a Matlab package for phased array beam shape inspection
a Matlab package for phased array beam shape inspection a Matlab package for phased array beam shape inspection
64 A FIGURES TO CHAPTERS 2–7 V eff for a long pulse (km 3 ) V eff for a 70 µs pulse (km 3 ) 15000 10000 5000 0 1500 1000 500 0 V = 13634 km 3 3500 4000 4500 5000 PPD (µs) V = 1245 km 3 3500 4000 4500 5000 PPD (µs) Figure 34: TA: Filling of the common volume at 600 km altitude. Gain product at z = 600.0 km (Aeff = 115.5) East − West (km) 10 5 0 −5 0.9 0.1 0.5 0.01 −10 −30 −20 −10 0 10 20 30 South − North (km) 750 700 Altitude (km) 650 600 550 500 0 20 40 60 80 100 120 Effective area (km 2 ) Figure 35: TA: Horizontal slice through the common volume at 120 km altitude.
65 B. Pointing geometry The function sitegeom1.m computes and plots elevation, azimuth, range and the beam intersection angle χ at the specified site, for Tromsø vertical, field-aligned and CP2 pointing schemes. The pointing info for several prospective and current sites are shown Fig. 36–41. The program calls the official EISCAT geometry package geom (standard EISCAT filesystem location /kst/eros4/geom) to perform the geometry computations, so this directory must be on the Matlab path. The package has been modified to allow the standard EISCAT ESR site to be replaced by an arbitrary site. The geometry package version 1.4 or higher contains these modifications. PURNUVAARA Lat=69.35 Lon=27.20 Hgt=0.00 Tromso vertical (−), field−aligned 184.9, 77.4 (−−), and CP2 (.) 100 280 Elevation (°) 50 Azimuth (°) 270 260 Range (km) 0 0 200 400 600 800 CV altitude (km) 1000 800 600 400 200 0 200 400 600 800 CV altitude (km) Intersection angle (°) 250 0 200 400 600 800 CV altitude (km) 100 80 60 40 20 0 200 400 600 800 CV altitude (km) Figure 36: Pointing directions from Purnuvaara to Tromsø.
- 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 and 62: 61 V eff for a long pulse (km 3 ) V
- Page 63: 63 V eff for a long pulse (km 3 ) V
- Page 67 and 68: 67 KIRUNA Lat=67.86 Lon=20.44 Hgt=0
- Page 69: 69 C. Matlab functions There are tw
64 A FIGURES TO CHAPTERS 2–7<br />
V eff<br />
<strong>for</strong> a long pulse (km 3 )<br />
V eff<br />
<strong>for</strong> a 70 µs pulse (km 3 )<br />
15000<br />
10000<br />
5000<br />
0<br />
1500<br />
1000<br />
500<br />
0<br />
V = 13634 km 3<br />
3500 4000 4500 5000<br />
PPD (µs)<br />
V = 1245 km 3<br />
3500 4000 4500 5000<br />
PPD (µs)<br />
Figure 34: TA: Filling of the common volume at 600 km altitude.<br />
Gain product at z = 600.0 km (Aeff = 115.5)<br />
East − West (km)<br />
10<br />
5<br />
0<br />
−5<br />
0.9<br />
0.1<br />
0.5<br />
0.01<br />
−10<br />
−30 −20 −10 0 10 20 30<br />
South − North (km)<br />
750<br />
700<br />
Altitude (km)<br />
650<br />
600<br />
550<br />
500<br />
0 20 40 60 80 100 120<br />
Effective area (km 2 )<br />
Figure 35: TA: Horizontal slice through the common volume at 120 km altitude.
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