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Chapter 1 Introduction to Phased Arrays |
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1 | (62) |
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1.1 Phased Array History and Perspective |
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2 | (5) |
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1.2 Fundamentals of Wave Propagation: The Wave Equation |
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7 | (19) |
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1.2.1 Boundary Condition Cases |
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13 | (13) |
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26 | (2) |
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1.4 Aperture State Fundamentals |
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28 | (22) |
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1.4.1 General Aperture State Relationships |
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40 | (7) |
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1.4.2 Radiation Integrals for Circular Apertures |
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47 | (3) |
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1.5 Array Far-Field Fundamentals |
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50 | (4) |
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1.6 Frequency-Time Domains |
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54 | (9) |
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1.6.1 Frequency-Time Domain: Fast Fourier Transform |
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58 | (4) |
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62 | (1) |
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63 | (86) |
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2.1 Array Far-Field Radiation |
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63 | (1) |
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2.2 Array Far-Field Fundamental Observations |
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63 | (5) |
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68 | (5) |
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73 | (6) |
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79 | (25) |
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2.5.1 Linear Arrays in Sine Space |
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84 | (9) |
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2.5.2 Linear Array Aperture Projection |
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93 | (11) |
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104 | (21) |
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2.6.1 Planar Arrays with No Real-Space Grating Lobes |
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108 | (6) |
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2.6.2 Planar Arrays with Real-Space Grating Lobes |
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114 | (11) |
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125 | (24) |
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2.7.1 Radius of Curvature Embedded Element Geometry |
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126 | (6) |
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2.7.2 Conformal Array Phase Alignment |
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132 | (8) |
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2.7.3 Eclipsed Elements in Conformal Arrays |
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140 | (8) |
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148 | (1) |
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149 | (66) |
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149 | (1) |
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149 | (13) |
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3.2.1 Phased Array Surface Wave Condition |
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154 | (5) |
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3.2.2 Phased Array Scan Volume |
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159 | (3) |
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162 | (32) |
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3.3.1 Rectangular Lattice |
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164 | (13) |
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3.3.2 Equilateral Triangular Lattice |
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177 | (10) |
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3.3.3 Isosceles Triangular Lattice |
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187 | (7) |
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3.4 Reordered Lattice Theory |
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194 | (14) |
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3.4.1 Ring Lattice Arrays |
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196 | (9) |
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3.4.2 Spiral Lattice Arrays |
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205 | (3) |
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3.5 Finite Array and Surface Wave Effects |
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208 | (7) |
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213 | (2) |
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Chapter 4 Array Fundamentals: Supporting Theories, Part I |
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215 | (48) |
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215 | (1) |
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4.2 Radiating Aperture Fundamentals: Three Domains |
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215 | (7) |
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222 | (4) |
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4.3.1 Case 1: Hybrid Beamformed, Single Polarization |
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223 | (2) |
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4.3.2 Case 2: Analog Beamformed, Dual Simultaneous Polarization |
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225 | (1) |
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226 | (3) |
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4.4.1 Theorem of Reciprocity |
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226 | (2) |
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4.4.2 Conservation of Energy |
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228 | (1) |
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228 | (1) |
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229 | (1) |
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229 | (14) |
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4.5.1 The Far-Field Criterion |
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230 | (4) |
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4.5.2 Array Reactive and Near Fields |
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234 | (9) |
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4.6 Rotational Transforms |
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243 | (20) |
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243 | (5) |
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248 | (3) |
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4.6.3 Rotated Coordinate Frames |
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251 | (6) |
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4.6.4 Inverted Rotated Coordinate Frames |
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257 | (3) |
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260 | (3) |
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Chapter 5 Array Fundamentals: Supporting Theories, Part II |
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263 | (44) |
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263 | (1) |
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264 | (6) |
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270 | (22) |
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5.3.1 Polarization Transforms |
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270 | (7) |
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277 | (1) |
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5.3.3 Polarization Isolation |
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278 | (2) |
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280 | (4) |
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5.3.5 Scan-Dependent Polarization Properties |
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284 | (5) |
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5.3.6 Polarization Compensation |
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289 | (3) |
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5.4 Phased Array Noise Temperature |
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292 | (15) |
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5.4.1 Antenna Noise Sources |
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293 | (8) |
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301 | (4) |
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305 | (2) |
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Chapter 6 Phased Array Radiating Elements |
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307 | (52) |
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307 | (2) |
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6.2 Single-Element Dipole over Ground Plane Radiators |
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309 | (8) |
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6.2.1 Dipole Boundary Conditions |
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310 | (2) |
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312 | (5) |
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6.3 Single-Element Waveguide Radiators |
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317 | (17) |
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6.3.1 Rectangular Waveguide |
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318 | (8) |
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326 | (4) |
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6.3.3 Circular Waveguide Radiator |
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330 | (4) |
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6.4 Single-Element Patch Radiators |
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334 | (25) |
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6.4.1 Square Patch Boundary Conditions |
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335 | (2) |
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6.4.2 Square Patch Design Methods |
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337 | (4) |
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6.4.3 Square Patch Radiation |
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341 | (8) |
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6.4.4 Circular Patch Boundary Conditions |
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349 | (3) |
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6.4.5 Circular Patch Radiation |
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352 | (4) |
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356 | (3) |
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Chapter 7 Active Radiating Elements |
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359 | (108) |
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359 | (1) |
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7.2 Mutual Coupling and Embedded Elements in Arrays |
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360 | (19) |
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7.2.1 Active Impedance, Reflection Coefficient, and Embedded Element Gain |
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365 | (9) |
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374 | (1) |
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7.2.3 Real-Space Grating Lobes |
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375 | (3) |
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7.2.4 Surface Impedance Effects |
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378 | (1) |
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7.3 Active Radiating Element Cases |
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379 | (1) |
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7.4 Active Dipole over Ground Plane Radiators |
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380 | (49) |
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7.4.1 Linear Dipole Array |
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380 | (12) |
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392 | (13) |
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405 | (24) |
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7.5 Active Patch Radiators |
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429 | (38) |
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7.5.1 Balanced Patch Radiator Array |
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430 | (11) |
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7.5.2 Unbalanced Patch Radiator Array |
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441 | (11) |
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7.5.3 Balanced Stacked Patch Radiator in a Rectangular Lattice Array |
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452 | (14) |
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466 | (1) |
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Chapter 8 Far-Field Synthesis, Part I |
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467 | (40) |
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467 | (1) |
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8.2 Fourier Transform Method for Linear Arrays |
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468 | (16) |
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484 | (9) |
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493 | (1) |
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8.5 Truncated Complex Gaussian Forms |
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493 | (6) |
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8.5.1 Truncated Gaussian Magnitude Aperture Taper |
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493 | (6) |
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8.5.2 Truncated Gaussian Phase Aperture Taper |
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499 | (1) |
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8.6 Modified sin(x)/x Distribution |
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499 | (8) |
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505 | (2) |
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Chapter 9 Far-Field Array Synthesis, Part II |
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507 | (52) |
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507 | (1) |
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9.2 Woodward-Lawson Method |
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508 | (23) |
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9.2.1 Nonorthogonal Woodward-Lawson Method |
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517 | (9) |
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9.2.2 Difference Patterns by the Woodward-Lawson Method |
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526 | (1) |
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9.2.3 Woodward-Lawson Synthesis Method with Controlled Sidelobes |
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526 | (5) |
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9.3 Dolph-Chebyshev Synthesis |
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531 | (2) |
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9.4 Taylor Line Source Synthesis |
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533 | (11) |
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9.5 Planar 2-D Array Distributions |
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544 | (2) |
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9.6 Circular Aperture Distributions |
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546 | (9) |
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9.6.1 Taylor Circular Array Sources |
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549 | (6) |
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9.7 Iterative Synthesis Methods |
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555 | (2) |
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557 | (2) |
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558 | (1) |
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Chapter 10 Stochastic Aperture Errors in Phased Arrays |
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559 | (48) |
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559 | (26) |
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10.1.1 Stochastic (Random) Errors in Arrays |
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560 | (7) |
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10.1.2 Average (rms) Far-Field Characteristics |
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567 | (9) |
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10.1.3 Beam-Pointing Error |
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576 | (5) |
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10.1.4 Peak and rms Sidelobes |
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581 | (1) |
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10.1.5 Dispersion and Its Impact on Instantaneous Bandwidth |
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582 | (3) |
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10.1.6 Polarization Isolation |
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585 | (1) |
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10.2 Stochastic Error Budgets |
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585 | (3) |
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10.3 Periodic (Correlated) Array Errors |
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588 | (19) |
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10.3.1 Element-Level Phase Quantization |
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589 | (1) |
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10.3.2 Subarray Spatial Effects |
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590 | (9) |
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10.3.3 Subarray Frequency-Domain Effects |
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599 | (5) |
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604 | (2) |
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606 | (1) |
About the Author |
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607 | (2) |
Index |
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609 | |