Practical_Antenna_Handbook_0071639586

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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 37 Direction of travel Surface of earth Ground currents Figure 2.17 Distortion of vertically polarized electric field by lossy ground resistance. cally polarized waves, however, the earth offers electrical resistance to the E-field and returns currents to subsequent waves (Fig. 2.17). The conductivity of the soil determines how much energy is returned. Table 2.1 shows the typical conductivity values for several different forms of soil, as well as saltwater and freshwater. Type of Soil Dielectric Constant Conductivity (Siemens/Meter) Relative Quality Saltwater 81 5 Best Freshwater 80 0.001 Very poor Pastoral hills 14–20 0.03–0.01 Very good Marshy, wooded 12 0.0075 Average/poor Rocky hills 12–14 10 Poor Sandy 10 0.002 Poor Cities 3–5 0.001 Very poor Table 2.1 Sample Soil Conductivity Values The wavefront of a surface wave is tilted because of the losses in the ground that tend to retard the lower end of the wavefront (also shown in Fig. 2.17). The tilt angle is a function of the frequency, as shown in Table 2.2. Frequency (kHz) Tilt Angle Ratio Earth/Seawater (Degrees) 20 207 4.3/0.021 200 104 13.4/0.13 2,000 64 32.3/0.5 20,000 25 35/1.38 Table 2.2 Tilt Angle as a Function of Frequency

38 p a r t I I : F u n d a m e n t a l s Ground-Wave Propagation Frequency Dependence The frequency of a radio signal in large measure determines its surface-wave behavior. In the low-frequency (LF) band (30 to 300 kHz), ground losses are small for vertically polarized signals, so medium-distance communication (up to several hundred miles) is possible. In the medium-wave (MW) band (300 to 3000 kHz, which includes both the AM broadcast band and the 160-m amateur band), distances of a few hundred miles are common. In the high-frequency (HF) band, ground losses are typically greater, so the surface-wave distance reduces drastically. It is possible, in the upper end of the HF band (3000 to 30,000 kHz), for surface-wave signals to die out within a few dozen miles. This phenomenon is often seen in the 15- and 10-m amateur radio bands, as well as the 11-m (27-MHz) citizens band. Stations only 20 mi apart may not be able to communicate, but both can talk to a third station across the continent via ionospheric skip! Tropospheric Propagation The troposphere is the portion of the atmosphere between the surface of the earth and the stratosphere (or about 4 to 7 mi up). Some older texts group tropospheric propaga- Direction of propagation Low dielectric constant (low moisture content) Surface of earth High dielectric constant (high moisture content) A High dielectric constant Direction of propagation Low dielectric constant Surface of earth B Figure 2.18 Refraction in the troposphere.

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 37<br />

Direction of travel<br />

Surface of<br />

earth<br />

Ground currents<br />

Figure 2.17 Distortion of vertically polarized electric field by lossy ground resistance.<br />

cally polarized waves, however, the earth offers electrical resistance to the E-field and<br />

returns currents to subsequent waves (Fig. 2.17). The conductivity of the soil determines<br />

how much energy is returned. Table 2.1 shows the typical conductivity values for<br />

several different forms of soil, as well as saltwater and freshwater.<br />

Type of Soil<br />

Dielectric<br />

Constant<br />

Conductivity<br />

(Siemens/Meter) Relative Quality<br />

Saltwater 81 5 Best<br />

Freshwater 80 0.001 Very poor<br />

Pastoral hills 14–20 0.03–0.01 Very good<br />

Marshy, wooded 12 0.0075 Average/poor<br />

Rocky hills 12–14 10 Poor<br />

Sandy 10 0.002 Poor<br />

Cities 3–5 0.001 Very poor<br />

Table 2.1 Sample Soil Conductivity Values<br />

The wavefront of a surface wave is tilted because of the losses in the ground that<br />

tend to retard the lower end of the wavefront (also shown in Fig. 2.17). The tilt angle is<br />

a function of the frequency, as shown in Table 2.2.<br />

Frequency (kHz) Tilt Angle Ratio<br />

Earth/Seawater<br />

(Degrees)<br />

20 207 4.3/0.021<br />

200 104 13.4/0.13<br />

2,000 64 32.3/0.5<br />

20,000 25 35/1.38<br />

Table 2.2 Tilt Angle as a Function of Frequency

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