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^ ' <br />compass directions. a> a solid i;ne The broken line in <br />Fig 6 shows the oattern of a half-wavelength dipole, for <br />comparison. Fig 7 shows the elevation plane or vertical- <br />profile pattern. This pattern is that seen from the ends <br />of the elements, with the antenna in free space The solid <br />line again represents the Yagi. and the broken line the <br />dipole, that “perfect circle" which was mentioned earlier. <br />Performance of most other Yagi-type arrays with three <br />Of four elements will not be significantly different from <br />the patterns shown here <br />Another often-used type of beam antenna is the <br />quad array. Typically, a quad is constructed with two or <br />more wire elements in the form of a souare o. a diamond. <br />The conducting wires are usually supported by X-shaped <br />frames of wood or fiberglass material For the same <br />number of elements and spacing, the performance of a <br />quad beam is generally similar to that of a Yagi beam. <br />The vertical patterns of Figs 4 and 5 were calculated <br />by assuming the earth is a perfect reflector, an unrealistic <br />situation. Actual earth does not reflect all of the radio- <br />frequency energy striking it; some absorption takes <br />place. Over real earth, therefore, the patterns will be <br />slightly different, depending upon the electrical con ­ <br />ductivity and dielectric constant of the soil, and upon the <br />radio frequency. Computer programs are available to <br />take these factors into account, and raliable calculations <br />of patterns over real earth may oe made. Yagi patterns <br />over real earth are shown m Figs 8 through 14. These <br />patterns were calculated with an Apple lie personal <br />computer 3 "Average" soil conditions were used for <br />these plots, that is. a conductivity of 5 milhsiemens per <br />meter and a dielectric constant of 15 ■* These patterns <br />compare the performance of Yagi arrays at heights of <br />35 and 70 feet. In Figs 6 through 12. the broken line is <br />the plot for a 35-foot height, and the solid line for 70 feet. <br />For 24.9 and 28 MHz. F-gs 13 and 14. it is helpful to <br />present the 35- and 70-foot patterns m separate graphs, <br />for clarity. Otherwise the multiple lobes become indis ­ <br />tinguishable <br />^A commercially available sofiA-are p'ligram ANNIE, was used <br />to calculate all oattems presented in th's paper <br />••Such soil conditions may be considered typical for the central <br />part of tne United Stales sucn as the Ohio ana Mississippi <br />river val'eys. <br />«? <br />Fig 8—Vertical-profile pattern of a 7-MHz Yagi beam <br />over average earth at a height of 70 feet (solid line) <br />and at 35 (eel (broken line). <br />Fig 9—Vertical-protile pattern of a 10.1*MHz Yagi beam <br />at 70 feet (solid tine) and at 35 feet (broken line). <br />»o <br />Fig 10—Vertical-profile pattern of a 14-MHz Yagi beam <br />at 70 feet (solid line) and at 35 feet (broken line). <br />Fig 11 —Vertical-Mrofile pattern of an 18.1 -MHz Yagi <br />beam at 70 feet (solid line) and at 35 feet (broken kre). <br />Fig 12 —Vertical-profile pattern of a 21 -MHz Yagi beam <br />at 70 feet (solid line) and at 35 feet (broken line). <br />i| <br />\ <br />■ -.g—