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20 p a r t I I : F u n d a m e n t a l s<br />

water, which is much denser than air, the speed of radio signals is about one-ninth that<br />

of the free-space speed. (Contrast this with sound waves, which travel almost four<br />

times faster in water than in air!) This same phenomenon shows up in the basis for the<br />

velocity factor (v F ) of transmission lines. In foam dielectric coaxial cable, for example, the<br />

value of v F is 0.80, which means a signal propagates along the line at a speed of 0.80c, or<br />

80 percent of the speed of light.<br />

The Earth’s Atmosphere<br />

Electromagnetic waves do not need an atmosphere in order to propagate, as Marconi<br />

and his contemporaries would have immediately realized if they could have witnessed<br />

today’s data communications between NASA’s ground stations and their interplanetary<br />

probes in the near vacuum of outer space. But when a radio wave does propagate<br />

in the earth’s atmosphere, it interacts with it. In general, the radio wave will be subject<br />

to three potential effects as a result:<br />

• It will suffer increased attenuation (relative to normal free-space path loss over<br />

a comparable distance).<br />

• Its path may be bent or redirected.<br />

• Its polarization may be altered.<br />

All of these effects vary with frequency. In addition, different regions of the atmosphere,<br />

which consists largely of oxygen (O 2 ) and nitrogen (N) gases, play differing roles:<br />

The atmosphere (Fig. 2.7) consists of three major regions: troposphere, stratosphere,<br />

and ionosphere. The boundaries between these regions are not very well defined, and<br />

they change both diurnally (over the course of a day) and seasonally. Keep in mind, also,<br />

that the distinctions between these regions are a matter of definition of gas densities<br />

and behaviors by groups of scientists, not the result of some fundamentally profound<br />

differences in the gases that inhabit each.<br />

The troposphere occupies the space closest to the earth’s surface, extending upward<br />

to an altitude of 6 to 11 km (4 to 7 mi—roughly the cruising altitude of most jet airliners).<br />

The temperature of the air in the troposphere varies with altitude, becoming considerably<br />

lower than temperatures at the earth’s surface as altitude increases. For<br />

example, a +10°C surface temperature could exist simultaneously with –55°C at the<br />

upper edges of the troposphere.<br />

The stratosphere begins at the upper boundary of the troposphere (6 to 11 km) and<br />

continues upward to the beginning of the ionosphere (≈50 km). The stratosphere is<br />

called an isothermal region because the temperature in this region is relatively constant<br />

across a wide range of altitudes.<br />

The ionosphere occupies the region between altitudes of about 50 km (31 mi) and<br />

300 km (186 mi). It is a region of very low gas density because it is the portion of our<br />

atmosphere where the earth’s gravity has the least “pull” on individual molecules. Beyond<br />

the ionosphere, our gravity system is so weak that any air molecules that stray<br />

there ultimately drift off into space, never to be seen again.<br />

Of particular interest to our study of high-frequency propagation is the fact that a<br />

mixture of cosmic rays, electromagnetic radiation (including ultraviolet light from the<br />

sun), and atomic particle radiation from space (most of these from the sun also)—all<br />

impinging on the outermost edges of our atmosphere—has sufficient energy to strip

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