Practical_Antenna_Handbook_0071639586
268 P a r t I V : D i r e c t i o n a l H i g h - F r e q u e n c y A n t e n n a A r r a y s A B /2 /4 /4 L 1 L 2 L 1 L 2 L 3 To transmitter Figure 11.2A Feeding a phased array antenna in phase. Its effect is to cause a line that is electrically l/2 to be much shorter than l/2 physically. In particular: L = v L (11.1) PHYSICAL F ELECTRICAL Example 11.1 Assuming the use of standard RG-8U coaxial cable with a velocity factor of 0.67, a half-wavelength section of cable for 3.6 MHz is vF Ll (feet) = 492 = 91.57 ft = 91 ft 7 in (11.2) 2 PHY F (MHz) If we are interested only in the end-fire pattern of Fig. 11.1B, we can feed the array as shown in Fig. 11.2B, where it is understood that the lengths shown for the segments of coaxial cable are electrical lengths, not physical lengths. If, instead, we wish to be able to switch back and forth easily between broadside and end-fed modes, we can use the circuit of Fig. 11.3. Here two convenient, but equal, lengths of coaxial cable (L 1 and L 2 ) are used to carry RF power to the antennas. One segment (L 1 ) is fed directly from the
C h a p t e r 1 1 : V e r t i c a l A r r a y s 269 A B /2 /4 /4 /4 3/4 Coax to XMTR Figure 11.2B Minimum length feed for a phased array antenna. transmitter’s coaxial cable (L 3 ), while the other is fed from a phasing switch. The phasing switch is used to either bypass or insert a phase-shifting length of coaxial cable (L 4 ). In principle this technique allows the selection of varying amounts of phase shift from 45 degrees to 270 degrees. However, at other than 0 degrees and 180 degrees, the currents no longer split equally between the two elements because the element feedpoint impedances are not the same. In general, for angles other than 0 degrees or 180 degrees, more complicated feed systems, including current-forcing techniques, are employed. When unequal lengths of transmission line go to the elements of an array, unequal amplitudes are a likely by-product. The most noticeable effect for small differences, such as would occur when adding a l/2 section of cable to implement the end-fire mode, will be to cause the nulls to fill in and lose some of their depth. With the addition of a phasing transformer, a two-element vertical array can be remotely switched between broadside and end-fire modes while preserving balanced drive currents at the two elements. Figure 11.4 shows how a two-element array is fed through such a two-port phasing transformer. The phase-reversing switch S 1 can, of course, consist of coaxial relays controlled from the transmitter end of the transmission line. The transformer itself is made from a 1:1 toroidal balun kit such as those available from Amidon Associates and others. Wind the three coils in trifilar style, according to the kit instructions. The dots in Fig. 11.4A show the “sense” of the coils, and they are important for correct phasing; call one end the “dot end” and the other end the “plain end”—and mark them differently—to keep track of them. If the dot end of the first coil is connected to J 3 (where the feedline from the transmitter or receiver attaches), connect the dot end of the second coil to the 0-degree output (J 1 , which goes to array element A). The third coil is connected to J 2 through a DPDT low-loss RF relay or switch rated for the power levels involved. Al-
- Page 235 and 236: CHAPTER 8 Multiband and Tunable Wir
- Page 237 and 238: C h a p t e r 8 : M u l t i b a n d
- Page 239 and 240: C h a p t e r 8 : M u l t i b a n d
- Page 241 and 242: C h a p t e r 8 : M u l t i b a n d
- Page 243 and 244: C h a p t e r 8 : M u l t i b a n d
- Page 245 and 246: C h a p t e r 8 : M u l t i b a n d
- Page 247 and 248: CHAPTER 9 Vertically Polarized Ante
- Page 249 and 250: C h a p t e r 9 : V e r t i c a l l
- Page 251 and 252: C h a p t e r 9 : V e r t i c a l l
- Page 253 and 254: Quarter-wave vertical radiator Insu
- Page 255 and 256: C h a p t e r 9 : V e r t i c a l l
- Page 257 and 258: C h a p t e r 9 : V e r t i c a l l
- Page 259 and 260: C h a p t e r 9 : V e r t i c a l l
- Page 261 and 262: C h a p t e r 9 : V e r t i c a l l
- Page 263 and 264: C h a p t e r 9 : V e r t i c a l l
- Page 265 and 266: C h a p t e r 9 : V e r t i c a l l
- Page 267 and 268: C h a p t e r 9 : V e r t i c a l l
- Page 269 and 270: Directional High-Frequency Antenna
- Page 271 and 272: CHAPTER 10 Wire Arrays When a singl
- Page 273 and 274: C h a p t e r 1 0 : W i r e A r r a
- Page 275 and 276: C h a p t e r 1 0 : W i r e A r r a
- Page 277 and 278: Wire 2 C h a p t e r 1 0 : W i r e
- Page 279 and 280: C h a p t e r 1 0 : W i r e A r r a
- Page 281 and 282: C h a p t e r 1 0 : W i r e A r r a
- Page 283 and 284: CHAPTER 11 Vertical Arrays Despite
- Page 285: C h a p t e r 1 1 : V e r t i c a l
- Page 289 and 290: C h a p t e r 1 1 : V e r t i c a l
- Page 291 and 292: C h a p t e r 1 1 : V e r t i c a l
- Page 293 and 294: C h a p t e r 1 1 : V e r t i c a l
- Page 295 and 296: CHAPTER 12 The Yagi-Uda Beam Antenn
- Page 297 and 298: C h a p t e r 1 2 : T h e Y a g i -
- Page 299 and 300: C h a p t e r 1 2 : T h e Y a g i -
- Page 301 and 302: C h a p t e r 1 2 : T h e Y a g i -
- Page 303 and 304: C h a p t e r 1 2 : T h e Y a g i -
- Page 305 and 306: C h a p t e r 1 2 : T h e Y a g i -
- Page 307 and 308: C h a p t e r 1 2 : T h e Y a g i -
- Page 309 and 310: C h a p t e r 1 2 : T h e Y a g i -
- Page 311 and 312: C h a p t e r 1 2 : T h e Y a g i -
- Page 313 and 314: C h a p t e r 1 2 : T h e Y a g i -
- Page 315 and 316: C h a p t e r 1 2 : T h e Y a g i -
- Page 317 and 318: C h a p t e r 1 2 : T h e Y a g i -
- Page 319 and 320: C h a p t e r 1 2 : T h e Y a g i -
- Page 321 and 322: C h a p t e r 1 2 : T h e Y a g i -
- Page 323 and 324: C h a p t e r 1 2 : T h e Y a g i -
- Page 325 and 326: C h a p t e r 1 2 : T h e Y a g i -
- Page 327 and 328: C h a p t e r 1 2 : T h e Y a g i -
- Page 329 and 330: C h a p t e r 1 2 : T h e Y a g i -
- Page 331 and 332: C h a p t e r 1 2 : T h e Y a g i -
- Page 333 and 334: CHAPTER 13 Cubical Quads and Delta
- Page 335 and 336: C h a p t e r 1 3 : C u b i c a l Q
268 P a r t I V : D i r e c t i o n a l H i g h - F r e q u e n c y A n t e n n a A r r a y s<br />
A<br />
B<br />
/2<br />
/4 /4<br />
L 1 L 2<br />
L 1 L 2<br />
L 3<br />
To transmitter<br />
Figure 11.2A Feeding a phased array antenna in phase.<br />
Its effect is to cause a line that is electrically l/2 to be much shorter than l/2 physically.<br />
In particular:<br />
L = v L<br />
(11.1)<br />
PHYSICAL<br />
F<br />
ELECTRICAL<br />
Example 11.1 Assuming the use of standard RG-8U coaxial cable with a velocity factor<br />
of 0.67, a half-wavelength section of cable for 3.6 MHz is<br />
<br />
vF<br />
Ll (feet) = 492 = 91.57 ft = 91 ft 7 in (11.2)<br />
2 PHY F (MHz)<br />
If we are interested only in the end-fire pattern of Fig. 11.1B, we can feed the array<br />
as shown in Fig. 11.2B, where it is understood that the lengths shown for the segments<br />
of coaxial cable are electrical lengths, not physical lengths. If, instead, we wish to be able<br />
to switch back and forth easily between broadside and end-fed modes, we can use the<br />
circuit of Fig. 11.3. Here two convenient, but equal, lengths of coaxial cable (L 1 and L 2 )<br />
are used to carry RF power to the antennas. One segment (L 1 ) is fed directly from the