Yatpac - The Ultimate Open Source TLM Simulation Package

Sinusoidal Plane wave impinging onto a lossy material

1. Example description

In addition to the examples of the propagation of the plane waves excited by a Gaussian signal, we simulate the propagation of a sinusoidally excited plane wave in a lossy media. The sinusoidal wave is generated by exiting a planar rectangular cross section with a constant electric field component E_y.

The stimulation region is generated in the same way as in the example Pane_wave_lossless and Pane_wave_lossy. Similarly to the example Pane_wave_lossy, to investigate the wave propagation in a lossy material of dielectric constant eps_r=4.0 and conductivity 53 mS/m is inserted outside the excitation region (the boundary condition is met from the plane wave at timestep 700).

2. TLM model

The different material properties for air and the dielectric are defined in the "C-Block" in the file I3D.PW_lossy. The rest of the description is analogous to the case of Pane_wave_lossless and Pane_wave_lossy.

3. Simulation Results

3. Electromagnetic Fields Visualization

In Fig. 1 the undisturbed incoming wave is shown from the top. In Fig 2 also the transmitted wave with the changed wavelength can be seen. From Fig. 3 an interference effect can be seen due to the change of wavelength for the reflected wave. Fig. 4 shows the end of the simulation, where the reflected wave is not anymore interfered by an incoming wave. The description of the introduction of the dielectric materials are already been explain in the example plane wave in lossy case and remains unchanged for this example.

Fig. 1: The undisturbed incoming wave is shown from the top.

Fig. 2: Reflected and Transmitted wave in top view.

Fig. 3: An interference effect due to the change of the wavelength for the reflected wave may be observed.

Fig. 4: At the end of the simulation the reflected wave does not any more interfere with the incoming wave.