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Table 2 —Electrical Heights For Amateur Barids <br />below 30 MHz <br />Fig 4—Elevation^lane pattern for a horizontal dipole at <br />a height of Vi wavelength (solid line) and In free space <br />(broken line). <br />Frequency <br />1.6 MHz <br />3.5 <br />7.0 <br />10.1 <br />14.0 <br />18.1 <br />21.0 <br />24.9 <br />28.0 <br />35 feet <br />physical <br />height <br />0.06 wavelength <br />0.12 <br />0.25 <br />0.36 <br />0.50 <br />0.64 <br />0.75 <br />0.89 <br />1.00 <br />70 feet <br />physical <br />height <br />0.13 wavelength <br />0.25' • <br />0.50 <br />0.72 <br />1.00 <br />1.29 <br />1.49 <br />1.77 <br />1.99 <br />Fig S—Elevation>plane pattern for a horizontal dipole at <br />(broken\ine) <br />O <br />case the resultant field strength is equal to the sum of <br />the two components. At other vertical angles the two <br />waves may be completely out of phase at some distant <br />point—that Is, the fields are maximum at the same <br />instant but the phase directions are opposite. The <br />resultant field strength in this case is the difference <br />between the two. At still other angles the resultant field <br />will have Intermediate values. Thus, the effect of the <br />ground is to increase the intensity of radiation at some <br />vertical angles and to decrease it at others. The elevation <br />arigles at which the maxima and minima occur depend <br />primarily on the antenna height above ground. (The <br />electrical characteristics of the ground have some slight <br />effect.) <br />If the earth is considered to be a perfect reflector, <br />straightforward trigonometric calculations can be made <br />to determine the relative amount of radiation intensity <br />at any vertical angle for any dipole height. Graphs from <br />such calculations may be plotted as circular or polar <br />diagrams, called radiation patterns. Fig 4 shows the <br />vertical radiation pattern for a dipole antenna positioned <br />one*half wavelength above the ground, viewed from one <br />end, and Fig 5 for a height of one wavelength. The <br />radiation from the dipole if in free space Is shown by the <br />broken lines, and appear as semi-circles. <br />In the plots of Figs 4 and 5. the radiation angle <br />above the horizon is represented in the same fashion <br />that angles are measured on a protractor. The concentric <br />circles are calibrated to represent ratios of field <br />strengths, referenced to the strength represented by the <br />outer circle. The circles are calibrated in decibels. <br />Diminishing strengths are plotted toward the center. <br />Antenna heights are usually discussed in terms of <br />wavelengths. The reason for this is that the length of a <br />radio wave is inversely proportional to its frequency. <br />Therefore a fixed physical height will represent different <br />electrical heights at different radio frequencies. For <br />example, a height of 70 feet represents one wavelength <br />at a frequency of 14 MHz. But the same 70-foot height <br />represents only Vi wavelength for a frequency of 7 MHz. <br />For physical antenna heights of 35 and 70 feet. Table <br />2 shows the electrical heights in wavelengths for all the <br />amateur bands below 30 MHz. <br />The lobes and nulls of the pattern of Figs 4 and 5 <br />illustrate what was described earlier, that the effect of <br />the earth beneath the antenna is to increase the intensity <br />of radiation at some vertical angles and to decrease it <br />at others. At a height of wavelength (Fig 4), the . <br />radiated energy is strongest at a radiation angle of 30*, <br />an angle which was determined earlier to provide a <br />maximum effective communications distance of about <br />3250 miles under the conditions assumed. The pattern <br />of Fig 4 represents the radiation from a dipole for 14 MHz <br />at a height of 35 feet. <br />As the horizontal antenna is raised to even greater <br />heights, additional lobes are formed, and those that exist <br />move closer to the horizon. But yet the maximum <br />amplitude of the existing lobes is not diminished. As <br />may be seen from Fig 5, for an antenna height of <br />1 wavelength, the energy in the lower lobes is strongest <br />at 15®. And Table 1 indicates that the optimum <br />propagation distance per hop for 15® is 1200 miles. <br />Under the very same conditions as before, 5-hop <br />propagation, one may see that the greatest distance for <br />optimum communication now is 5 x 1200 or 6000 miles. <br />The pattern of Fig 5 represents a 14-MHz dipole at a <br />height of 70 feet. Thus, for the conditions assumed, the <br />optimum communications distance has been extended <br />from 3250 miles to 6000 miles, merely by raising the <br />T I