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w <br />lat modes <br />ropagation <br />However. <br />1 the writer <br />as many as <br />jossibility.* <br />jnanimous <br />tions at HF <br />angle. <br />ed for HF <br />lipole. The <br />into which <br />Secause of <br />bjected to <br />he results <br />For these <br />:onvement <br />r antenna <br />Tna, when <br />U of power <br />r HF radio <br />tenna are <br />ath it. If a <br />the earth, <br />the dipole <br />nbine with <br />above the <br />i height of <br />character- <br />tntenna. <br />. the direct <br />B—that is. <br />waves are <br />)int. In this <br />er 1. Fig 12. <br />der contract <br />. NY A part <br />Dartmouth, <br />Table 2—Electrical Heights For Amateur Bands <br />below 30 MHz <br />F,Q 4-El.vat<on-ptan« pattern for a <br />a height of wavelength (solid line) and m free space <br />(brotien line). <br />Fig 5-tlevation-ptane pattern for a f <br />a height of 1 wavelength (solid line) and in free space <br />(broken tine). <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 -s the d'Herence <br />between the two At still other angles the resultant field <br />will have intermediate values Thus, the effect of the <br />around is to increase the intensity of radiation at some <br />vertical angles and to decrease it at others The elevation <br />angses 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 />6tt6Ct.) <br />If the earth is considered to be a perfect reflector, <br />straiahttorward trigonometric calculations can be made <br />10 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 />diaqrams. 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 d.pole if m free space is shown by the <br />broken lines, and appear as semi-circles. <br />!n the plots of Figs 4 and 5. the radiation angle <br />frecfi/ency <br />18 MHz <br />35 <br />35 ftper <br />pny$<*' <br />0 06 wavefength <br />0 12 <br />0 25 <br />0 36 <br />0 50 <br />064 <br />0 75 <br />0 89 <br />1 00 <br />70 feet <br />physical <br />fwgKt <br />0 13 wav«i*ngth <br />025 <br />0 50 <br />0 72 <br />1 00 <br />1 29 <br />1 49 <br />1 77 <br />1 99 <br />above the horizon is represented in the same fasf.ion <br />that angles are measured on a protractor. The concentric <br />circles are calibrated to represent ratios of field <br />stiengths, referenced to the strength represented by the <br />outer circle. The circles are calibrated m decibels. <br />Diminishing strengths are plotted toward the center. <br />Antenna heights are usually discussed m terms of <br />wavelengths The reason for this is that the length of a <br />radio wave 'S inversely proportional to its frequency. <br />Therefore a fixed physical height will represent different <br />e ’ectrical heights at different radio frequencies For <br />example, a height of 70 feet represents <br />at a frequency of 14 MHz But the same 70- oo etg <br />represents only Vz wavelength for a frequency of 7 MHz. <br />For physical antenna heights of 35 and 70 feet, Table <br />2 shows the electrical heights m wavelengths for all the <br />amateur bands below 30 MHz . e <br />The lobes and nulls of the pattern cf Figs 4 and 5 <br />Illustrate what was described earlier, that the ettect o <br />the earth beneath the antenna is to increase the intensity <br />of radiation at some vertical angles and ^ <br />at others At a height of Vz wavelength (Fig 4 . the <br />radiated energy is strongest at a radiation angle of 3 . <br />an angle wmch was determined earl.er to provide a <br />maximum ettective communications ^ ^ <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 adoitional lobes are formed, and those <br />move closer to the horizon But yet the <br />amplitude of the existing lobes is not ^'m-nished. As <br />may be seen from Fig 5. for an antenna height o <br />1 wavelength, the energy in the lower lobes 's <br />at 15®. And Table 1 indicates that the optimum <br />propagation distance per hop for 15® is ^ <br />Under the very same conditions as befor , P <br />oropagation. one may see that the greatest distance for <br />optimum communication now is 5 x 12^ or ^^00 mijs^ <br />The pattern of Fig 5 represents a 14-MHz ip <br />height of 70 feet. Thus, for the conditions ^ssumedjhe <br />optimum communications distance has been extended <br />from 3250 miles to 6000 miles, merely by raising the