RF MODULE

Dielectric Scattering PML
8 | CHAPTER 2: TUTORIAL MODELS
This is a tutorial example to show how to add PMLs and how to use the scattered field
formulation. In the RF Module you can define perfectly matched layers by adding
additional subdomains outside the boundaries that you would like to be absorbing.
Because this model is in 2D, the PML regions are from the 2D cross section of the
PML configuration in Figure 2-4 on page 45 in the RF Module User’s Guide.
Model Definition
The model shows a wave propagating from left to right through air. A dielectric object
scatters the wave in different directions.
DOMAIN EQUATIONS
The model solves the following equation for the z component of the scattered E field:
To define the PMLs you introduce new subdomains around the air domain
representing absorbing layers.
In the corners the PMLs absorb the waves in both the x and y directions.
On the sides only the waves propagating in x direction are absorbed.
On the top and bottom the waves propagating in the y direction are absorbed.
BOUNDARY CONDITIONS
– 1
∇ × ( µ r ∇ × Ez)
εrj σ ⎛ – --------- ⎞ 2
– k0Ez
=
0
⎝ ωε ⎠
0
Using an absorbing boundary condition at the outer boundaries of the PML regions
improves the efficiency of the PMLs. As a result, use the scattering boundary condition
on all outer boundaries.