a Matlab package for phased array beam shape inspection

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50 A FIGURES TO CHAPTERS 2–7 3 50×20 1.5×1.5 φ 0 =0.0° θ 0 =50.0° W V =1.05° 3 50×20 1.5×1.5 φ 0 =15.0° θ 0 =50.0° W V =1.08° 2 2 1 1 V offset (°) 0 V offset (°) 0 −1 −1 −2 −2 −3 −3 −2 −1 0 1 2 3 H offset (°) −3 −3 −2 −1 0 1 2 3 H offset (°) (a) (b) 3 50×20 1.5×1.5 φ 0 =30.0° θ 0 =50.0° W V =1.19° 3 50×20 1.5×1.5 φ 0 =15.0° θ 0 =65.0° W V =1.65° 2 2 1 1 V offset (°) 0 V offset (°) 0 −1 −1 −2 −2 −3 −3 −2 −1 0 1 2 3 H offset (°) −3 −3 −2 −1 0 1 2 3 H offset (°) (c) (d) Figure 18: Shape of an array’s beam cross section . Panels (a)-(c) are for elevation 50 ◦ , panel (d) for elevation 25 ◦ . The rectangular plane array has size M x = 50, M y = 20 elements, with uniform element spacing of 1.5 wavelengths. The contour plot shows the beam power gain at the 0.5, 0.1 and 0.01 levels compared to the beam center. The plotted cross section is perpendicular to the beam axis, with the plot x-axis in the horizontal plane; that is, the view is as seen along the beam axis, away from the radar. The plots were produced by beamshape2d.m.
51 45 40 Directivity (dBi) 35 30 25 Ideal θ E =40° θ E =0° 20 0 10 20 30 40 50 60 70 Polar angle (°) Figure 19: Narrow dips in the array directivity pattern. The figure shows the directivity of an 50×20 array, with 1.5 wavelength spacing, in the vertical plane through the elements’ direction. The element has gain G e = 10 dBi. Both the curve for vertical elements and elements tilted by 40 ◦ are shown. Also is shown the directivity of a dense (D < 0.5) array of the same physical boundary.
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: 49 Y X Figure 17: A 3D view of an a
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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