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antenna from 35 to 70 feet Even greater heights would <br />provide still greater communications distances unoer the <br />same conditions <br />The radiation angle of the lowest lobe for a hori­ <br />zontal antenna above the ground may be Determined <br />mathematically. <br />s sin <br />where <br />h <br />0 25 <br />the wave angle or radiation angle <br />; the antenna height above ground in <br />wavelengths (see Table 2) <br />In short, the higher the horizontal antenna, the lower <br />IS the lowest looe of the pattern Therefore, tne higher <br />an HF antenna can be placed, the farther it will provide <br />effective communications because of the resulting lower <br />radiation angle This is true for any horizontal antenna <br />Electrical Characteristics of HF Antennas <br />As mentioned previously, a dipole antenna, when <br />viewed from one end of the conductor, radiates an ecual <br />amount of power in all directions. The plotted radiation <br />pattern is a perfect circle. If the dipole is vertical, this <br />circle represents the azimuth coverage, with an equal <br />amount of power radiated m every compass direction <br />For point-to-point communications, however, it is bene ­ <br />ficial to concentrate the radiated energy into a beam <br />which IS aimed toward a single distant point. An analogy <br />can be made by comparing the light emanating from a <br />bare electric lamp to that from an automobile headlight. <br />For illuminating a distant point, the headlight is far more <br />effective. <br />Antennas designed to concentrate the radiated <br />energy into a beam are called beam antennas. For a <br />fixed amount of transmitter power fed to the transmitting <br />antenna, beam antennas provide increased signal <br />strength at a distant receiver. In radio communications, <br />the use of a beam antenna is also beneficial during <br />reception, because the antenna pattern for transmission <br />IS the same as for reception A beam antenna helps to <br />reject signals f'om unwanted directions, and in effect <br />boosts the strength of signals received from the desired <br />direction <br />Tne increase m signal or field strength which a beam <br />antenna offers is frequently referenced to a dipole <br />antenna by a term called gam. Gam is commonly <br />expressed m oecioels One type of beam antenna is a <br />Yagi, named after one of its Japanese inventors. <br />Different varieties of Yagi antennas exist, each having <br />somewhat different characteristics. Many antennas <br />erected for television reception are a form of multi­ <br />element Yagi beam. <br />Subsequent discussions m this paper refer to a <br />3-element Yagi array, one having a driven element, a <br />parasitic director and a parasitic reflector The parasitic <br />elements are not fed any power directly; instead they are <br />excited through mutual coupling to the driven element, <br />and in turn also radiate power Each parasitic element <br />is spaced 0.2 wavelength from the driven element, and <br />Fig 6—Computer-calculated azimuth-plane radiation <br />pattern tor a horizontal 3-element Yagi array (solid <br />line), and tor a comparison dipole (bioken line). <br />Fig 7—Computer-calculated elevation-plane or vertical- <br />profile pattern of a horizontal Yagi array, solid line, and <br />for a comparison dipole, broken line. These patterns <br />are those seen from the ends of the elements with the <br />antennas in free space. <br />the theoretical gam of this array, determined through <br />computer analysis, is 7.2 dB over a dipole. This means <br />that for the same transmitter power, the effective radiated <br />power of the Yagi in its favored direction is 5.2 times that <br />of the dipole in the same direction The theoretical front- <br />to-back ratio of the Yagi antenna is 12 dB. meaning the <br />power radiated in its forward direction is. 15.7 times that <br />radiated m the opposite direction. Values for a practical <br />antenna of this type are quite close to theoretical. <br />Computer-calculated radiation patterns for the <br />horizontal Yagi array are presented m Figs 6 and 7. <br />Fig 6 sho .s the azimuth plane, the response m various