a Matlab package for phased array beam shape inspection

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46 A FIGURES TO CHAPTERS 2–7 1 W = 63.2° and 40.0° 20 Ge = 10.0 dBi and 13.7 dBi 0.8 10 G/Ge 0.6 0.4 G (dBi) 0 −10 0.2 0 −90 −60 −30 0 30 60 90 θ (°) −20 −30 −90 −60 −30 0 30 60 90 θ (°) Figure 13: The cos n (θ/2) gain pattern. The left panel shows the gain in linear units, the right panel in dBi. The blue solid line represents a beam with directivity 10.0 dBi and beam-width 63.2 ◦ . The dashed red line represents a beam with directivity 13.7 dBi and beam-width 40.0 ◦ . ARRAY Mx=50 My=20 Dx=1.50 Dy=1.50 ELEMENT φ=0° θ=40° W=63° Ge=10.0 dBi BEAM W(0°)=0.68° Gref=40.0 dBi Dmax=40.9 dBi D / G ref (dB) 0 −5 −10 Vertical width (°) 4 2 0 −10 0 10 20 30 40 50 60 70 80 90 Polar angle (°) −10 0 10 20 30 40 50 60 70 80 90 Polar angle (°) Figure 14: Directivity and vertical beam width of an array. The 50 × 20, 1.5 × 1.5 rectangular plane array uses 10 dBi elements, tilted 40 ◦ from the vertical. The directive has been normalized by the arrays reference gain. In addition to the directivity, the top panel shows the element’s gain pattern, normalized to unity at its maximum. All the plots are for the vertical plane that contains the element’s direction. The figure was produced with plot maxgain.
47 10 Beam width (°) 9 8 7 6 5 4 M=10 D=1.5 W(0) = 3.40° M=20 D=1.5 W(0) = 1.69° M=30 D=1.5 W(0) = 1.13° M=40 D=1.5 W(0) = 0.85° M=50 D=1.5 W(0) = 0.68° 3 2 1 0 0 20 40 60 80 Polar angle (°) Figure 15: Beam width for a few sizes of a linear array. Element spacing is 1.5 wavelengths. The number of elements M and the beam width to bore-sight direction W (0) are given in the legend.
Page 1 and 2: E3ANT A Matlab Package for Phased A
Page 3 and 4: List of Figures 1. Beam steering. .
Page 5 and 6: 5 2. Time steering and phase steeri
Page 7 and 8: 2.2 Monochromatic signals—time-st
Page 9 and 10: 3.1 Transmission 9 lobes have equal
Page 11 and 12: 3.2 Reception 11 current I goes via
Page 13 and 14: 3.2 Reception 13 equations. But fir
Page 15 and 16: 15 “losing sensitivity” (due) t
Page 17 and 18: 4.2 Array factor as 2-D discrete Fo
Page 19 and 20: 4.6 Parseval’s theorem 19 closed
Page 21 and 22: 4.9 The power integral for an array
Page 23 and 24: 4.12 Computing the antenna directiv
Page 25 and 26: 4.14 2-D beam cross section 25 or m
Page 27 and 28: 5.1 Timing accuracy versus pointing
Page 29 and 30: 6.1 Method 29 excitation amplitudes
Page 31 and 32: 31 electric field and the scatterin
Page 33 and 34: 33 Table 1: Predicting SNR for the
Page 35 and 36: 35 s(t, r; û) E p û û 0 0 R m
Page 37 and 38: 37 D=1.0; θ 0 = 60, θ g = −8, 6
Page 39 and 40: 39 (a) (b) (c) (d) Figure 5: Random
Page 41 and 42: 41 A + Z 2 I A Z 1 B + Z 3 V V (B)
Page 43 and 44: 43 E 0 E m û d m P xy ∆ m P u Fi
Page 45: 45 80 60 40 20 θ 0 (°) 0 −20
Page 49 and 50: 49 Y X Figure 17: A 3D view of an a
Page 51 and 52: 51 45 40 Directivity (dBi) 35 30 25
Page 53 and 54: 53 ARRAY 50×20 1.50×1.50 δx=0.0
Page 55 and 56: 55 ARRAY 50×20 1.50×1.50 δx=0.0
Page 57 and 58: 57 ∆X z E p χ P Q ∆Z z r 2 R 2
Page 59 and 60: 0.02 59 12×4 1.4×1.4 φ 0 =0.0°
Page 61 and 62: 61 V eff for a long pulse (km 3 ) V
Page 63 and 64: 63 V eff for a long pulse (km 3 ) V
Page 65 and 66: 65 B. Pointing geometry The functio
Page 67 and 68: 67 KIRUNA Lat=67.86 Lon=20.44 Hgt=0
Page 69: 69 C. Matlab functions There are tw

a Matlab package for phased array beam shape inspection

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