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iOS'ZtZ LAyc«< <br />• • <br />Fig 2 —Behavior of radio waves encountering the ionosphere. Rays entering the ionized region at angles above the <br />critical angle are not bent enough to be returned to earth, and are lost to space. Waves entering at angles below <br />the critical angle reach the earth at increasingly greater distances as the angle approaches the horizontal. The <br />maximum distance that may normally be covered in a single hop is 2500 miles. Greater distances may be covered <br />with multiple hops. <br />to the earth. At successively lower angles, the wave <br />returns to the earth at increasing distances. <br />If the radio wave leaves the earth at a radiation angle <br />of zero degrees, just toward the horizon (or just tangent <br />to the earth’s surface), the maximum distance that may <br />be reached under usual ionospheric conditions is <br />approximately 2500 rules (4000 kilometers). However, <br />the earth itself acts as a reflector of radio waves. Quite <br />often a radio signal will be reflected from the reception <br />point on the earth into the ionosphere again, reaching <br />the earth a second time at a still more distant point. <br />As in the case of light waves, the angle of reflection <br />is the same as the angle of incidence, so a wave striking <br />the surface of the earth at an angle of, say, 15® is <br />reflected upward from the surface at the same angle. <br />Thus, the distance to the second point of reception will <br />be approximately twice the distance of the first. This <br />effect IS also illustrated in Fig 2, where the signal travels <br />from the transmitter at the left of the drawing via the <br />ionosphere to Point A. in the center of the drawing From <br />Point A the signal travels via the ionosphere again to <br />Point B. at the right. Signal travel from the earth through <br />the ionosphere and back to the earth is called a hop. <br />Under some conditions it is possible for as many as four <br />or five signal hops to occur over a radio path, but no more <br />than two or three hops is the norm. In this way. HF <br />communications can be conducted over thousands of <br />miles. <br />With regard to signal hopping, two important points <br />should be recognized. First, a significant loss of signal <br />occurs with each hop. Lower layers of the ionosphere <br />absorb energy from the signals as they pass through, <br />and the lonospfiere fends to scatter the radio energy in <br />various directions, rather than confining it in a tight <br />bundle. The earth also scatters the energy at a rellection <br />point. Thus, only a small fraction of the transmitted <br />energy reaches a distant receiving point. <br />Again refer to Fig 2. Two radio paths (heavy lines) <br />are shown from the transmitter to Point B. a 1-hop path <br />and a 2-hop path. Measurements indicate that although <br />there can be great variation in the ratio of the two signal <br />strengths in a situation such as this, the signal power <br />received at Point B will generally be from five to ten times <br />greater for the 1-hop wave than (or the 2-hop wave. (The <br />terrain at the mid-path reflection point for the 2-hop wave, <br />the angle at which the wave is reflected from the earth, <br />and the condition of the ionosphere in the vicinity of all <br />the refraction points are the primary factors in <br />determining the signal-strength ratio.) Signal levels are <br />generally compared in decibels, abbreviated dB. The <br />decibel is a logarithmic unit. Three decibels difference <br />in signal strengths is equivalent to a power ratio of 2:1 ; <br />a difference of 10 dB equates to a power ratio of 10:1. <br />Thus, the signal loss for an additional hop is about 7 to <br />10 dB. <br />The additional loss per hop becomes significant at <br />greater distances. For a simplified example, a distance <br />of 4000 miles can be covered in 2 hops of 2000 miles <br />each or in four hops of 1000 miles each. For illustration, <br />assume the loss for additional hops is 10 dB. or a 1/10 <br />power ratio. Under such conditions, the 4-hop signal will <br />be received with only 1/100 the power or 20 dB below <br />that received in two hops. The reason for this is that only <br />1/10 of the 2-hop signal is received for the first additional <br />(3rd) hop. and only 1/10 of that 1/10 for the second <br />additional (4th) hop. It is for this reason that no more than <br />four or five propagation hops are useful: the received <br />signal becomes too weak to be heard.