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C h a p t e r 2 : r a d i o - W a v e P r o p a g a t i o n 61<br />

employed and from which layers the reflections (or refractions, to be precise) probably<br />

occurred. Although it might seem obvious (especially for distances under 2500 mi) that<br />

fewer hops are better than more hops, in fact there are some tradeoffs to be considered.<br />

High-angle waves travel through less of the ionosphere during the process of refraction,<br />

so the path loss per reflection in the ionosphere is often less for a high-angle wave.<br />

Under normal conditions, the ground reflection loss is large enough to favor takeoff<br />

angles leading to fewer hops, but if the path is almost totally over saltwater, that may<br />

not be so true—especially if the ionosphere is disturbed (as indicated by higher A- and<br />

K-values).<br />

Another factor in determining which takeoff angle will result in the strongest received<br />

signal is the relationship between the operating frequency and the MUF at all<br />

points along the path between the transmitter and the receiver. The emphasis is added<br />

because the MUF at any given instant varies with geographical location. For two sites<br />

located 2500 mi or less from each other, the simplest mode is one-hop. For the ionosphere<br />

to support single-hop propagation between those two sites, the MUF at the midpoint<br />

of the path, 1250 mi or less from the transmit site, must be greater than the<br />

operating frequency. The MUF at either end of the path is not the parameter of interest<br />

for single-hop propagation, since the only region where the radio wave is in contact<br />

with the ionosphere is near the midpoint of the path. As a general rule, the MUF is highest<br />

where average temperatures are highest—namely, in the equatorial regions—so<br />

higher-frequency communication is often possible on transequatorial paths when polar<br />

paths and midlatitude east-west paths are nonexistent.<br />

For distances greater than 2500 mi, or for those occasions when the height of the F<br />

layer is lower than normal, multihop propagation will normally be required. For the<br />

two-hop path of Fig. 2.33, there are two MUFs that control whether the transmitted signal<br />

is heard at the receive site. Both MUFs must be greater than the operating frequency;<br />

if either one drops below it, the path will fail. If the sketch in Fig. 2.33 represents a transatlantic<br />

20-m path in the northern hemisphere, most likely the MUF on the right side of<br />

the page (closer to Europe) will fail first, since the sun sets over the eastern Atlantic at<br />

least two or three hours before it does so on the western side.<br />

As additional propagation modes, employing increasing numbers of hops, are analyzed,<br />

increasing numbers of MUF locations (often called MUF control points) must be<br />

examined. These additional modes cause the software to calculate predicted MUFs for<br />

a series of locations between the transmitter and the receiver. Hence, the previous statement<br />

that it is necessary to know the MUF “at all points along the path”.<br />

The specifics of the transmitting and receiving antenna installations also play a role<br />

in determining how many hops may provide the best signal over a given path. For<br />

ionospheric propagation paths (i.e., frequencies up through the lower VHF range), both<br />

the antenna itself and its height above local ground contribute to determining the relative<br />

amounts of energy radiated at each possible takeoff angle or received at each possible<br />

arrival angle. An antenna such as a ground-mounted vertical monopole has good<br />

low-angle radiation and minimal high-angle radiation. Although an infinite number of<br />

simultaneous propagation modes may exist between the two sites, the relatively strong<br />

low-angle radiation from the vertical will tend to make modes with the minimum number<br />

of hops the most probable paths to success.<br />

In contrast, a horizontal dipole suspended l/8 above ground will send most of its<br />

radiated energy nearly straight up, thus favoring multihop modes employing relatively<br />

high takeoff and arrival angles.

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