Table 1 The PRA element design guideline for phased array antennas when the target scanning range is \(\pm 7{0}^{\circ }\).
From: Wide-Angle Scanning Phased Array Antenna using High Gain Pattern Reconfigurable Antenna Elements
\(d\) | \({\theta }_{gap}\) | \(HPB{W}_{max}\) | \(M\) | \(Tilt\ angle\) | \(Subspace\) |
|---|---|---|---|---|---|
0.5\({\lambda }_{0}\) | 180\({}^{\circ }\) | 180\({}^{\circ }\) | \(\ge \)1 | x | x |
0.6\({\lambda }_{0}\) | 112.9\({}^{\circ }\) | 91.0\({}^{\circ }\) | \(\ge \)2 | \({\theta }_{1}=(-1/2){\theta }_{max}=-3{5}^{\circ }\) | \(Subspace\ I:(-2/2){\theta }_{max} \sim (0/2){\theta }_{max}=-7{0}^{\circ } \sim {0}^{\circ }\) |
0.7\({\lambda }_{0}\) | 91.2\({}^{\circ }\) | 72.4\({}^{\circ }\) | \({\theta }_{2}=(1/2){\theta }_{max}=3{5}^{\circ }\) | \(Subspace\ II:(0/2){\theta }_{max} \sim (2/2){\theta }_{max}={0}^{\circ } \sim 7{0}^{\circ }\) | |
0.8\({\lambda }_{0}\) | 77.4\({}^{\circ }\) | 61.0\({}^{\circ }\) | \(\ge \)3 | \({\theta }_{1}=(-2/3){\theta }_{max}=-46.{7}^{\circ }\) | \(Subspace\ I:(-3/3){\theta }_{max} \sim (-1/3){\theta }_{max}=-7{0}^{\circ } \sim -23.{3}^{\circ }\) |
0.9\({\lambda }_{0}\) | 67.5\({}^{\circ }\) | 54.2\({}^{\circ }\) | \({\theta }_{2}=(0/3){\theta }_{max}={0}^{\circ }\) | \(Subspace\ II:(-1/3){\theta }_{max} \sim (1/3){\theta }_{max}=-23.{3}^{\circ } \sim 23.{3}^{\circ }\) | |
1.0\({\lambda }_{0}\) | 60.0\({}^{\circ }\) | 47.6\({}^{\circ }\) | \({\theta }_{3}=(2/3){\theta }_{max}=46.{7}^{\circ }\) | \(Subspace\ III:(1/3){\theta }_{max} \sim (3/3){\theta }_{max}=23.{3}^{\circ } \sim 7{0}^{\circ }\) | |
1.1\({\lambda }_{0}\) | 54.1\({}^{\circ }\) | 42.6\({}^{\circ }\) | \(\ge \)4 | \({\theta }_{1}=(-3/4){\theta }_{max}=-52.{5}^{\circ }\) | \(Subspace\ I:(-4/4){\theta }_{max} \sim (-2/4){\theta }_{max}=-7{0}^{\circ } \sim -3{5}^{\circ }\) |
1.2\({\lambda }_{0}\) | 49.2\({}^{\circ }\) | 38.2\({}^{\circ }\) | \({\theta }_{2}=(-1/4){\theta }_{max}=-17.{5}^{\circ }\) | \(Subspace\ II:(-2/4){\theta }_{max} \sim (0/4){\theta }_{max}=-3{5}^{\circ } \sim {0}^{\circ }\) | |
\({\theta }_{3}=(1/4){\theta }_{max}=17.{5}^{\circ }\) | \(Subspace\ III:(0/4){\theta }_{max} \sim (2/4){\theta }_{max}={0}^{\circ } \sim 3{5}^{\circ }\) | ||||
\({\theta }_{4}=(3/4){\theta }_{max}=52.{5}^{\circ }\) | \(Subspace\ IV:(2/4){\theta }_{max} \sim (4/4){\theta }_{max}=3{5}^{\circ } \sim 7{0}^{\circ }\) | ||||
1.3\({\lambda }_{0}\) | 45.2\({}^{\circ }\) | 34.8\({}^{\circ }\) | \(\ge \)5 | \({\theta }_{1}=(-4/5){\theta }_{max}=-5{6}^{\circ }\) | \(Subspace\ I:(-5/5){\theta }_{max} \sim (-3/5){\theta }_{max}=-7{0}^{\circ } \sim -4{2}^{\circ }\) |
1.4\({\lambda }_{0}\) | 41.8\({}^{\circ }\) | 32.3\({}^{\circ }\) | \({\theta }_{2}=(-2/5){\theta }_{max}=-2{8}^{\circ }\) | \(Subspace\ II:(-3/5){\theta }_{max} \sim (-1/5){\theta }_{max}=-4{2}^{\circ } \sim -1{4}^{\circ }\) | |
1.5\({\lambda }_{0}\) | 38.9\({}^{\circ }\) | 29.8\({}^{\circ }\) | \({\theta }_{3}=(0/5){\theta }_{max}={0}^{\circ }\) | \(Subspace\ III:(-1/5){\theta }_{max} \sim (1/5){\theta }_{max}=-1{4}^{\circ } \sim 1{4}^{\circ }\) | |
\({\theta }_{4}=(2/5){\theta }_{max}=2{8}^{\circ }\) | \(Subspace\ IV:(1/5){\theta }_{max} \sim (3/5){\theta }_{max}=1{4}^{\circ } \sim 4{2}^{\circ }\) | ||||
\({\theta }_{5}=(4/5){\theta }_{max}=5{6}^{\circ }\) | \(Subspace\ V:(3/5){\theta }_{max} \sim (5/5){\theta }_{max}=4{2}^{\circ } \sim 7{0}^{\circ }\) |
