Magdalena Salazar-Palma - Modern Characterization of Electromagnetic Systems and its Associated Metrology

6 Chapter 6Figure 6.1 Original problem and the Equivalent problem introduced to produce...Figure 6.2 Schematic for Planar near field scanning.Figure 6.3 Copolarization characteristic for ϕ = 0° cut for a 32 × 32 patch ...Figure 6.4 Copolarization characteristic for ϕ = 90° cut for a 32 × 32 patch...Figure 6.5 Cross‐polarization characteristic for ϕ = 0° cut for a 32 × 32 pa...Figure 6.6 Cross‐polarization characteristic for ϕ = 90° cut for a 32 × 32 p...Figure 6.7 Copolarization characteristic for ϕ = 0° cut for a 32 × 32 patch ...Figure 6.8 Copolarization characteristic for ϕ = 90° cut for a 32 × 32 patch...Figure 6.9 Cross‐polarization characteristic for ϕ = 0° cut for a 32 × 32 pa...Figure 6.10 Cross‐polarization characteristic for ϕ = 90° cut for a 32 × 32 ...Figure 6.11 Copolarization characteristic for ϕ = 0°cut for the microstrip a...Figure 6.12 Cross‐polarization characteristic for ϕ = 0°cut for the microstr...Figure 6.13 Copolarization characteristic for ϕ = 90°cut for the microstrip ...Figure 6.14 Cross‐polarization characteristic for ϕ = 90°cut for the microst...Figure 6.15 Relationship between scan length and the angular region of valid...Figure 6.16 All sources are located for z< 0.Figure 6.17 Comparison of exact and computed far‐fields for ϕ = 0° cut for 2...Figure 6.18 Comparison of exact and computed far‐fields for ϕ = 90° cut for ...Figure 6.19 Comparison of exact and computed far‐fields for ϕ = 0° cut for 2...Figure 6.20 Comparison of exact and computed far‐fields for ϕ = 90° cut for ...Figure 6.21 Amplitude of y component of measured electric near‐field for a 3...Figure 6.22 Amplitude of x component of measured electric near‐field for a 3...Figure 6.23 Co‐polarization characteristic for Φ = 0° cut for a 32 × 32...Figure 6.24 Co‐polarization characteristic for Φ = 90° cut for a 32 × 3...Figure 6.25 Cross‐polarization characteristic for ϕ = 0° cut for a 32 × Figure 6.26 Cross‐polarization characteristic for Φ = 90° cut for a 32 × ...Figure 6.27 Flow diagrams for the processing of the measured data for the mo...Figure 6.28 Flow charts for NF‐FF reconstruction from only amplitude data: (...Figure 6.29 The equivalent problem for the EMC.Figure 6.30 Reconstructed sources of the “chessboard” magnetic current distr...Figure 6.31 Far‐field pattern of the “chessboard”‐like magnetic current dist...Figure 6.32 Error of the iterative optimization. “chessboard”‐like magnetic ...Figure 6.33 Reconstruction of the amplitude of the electric field ( Ex, Ey ) a...Figure 6.34 Far‐field pattern of the splas antenna. φ = 0 –plane.Figure 6.35 Far‐field pattern of the splas antenna. φ = 90° –plane.Figure 6.36 Original Problem.Figure 6.37 An Equivalent Problem.Figure 6.38 A planar scanning case.Figure 6.39 A x ‐directed single probe.Figure 6.40 A x ‐directed single probe(side view).Figure 6.41 A x ‐directed probe array.Figure 6.42 A x ‐directed probe array(side view).Figure 6.43 E totalwhen phi = 0° (dB Scale).Figure 6.44 E totalwhen phi = 90° (dB Scale).Figure 6.45 A x ‐directed single probe.Figure 6.46 A x ‐directed single probe (side view).Figure 6.47 A x ‐directed probe array.Figure 6.48 A x ‐directed probe array (side view).Figure 6.49 E totalwhen phi = 0° (dB Scale).Figure 6.50 E totalwhen phi = 90° (dB Scale).Figure 6.51 A three‐element Yagi‐Uda antenna.Figure 6.52 E totalwhen φ = 0° (dB Scale).Figure 6.53 E totalwhen φ = 90° (dB Scale).Figure 6.54 A x ‐directed single probe.Figure 6.55 A x ‐directed single probe (side view).Figure 6.56 A x ‐directed probe array.Figure 6.57 A x ‐directed probe array (side view).Figure 6.58 E totalwhen phi = 0° (dB Scale).Figure 6.59 E totalwhen phi = 90° (dB Scale).Figure 6.60 Planar scanning for the x‐z plane.Figure 6.61 Planar scanning for y‐z plane.Figure 6.62 A x ‐directed rectangular probe array.Figure 6.63 A x ‐directed probe array (side view).Figure 6.64 A y ‐directed rectangular probe array.Figure 6.65 E total when ϕ = 0 (dB Scale).Figure 6.66 A x ‐directed probe array (step 2).Figure 6.67 A y ‐directed probe array (step 2).Figure 6.68 Etotal when ϕ = 90° (dB Scale) in step 2.Figure 6.69 A x ‐directed rectangular probe array.Figure 6.70 A x ‐directed probe array (side view).Figure 6.71 A y ‐directed rectangular probe array.Figure 6.72 E totalin dB when ϕ = 0° (step 1).Figure 6.73 A x ‐directed probe array (step 2).Figure 6.74 A y ‐directed probe array (step 2).Figure 6.75 E totalwhen ϕ = 90° (dB Scale).Figure 6.76 A three‐element Yagi‐Uda antenna.Figure 6.77 E totalin dB when φ = 0° (step 1).Figure 6.78 E totalin dB when φ = 90° (step 2).Figure 6.79 A x ‐directed probe array (step 1).Figure 6.80 A y ‐directed probe array (step 1).Figure 6.81 A x ‐directed probe array (side view).Figure 6.82 E totalin dB when ϕ = 0° (step 1).Figure 6.83 A x ‐directed probe array (step 2).Figure 6.84 A y ‐directed probe array (step 2).Figure 6.85 E totalin dB when ϕ = 90° (step 2).Figure 6.86 A 10 by 10 x ‐directed probe array with 0.2 λ separations in...Figure 6.87 The same x ‐directed probe array with 0.2 λ separations in b...Figure 6.88 Relative error for different sizes of the measurement planes wit...Figure 6.89 Relative error for different sizes of the measurement planes wit...Figure 6.90 E totalwhen φ = 0° (dB Scale) for all sizes of the measu...Figure 6.91 E totalwhen φ = 90° (dB Scale) for all sizes of the meas...Figure 6.92 A 50 by 50 x ‐directed probe array with 0.2 λ separations in...Figure 6.93 A 50 by 50 x ‐directed probe array with 0.2 λ separations in...Figure 6.94 Relative error for different sizes of measurement planes with 0....Figure 6.95 Relative error for different sizes of measurement planes with 0....Figure 6.96 E totalwhen φ = 0° (dB Scale) for all sizes of the measu...Figure 6.97 E totalwhen φ = 90° (dB Scale) for all sizes of the meas...Figure 6.98 E totalwhen φ = 0° (dB Scale) for all sizes of the measu...Figure 6.99 E totalwhen φ = 90° (dB Scale) for all sizes of the meas...Figure 6.100 E totalwhen φ = 0° (dB Scale) for all sizes of the meas...Figure 6.101 E totalwhen φ = 90° (dB Scale) for all sizes of the mea...Figure 6.102 E totalwhen φ = 0° (dB Scale) for all sizes of the meas...Figure 6.103 E totalwhen φ = 90° (dB Scale) for all sizes of the mea...Figure 6.104 Relative error for different sizes of measurement planes with 0...Figure 6.105 Relative error for different sizes of measurement planes with 0...Figure 6.106 A 24 by 24 x ‐directed probe array with 0.2 λ separations i...Figure 6.107 A 24 by 24 x ‐directed probe array with 0.2 λ separations i...Figure 6.108 Relative error for different sizes of measurement planes with 0...Figure 6.109 Relative error for different sizes of measurement planes with 0...Figure 6.110 E totalwhen φ = 0° (dB Scale) for all sizes of the meas...Figure 6.111 E totalwhen φ = 90° (dB Scale) for all sizes of the mea...Figure 6.112 E totalwhen φ = 0° (dB Scale) for all sizes of the meas...Figure 6.113 E totalwhen φ = 90° (dB Scale) for all sizes of the mea...Figure 6.114 E totalwhen ϕ = 0° (dB Scale) for all sizes of the measureme...Figure 6.115 E totalwhen ϕ = 90° (dB Scale) for all sizes of the measurem...Figure 6.116 Two planes of measurement for amplitude‐only data.Figure 6.117 A x ‐directed probe array.Figure 6.118 A x ‐directed probe array (side view).Figure 6.119 E totalwhen φ = 0° (dB Scale).Figure 6.120 E totalwhen φ = 90° (dB Scale).Figure 6.121 A x ‐directed probe array.Figure 6.122 A x ‐directed probe array (side view).Figure 6.123 E totalwhen φ = 0° (dB Scale).Figure 6.124 E totalwhen φ = 90° (dB Scale).Figure 6.125 E totalwhen φ = 0° (dB Scale).Figure 6.126 E totalwhen φ = 90° (dB Scale).Figure 6.127 A x ‐directed probe array.Figure 6.128 A x ‐directed probe array (side view).Figure 6.129 E totalwhen phi = 0° (dB Scale).Figure 6.130 E totalwhen phi = 90° (dB Scale).Figure 6.131 Planar near‐field measurement using a phased array of resonant ...Figure 6.132 A planar near‐field measurement configuration using an array of...