtwork parameters on the resuling waveform.

Finally, the effects are presented in the light of the use NLTV showed three examples:

  - Frequency multiplication,

  - A secure transmission channel,

  - Generation of very narrow pulses.


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