Table 4 Predicted (Pred) and simulated (Sim) \(S_{11}\) and gain for different substrates at 6 GHz and 9 GHz with their absolute errors (AEs) and relative errors (REs).
From: Design of rectangular patch antennas through machine learning
Material | 6 GHz – \(S_{11}\) (dB) | 6 GHz – Gain (dB) | 9 GHz – \(S_{11}\) (dB) | 9 GHz – Gain (dB) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Pred | Sim | AE | RE | Pred | Sim | AE | RE | Pred | Sim | AE | RE | Pred | Sim | AE | RE | |
\(\varepsilon _r=4.6\), \(t=1.6\) mm | − 10.72 | − 10.82 | 0.1 | 0.009 | 3.77 | 3.79 | 0.002 | 0.005 | − 11.09 | − 10.5 | 0.41 | 0.03 | 2.91 | 2.92 | 0.01 | 0.003 |
\(\varepsilon _r=4.6\), \(t=2\) mm | − 11.03 | − 11.34 | 0.31 | 0.02 | 3.44 | 3.46 | 0.002 | 0.005 | − 11.62 | − 12.13 | 0.51 | 0.04 | 1.9 | 1.88 | 0.02 | 0.01 |
\(\varepsilon _r=4.6\), \(t=2.4\) mm | − 11.73 | − 11.83 | 0.1 | 0.008 | 2.93 | 2.93 | 0.000 | 0.000 | − 11.10 | − 11.59 | 0.49 | 0.04 | 0.87 | 0.86 | 0.01 | 0.01 |
\(\varepsilon _r=6.45\), \(t=1.27\) mm | − 11.86 | − 11.91 | 0.05 | 0.004 | 2.69 | 2.88 | 0.19 | 0.06 | − 13.64 | − 13.51 | 0.13 | 0.01 | 3.32 | 3.15 | 0.07 | 0.02 |
\(\varepsilon _r=6.45\), \(t=1.9\) mm | − 13.92 | − 14.49 | 0.57 | 0.03 | 2.71 | 2.65 | 0.06 | 0.02 | − 13.28 | − 13.06 | 0.22 | 0.02 | 0.74 | 0.60 | 0.09 | 0.14 |
\(\varepsilon _r=6.6\), \(t=1.28\) mm | − 12.17 | − 12.17 | 0.00 | 0.000 | 3.13 | 3.16 | 0.03 | 0.01 | − 13.57 | − 13.70 | 0.13 | 0.01 | 2.6 | 2.77 | 0.17 | 0.06 |