SS-V: 9001 Wave Reflection on Dielectric Boundary

Test No. VE02Propagation of the fundamental mode wave in a waveguide and reflection from dielectric boundary

Definition

Figure 1.


Figure 2.


The details of the model are:
  • Figure 1: a = 20mm, b = 10 mm, L = 40 mm
  • Side walls are at the PEC (Perfect Electric Conductor) conditions and ports are at the end faces
The material properties are:
Properties
Value
Dielectric relative permittivity
4.0
Dielectric relative permeability
1.0
Air relative permeability
1.0
Air relative permeability
1.0

Results

Figure 3. Comparison of theoretical and modeled values of S-parameters for a waveguide half-filled with dielectric


Figure 4. Electric field magnitude distribution at f = 10 GHz with Waveguide Port 1 active (a) and Waveguide Port 2 active (b)


Table 1. S11 parameter results
Parameter Frequency (GHz) Theory SimSolid % Difference
S11 7.5 0.95 0.96 -0.4
7.6 0.82 0.83 -1.2
7.7 0.76 0.77 -1.0
7.8 0.72 0.73 -0.7
7.9 0.69 0.70 -0.4
8.0 0.67 0.67 -0.2
8.1 0.65 0.65 -0.08
8.2 0.63 0.63 -0.01
8.3 0.61 0.61 -0.01
8.4 0.60 0.60 -0.02
8.5 0.58 0.58 -0.06
9.0 0.53 0.53 -0.2
10.0 0.47 0.47 -0.03
11.0 0.44 0.44 0.1
12.0 0.42 0.42 -0.06
13.0 0.40 0.40 -0.1
14.0 0.39 0.39 0.4
15.0 0.38 0.38 0.8
Table 2. S21 parameter results
Parameter Frequency (GHz) Theory SimSolid % Difference
S11 7.5 0.29 0.30 4.8
7.6 0.56 0.58 2.6
7.7 0.64 0.65 1.5
7.8 0.69 0.69 0.8
7.9 0.72 0.72 0.4
8.0 0.74 0.74 0.2
8.1 0.76 0.76 0.06
8.2 0.78 0.78 0.01
8.3 0.79 0.79 -0.003
8.4 0.80 0.80 0.01
8.5 0.81 0.81 0.03
9.0 0.85 0.85 0.09
10.0 0.88 0.88 0.01
11.0 0.90 0.90 -0.03
12.0 0.91 0.91 0.01
13.0 0.92 0.92 0.03
14.0 0.92 0.92 -0.07
15.0 0.92 0.92 -0.1
1 Pozar, D.M., Microwave Engineering, 4th Edition, John Wiley & Sons, Inc., 2012, 4.1.