a Matlab package for phased array beam shape inspection

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62 A FIGURES TO CHAPTERS 2–7 5 Gain product at z = 120.0 km (Aeff = 5.1) East − West (km) 0 0.1 0.5 0.9 0.01 −5 160 −15 −10 −5 0 5 10 15 South − North (km) Altitude (km) 140 120 100 80 0 1 2 3 4 5 6 Effective area (km 2 ) Figure 31: TA: Horizontal slices through the common volume at about 120 km altitude. In the top panel, the curves are contours of the quantity Γ, defined in Eq. (96), at the nominal beam intersection altitude. The bottom panel gives the effective are, defined in Eq. (97), as a function of altitude. The plot was produced by common volume.m.
63 V eff for a long pulse (km 3 ) V eff for a 70 µs pulse (km 3 ) 1500 1000 500 V = 1344 km 3 0 1800 1900 2000 2100 2200 2300 2400 2500 2600 2700 PPD (µs) 400 300 200 100 V = 341 km 3 0 1800 1900 2000 2100 2200 2300 2400 2500 2600 2700 PPD (µs) Figure 32: TA: Filling of the common volume at 300 km altitude. 5 Gain product at z = 300.6 km (Aeff = 30.5) East − West (km) 0 0.01 0.1 0.5 0.9 −5 −15 −10 −5 0 5 10 15 South − North (km) 360 340 Altitude (km) 320 300 280 260 0 5 10 15 20 25 30 35 Effective area (km 2 ) Figure 33: TA: Horizontal slice through the common volume at 300 km altitude. The curves are contour curves of the “relative gain” Γ, defined in Eq. (96).
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 and 46: 45 80 60 40 20 θ 0 (°) 0 −20
Page 47 and 48: 47 10 Beam width (°) 9 8 7 6 5 4 M
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: 61 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
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a Matlab package for phased array beam shape inspection

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