a Matlab package for phased array beam shape inspection

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38 A FIGURES TO CHAPTERS 2–7 D=1.4; θ 0 = 0, θ g = −46, 0, 46 D=1.4; θ 0 = 16, θ g = −26, 16, 82 150 120 90 2 1.5 1 0.5 60 30 150 120 90 2.5 2 1.5 1 0.5 60 30 180 0 180 0 210 330 210 330 240 270 300 240 270 300 (a) (b) D=1.4; θ 0 = 20, θ g = −22, 20 90 2.5 120 60 2 1.5 150 1 30 0.5 180 0 Directivity 2.15 2.1 2.05 2 1.95 210 330 1.9 240 270 300 1.85 0 20 40 60 80 100 polar Elevation angle (c) (d) Figure 4: Gain pattern and directivity of an vertical array of two isotropic elements. Element separation is d = 1.4λ. Beam steering is to 0 ◦ (horizontal) in panel (a), to elevation 16 ◦ in (b) and to 20 ◦ in (c). In (a), all the three lobes are grating lobes, in (b), there are three grating lobes, and in (c), only two grating lobes. As function of the steering angle, the directivity oscillates around the value 2, the absolute maximum value 2.14 is achieved with the steering angle 20.9 ◦ .
39 (a) (b) (c) (d) Figure 5: Randomizing array element positions. Panel (a) shows the array factor û ↦→ AF(û − û 0 ) for a 12 × 4 regular planar array with isotropic elements. The array has been phase-steered to 60 ◦ elevation. Panels (b) and (d) shows two randomizations, where the grid positions in x- and y-directions have been increased by a random amount, uniformly distributed between 0 and one wavelength. In panel (d), also the z-position has been similarly randomized.
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: 37 D=1.0; θ 0 = 60, θ g = −8, 6
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 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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