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Cosecant squared antenna

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systems. It is shaped to send more radio energy in certain directions in order to smooth out the reception pattern of objects as their range changes in relation to the radar. The name refers to the fact that the amount of energy returned from a target drops off with the square of the cosecant of the
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To counteract this, the scanning antenna was re-aimed so that it was pointed almost directly forward, thereby sending most of the radar energy at low angles relative to the aircraft, thereby increasing the energy available at long range. This left the area directly under the aircraft receiving no
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The same basic concept soon found many roles. For ground-based radars, the same modification could be used to provide scanning at high angles above the station while still sending most of the energy towards low angles to detect aircraft at long range as they rose above the
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distance between the radar and the terrain is the cosecant of the angle between the fuselage and the target, and the energy falls off with the fourth root of that number. Without correction, this produced a display where the ground under the aircraft was very bright on the
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energy at all, so the upper lip of the reflector was bent to reflect a small amount of energy in that direction. This results in a more even display pattern.
242:, say the altitude of the ground scanning aircraft, or a ground radar watching an aircraft at constant altitude, then we can eliminate 314: 95:
The opposite modification could also be used, bending the upper lip outward, with the same basic outcome.
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shows the cosecant squared pattern in the increased curvature of the upper lip of the reflector plate.
168:, varies inversely with the 4th power of range and directly as the square of the antenna gain, 8: 40: 297: 301: 289: 77: 275:"Microstrip patch antenna array with cosecant-squared radiation pattern profile" 335: 293: 273:
Kaboutari, Keivan; Zabihi, A.; Virdee, B.S.; Pilevari Salmasi, Mostafa (2019).
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display, while the terrain at longer distances was almost invisible.
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The radar equation states that the signal received from an object,
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AEU - International Journal of Electronics and Communications
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The concept originated as part of the development of the
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at further distances is much a weaker signal due to the
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Type of parabolic reflector used in some radar systems
327: 48:angle between the radar and the target. 18: 315:"Antenna with Cosecant Squared Pattern" 189:. If the goal is to produce a constant 328: 256:, the cosecant squared relationship. 13: 14: 347: 107:above the ground and slant range 219:Substituting in our formula for 115:that can be calculated through 266: 51: 1: 259: 98: 7: 10: 352: 294:10.1016/j.aeue.2019.05.003 39:, is a modified form of 33:cosecant squared antenna 37:constant height pattern 35:, sometimes known as a 28: 130:. By re-arrangement, 22: 103:An object at height 23:The antenna of this 41:parabolic reflector 29: 246:as well, leaving 343: 322: 306: 305: 279: 270: 255: 237: 215: 205: 188: 157: 143: 129: 78:cathode ray tube 351: 350: 346: 345: 344: 342: 341: 340: 326: 325: 313: 310: 309: 277: 271: 267: 262: 247: 224: 207: 197: 194: 178: 173: 166: 145: 131: 116: 111:forms an angle 101: 54: 17: 12: 11: 5: 349: 339: 338: 324: 323: 319:Radar Tutorial 308: 307: 264: 263: 261: 258: 192: 176: 164: 100: 97: 66:radar equation 62:terrain return 53: 50: 15: 9: 6: 4: 3: 2: 348: 337: 334: 333: 331: 320: 316: 312: 311: 303: 299: 295: 291: 287: 283: 276: 269: 265: 257: 254: 250: 245: 241: 235: 231: 227: 222: 217: 214: 210: 204: 200: 195: 187: 183: 179: 171: 167: 159: 156: 152: 148: 142: 138: 134: 128: 124: 120: 114: 110: 106: 96: 93: 91: 90:radar horizon 85: 81: 79: 74: 69: 67: 63: 59: 49: 46: 43:used in some 42: 38: 34: 26: 21: 318: 285: 281: 268: 252: 248: 243: 239: 233: 229: 225: 220: 218: 212: 208: 202: 198: 190: 185: 181: 174: 172:, such that 169: 162: 160: 154: 150: 146: 140: 136: 132: 126: 122: 118: 112: 108: 104: 102: 94: 86: 82: 70: 55: 36: 32: 30: 73:slant range 52:Development 260:References 99:Derivation 302:155372265 288:: 82–88. 58:H2S radar 25:H2S radar 330:Category 196:, then 300:  251:~ csc 223:gives 144:, or 139:/ sin 336:Radar 298:S2CID 278:(PDF) 206:, or 45:radar 232:csc 153:csc 117:sin 71:The 290:doi 286:106 228:~ ( 332:: 317:. 296:. 284:. 280:. 216:. 211:~ 201:~ 184:/ 180:~ 158:. 149:= 135:= 125:/ 121:= 92:. 68:. 31:A 321:. 304:. 292:: 253:α 249:G 244:h 240:h 236:) 234:α 230:h 226:G 221:R 213:R 209:G 203:R 199:G 193:e 191:P 186:R 182:G 177:e 175:P 170:G 165:e 163:P 155:α 151:h 147:R 141:α 137:h 133:R 127:R 123:h 119:α 113:α 109:R 105:h

Index


H2S radar
parabolic reflector
radar
H2S radar
terrain return
radar equation
slant range
cathode ray tube
radar horizon
"Microstrip patch antenna array with cosecant-squared radiation pattern profile"
doi
10.1016/j.aeue.2019.05.003
S2CID
155372265
"Antenna with Cosecant Squared Pattern"
Category
Radar

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