Research Article

Design of Shaped Beam Planar Arrays of Waveguide Longitudinal Slots

Table 2

(a) Required normalized amplitude of slots excitations for the 10 × 10 planar array with an arrow-shaped radiation pattern. (b) Required phase (degrees) of slots excitations for the 10 × 10 planar array with an arrow-shaped radiation pattern. (c) Designed slots lengths (mm) for the 10 × 10 planar array with an arrow-shaped radiation pattern. (d) Designed slots offsets (mm) for the 10 × 10 planar array with an arrow-shaped radiation pattern.
(a)

Radiat. waveg.Slot
1
Slot
2
Slot
3
Slot
4
Slot
5
Slot
6
Slot
7
Slot
8
Slot
9
Slot
10

10.2290.2240.2060.1430.1000.1000.1100.2110.2380.206
20.2990.2890.2370.1000.1000.1000.1900.3010.3360.306
30.2490.2350.1020.1000.1980.3230.4380.4670.3900.306
40.1220.1000.2400.4280.5920.6960.7230.6340.4600.282
50.2370.2850.5250.7640.9261.0000.9690.7910.5490.310
60.2370.2850.5250.7640.9250.9990.9680.7900.5490.310
70.1200.1000.2410.4290.5910.6950.7210.6330.4590.281
80.2490.2330.1020.1000.2020.3260.4390.4680.3900.307
90.2990.2870.2340.1000.1000.1000.1900.3010.3360.305
100.2280.2230.2070.1440.1000.1000.1120.2120.2390.206

(b)

Radiat. waveg.Slot
1
Slot
2
Slot
3
Slot
4
Slot
5
Slot
6
Slot
7
Slot
8
Slot
9
Slot
10

1 18.5 0.00 −13.8−29.9 41.7 50.6 50.6 50.6 50.6 37.6
2−25.9−24.6−28.0−32.0 50.5 50.6 50.6 50.6 50.6 50.6
3−35.9−42.1−9.2 166.2 −179 143.4 130.6 130.6 130.6 130.6
4 38.6 175.7 −171.9−178.7 173.6 164.2 155.3 149.0 145.2 148.3
5 130.6 146.9 171.5 177.6 176.6 171.8 167.1 165.9 167.9 −177
6 130.6 147.3 171.7 177.7 176.6 171.8 167.1 165.8 167.8 −177
7 38.5 176.5 −171.8−178.5 173.6 164.3 155.4 149.0 145.2 148.2
8−35.4−41.7−8.9 166.0 −179 144.0 130.6 130.6 130.6 130.6
9−25.6−24.3−27.7−31.8 50.5 50.6 50.6 50.6 50.6 50.6
10 18.3 −0.21−14.1−30.0 41.5 50.6 50.6 50.6 50.6 38.6

(c)

Radiat. waveg.Slot
1
Slot
2
Slot
3
Slot
4
Slot
5
Slot
6
Slot
7
Slot
8
Slot
9
Slot
10

1 16.07 15.81 16.28 16.94 15.50 14.93 16.04 15.63 15.04 15.78
2 16.47 16.09 16.24 17.86 15.17 15.37 15.75 15.81 15.44 14.94
3 16.66 16.23 16.26 16.16 15.75 16.65 16.61 16.44 16.75 16.81
4 14.96 15.95 16.12 16.10 16.18 16.23 16.38 16.41 16.27 16.77
5 16.98 16.52 16.15 16.25 16.14 16.23 16.31 16.23 16.30 15.98
6 17.04 16.38 16.29 16.13 16.24 16.20 16.26 16.35 16.13 16.20
7 15.17 16.32 15.91 16.26 16.07 16.27 16.42 16.27 16.48 16.51
8 16.42 16.44 15.84 15.74 15.94 16.55 16.58 16.60 16.49 17.13
9 16.68 15.95 16.41 17.35 15.60 15.11 15.86 15.82 15.27 15.42
10 15.82 15.99 16.17 17.08 15.24 15.20 15.92 15.55 15.24 15.41

(d)

Radiat. waveg.Slot
1
Slot
2
Slot
3
Slot
4
Slot
5
Slot
6
Slot
7
Slot
8
Slot
9
Slot
10

1 0.19 −0.13 0.21 −0.15 0.10 −0.21 0.11 −0.22 0.40 −0.28
2−0.32 0.13 −0.14 0.15 −0.19 0.11 −0.21 0.28 −0.42 0.69
3 0.29 −0.14 0.03 0.08 −0.07 0.31 −0.42 0.29 −0.41 0.39
4−0.34−0.15 0.16 −0.27 0.38 −0.48 0.55 −0.44 0.27 −0.30
5−0.34 0.22 −0.36 0.45 −0.66 0.72 −0.69 0.58 −0.38 0.30
6 0.32 −0.23 0.34 −0.49 0.60 −0.74 0.69 −0.56 0.43 −0.23
7 0.29 0.13 −0.18 0.26 −0.39 0.45 −0.60 0.40 −0.31 0.30
8−0.28 0.19 −0.01−0.04 0.08 −0.31 0.38 −0.39 0.29 −0.45
9 0.33 −0.10 0.18 −0.10 0.15 −0.15 0.16 −0.30 0.48 −0.52
10−0.23 0.12 −0.20 0.18 −0.12 0.17 −0.12 0.25 −0.36 0.32