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shion <br />entric <br />field <br />Dy the <br />libels, <br />nter. <br />ms of <br />ih of a <br />jency. <br />tterent <br />s. For <br />length <br />height <br />7 MHz. <br />Table <br />all the <br />and 5 <br />Hect of <br />itensity <br />ease it <br />4). the <br />of 30®. <br />ovide a <br />if about <br />pattern <br />14 MHz <br />t a <br />[he <br />compass direct»ofts. as a solid une The brot^en ime m <br />F*g 6 shcK»$ the pattern o? a halt-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 anterma m free space The soitci <br />line again represents the Yagi. and the broken hr>e the <br />dipole, th^ ■■ perfect circle ” which was ment«x>ed earlier <br />Performance of most other Yag»-type arrays with three <br />or four elements will no* be significantly different from <br />the patterns shown here <br />Another often-used type of becm antenna is the <br />quad array Typically, a quad is constructed with two or <br />more wire elements m tho form of a square or a diamofKJ. <br />The conducting wires are usuafly supported by X-shaped <br />frames of wood or fiberglass material For the same <br />number o* elements and soacinq. the pedormance 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 refiector an unrea'istic <br />Situation Actual earth does not reflect ail of the radio- <br />frequency energy striking it, some absorption fakes <br />place Over real earth, therefore, the patterns wiH be <br />slightly different, depencing upon the electrical con­ <br />ductivity and Qieiectnc constant of the soil, and upon the <br />radio frequency Computer programs are available to <br />take these factors mto account, and reliable calculations <br />of patterns over real earth may oe made > agi patterns <br />over real eanh are shown in Figs 8 through f4. These <br />patterns were calculated with an Apple He personal <br />computer ^ “Average ” soil conoitions were used for <br />these plots, that is. a conductivity of 5 nillisiemens 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-toof height, and the solid line for 70 feet. <br />For 24 9 and 28 MHo Figs 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 />commefcialiy available so*iAare prog'am ANNIE, was used <br />to calculate all oattems presentee in tnis paper <br />‘Such soil conditions may be considered typical for the central <br />pan of tne United States such as tne Oriio and Mississippi <br />river val'evs <br />«c 1 <br />Fig 8—Vertical-profile pattern of a ;-MHz Yagi beam <br />over average earth at a height of 70 feet (solid line) <br />and at 35 feet (broken line). <br />/ \\ -V- <br />V • <br />A, <br />i ! <br />J. <br />Fig 9—Vertical-profile pattern of a lO.f-MHa Yagi beam <br />at 70 feet (solid line) and at 35 feet (broken line). <br />\ <br />''V <br />>■ <br />X. <br />Fig 10—VeflicaJ-profiic pattern of a 14-MHz Yagi beam <br />at 70 feet (solid tine) and a! 35 feet (broken line). <br />Fig 11—Vertical-profile pattern of an 18.1-MHz Yagi <br />beam at 70 feet (solid line) and at 35 feet (broken line). <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 />j