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06-16-1997 Planning Packet
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06-16-1997 Planning Packet
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Table 1—Propagation Distance versus <br />Radiation Angle <br />(Data extracted from Fig 3) <br />500 1000 1500 2000 <br />SlUGLt HOP QlSTANCe <br />I Ml 1 1 »09«>»» I <br />2500 <br />miles <br />Fig 3—Distance plotted against wave angle (one*hop <br />transmission) for the nominal range of virtual heights <br />for the E and F2 layers, and for the FI layer. <br />The second important point to be recognized in <br />multihop propagation is that the trigonometry of the first <br />hop generally establishes the trigonometry for all <br />succeeding hops. And it is the radiation angle at the <br />transmitter which sets up the trigonometry for the first <br />hop. Solving a propagation triangle is simplified with the <br />aid of the graph in Fig 3.' In this graph the radiation angle <br />in degrees is given on the left, and the single-hop <br />distance for the effective layer height along the bottom. <br />Table 1 shows the optimum propagation distance for <br />various radiation angles. The data for this table was read <br />from the graph of Fig 3, based on an assumed F-layer <br />height of 131 miles. <br />From Table 1, if the radiation angle from a given <br />transmitting antenna is concentrated at 30", the first and <br />succeeding hops in radio propagation will span about <br />650 miles each. With a usable maximum limit of five hops <br />under the best of conditions, one can project that <br />the greatest distance for optimum communications for <br />a 30" wave angle is five times 650 miles, or 3250 miles. <br />For effective communications over greater distances, it <br />would be necessary to lower the radiation angle at the <br />transmitter antenna site. As will be discussed shortly, this <br />can be done only by increasing the height of the hori <br />zontal transmitting antenna. <br />Although the discussion in the preceding para <br />graphs has been in terms of a transmitting antenna, the <br />same principles apply when the antenna is used for <br />reception. A high antenna will receive low-angle signals <br />more effectively than will a low antenna. Thp point of <br />these several paragraphs may be summarized briefly: <br />The vertical angle of radiation is the key factor in <br />determining effective communications distances <br />beyond line of sight. <br />Radiation Optimum <br />Angle.Propagation <br />Degrees Distance, .Miles <br />2 2250 <br />4 2100 <br />8 1650 <br />10 1500 <br />15 1200 <br />20 1000 <br />30 650 <br />40 450 <br />Scientists and engineers recognize that modes <br />other than signal hopping account for the propagation <br />of radio waves over thousands of miles. However, <br />studies of actual radio propagation in which the writer <br />has participated have displayed signals with as many as <br />5 hops, so the hopping mode is one distinct possibility.^ <br />Whatever the propagation mode, there is unanimous <br />agreement that the most effective communications at HF <br />most often accompany the lowest radiation angle. <br />Horizontal Antennas <br />A simple antenna that is commonly used for HF <br />communications is the horizontal half-wave dipole. The <br />dipole is a straight length of wire (or tubing) into which <br />radio-frequency energy is fed at the center. Because of <br />its simplicity, the dipole may be easily subjected to <br />theoretical performance analyses. Further«4he results <br />of proper analyses are borne out in practice. For these <br />reasons, the half-wave dipole becomes a convenient <br />performance standard against which other antenna <br />systems can be compared. The dipole antenna, when^ <br />viewed from one end, radiates an equal amount of power . <br />h all directions. <br />Because the earth acts as a reflector for HF radio <br />waves, the directive properties of any antenna are <br />modified considerably by the earth underneath it. If a <br />dipole antenna is placed horizontally above the earth, <br />most of the energy radiated downward from the dipole <br />is reflected upward. The reflected waves combine with <br />the direct waves (those radiated at angles above the <br />horizontal) in various ways, depending on the height of <br />the antenna, the frequency, and the electrical character <br />istics of the ground under and around the antenna. <br />At some vertical angles above the horizon, the direct <br />and reflected waves may be exactly in phase —that is, <br />the maximum signal or field strengths of both waves are <br />reached at the same i.nstant at some distant point. In this <br />’From The ARRL Antenna Book, 14lh edition. Chapter 1, Fig 12. <br />*HF backscatter studies by Ra^heon Company under contract <br />with Rome Air Development Center, Griffiss AFB, NY. A part <br />of this study was done at Raytheon's South Dartmouth, <br />Mass, field site, Jan-Jun, 1960.
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