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X
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1080p quality is also known as "Full HD".
X-axis represents the actual waveguide length. Y-axis represents the actual waveguide width.
Notice that in this simulation, the Y-axis is arbitrary.
This is the case for all 1-D simulations, where the Y-axis is not relevant.
Z-axis (Ey) is the Electromagnetic Field in the Y direction.
In this simulation, the x-borders are modeled as short-circuits.
Notice the phase-inversion property of the short-circuit, as the pulse refracted by it.
In each simulation, the relevant parameters are presented in the plot headline.
In this case, gamma=0.9993. We are stable.
This is a 2-D Simulation of the same waveguide.
Notice that this time, the electric field is forced to zero at y-axis limits.
This zeroing is due to the fact that the waveguide is bounded by two PCL's, @ y=0m and y=6m.
In order to withstand the 2-D stability bound, this simulation is based on gamma=0.7054.
At this value of gamma, numerical dispersion is visible: Notice the trails behind the main pulse.
Back to the 1-D simulation. The current gamma is 1.001.
The simulation starts normally, however, soon enough, the un-stability arises.
By changing the gamma by from 0.9993 to 1.0010, We have crossed the stability bound.
Back to the 2-D case
The same story happens here: gamma is now 0.7224. Above the stability bound.
Changing the gamma from 0.7054 to 0.7224 has caused us to breach the 2-D stability bound.
Now things get interesting! The same waveguide, with an obstacle!
The obstacle is marked by green tiles: It is a (d/2)^2 square PCL, passing trough the waveguide.
Notice the obstacle looks like a long rectangular, and not as a square.
This happens merely due to the stretching of the Y-axis,for better presentation of this animation.
Since Y-axis