Module 10—Introduction to Wave Propagation, Transmission Lines, and Antennas
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RADIO WAVE PROPAGATION
Upon completion of this unit, you should be able to:
1. State what the electromagnetic field is
and what components make up the electromagnetic field.
2. State the difference between the induction
field and the radiation field.
3. State what radio waves are.
4. List the components of a radio wave and define the terms cycle, frequency, harmonics, period, wavelength, and
velocity as applied to radio wave propagation.
5. Compute the wavelength of radio waves.
6. State how radio waves are polarized, vertically and horizontally.
7. State what reflection,
refraction, and diffraction are as applied to radio waves.
8. State what influence the Earth's
atmosphere has on radio waves and list the different layers of the Earth's atmosphere.
9. Identify a ground wave, a sky wave, and state the effects of the ionosphere on the sky wave.
10. Identify the structure of the ionosphere.
11. Define density of layer, frequency, angle of
incidence, skip distance, and skip zone.
12. Describe propagation paths.
13. Describe fading, multipath fading, and selective fading. Describe propagation paths.
14. State how transmission losses affect radio wave propagation.
15. State how electromagnetic
interference, man-made/natural interference, and ionospheric disturbances affect radio wave propagation. State how
transmission losses affect radio wave propagation.
16. Identify variations in the ionosphere.
17. Identify the maximum, optimum, and lowest usable frequencies of radio waves.
18. State what temperature inversion is, how frequency predictions are made, and how weather affects frequency.
19. State what tropospheric scatter is and how it affects radio wave propagation.
The way energy is propagated into free space is a source of great dispute among people concerned with it.
Although many theories have been proposed, the following theory adequately explains the phenomena and has been
widely accepted. There are two basic fields associated with every antenna; an INDUCTION FIELD and a RADIATION
FIELD. The field associated with the energy stored in the antenna is the induction field. This field is said to
provide no part in the transmission of electromagnetic energy through free space. However, without the presence of
the induction field, there would be no energy radiated. INDUCTION FIELD
2-1, a low-frequency generator connected to an antenna, will help you understand how the induction field is
produced. Let's follow the generator through one cycle of operation.
Figure 2-1.—Induction field about an antenna.
Initially, you can consider that the generator output is zero and that no fields exist about the
antenna, as shown in view A. Now assume that the generator produces a slight potential and has the instantaneous
polarity shown in view B. Because of this slight potential, the antenna capacitance acts as a short, allowing a
large flow of current (I) through the antenna in the direction shown. This current flow, in turn, produces a large
magnetic field about the antenna. Since the flow of current at each end of the antenna is minimum, the
corresponding magnetic fields at each end of the antenna are also minimum. As time passes, charges, which oppose
antenna current and produce an electrostatic field (E field), collect at each end of the antenna. Eventually, the
antenna capacitance becomes fully charged and stops current flow through the antenna. Under this condition, the
electrostatic field is maximum, and the magnetic field (H field) is fully collapsed, as shown in view C.
As the generator potential decreases back to zero, the potential of the antenna begins to discharge. During the
discharging process, the electrostatic field collapses and the direction of current flow reverses, as shown in
view D. When the current again begins to flow, an associated magnetic field is generated. Eventually, the
electrostatic field completely collapses, the generator potential reverses, and current is maximum, as shown in
view E. As charges collect at each end of the antenna, an electrostatic field is produced and current flow
decreases. This causes the magnetic field to begin collapsing. The collapsing magnetic field produces more current
flow, a greater accumulation of charge, and a greater electrostatic field. The antenna gradually reaches the
condition shown in view F, where current is zero and the collected charges are maximum.
As the generator potential again decreases toward zero, the antenna begins to discharge and the electrostatic
field begins to collapse. When the generator potential reaches zero, discharge current is maximum and the
associated magnetic field is maximum. A brief time later, generator potential reverses, and the condition shown in
view B recurs.
: The electric field (E field) and the electrostatic field (E field) are the same. They will
be used interchangeably throughout this text.
The graph shown in figure 2-2 shows the relationship between
the magnetic (H) field and the electric (E) field plotted against time. Note that the two fields are 90 degrees
out of phase with each other. If you compare the graph in figure 2-2 with figure 2-1, you will notice that the two
fields around the antenna are displaced 90 degrees from each other in space. (The H field exists in a plane
perpendicular to the antenna. The E field exists in a plane parallel with the antenna, as shown in figure 2-1.)
Figure 2-2.—Phase relationship of induction field components.
All the energy supplied to the induction field is returned to the antenna by the collapsing E and H fields. No
energy from the induction field is radiated from the antenna. Therefore, the induction field is considered a local
field and plays no part in the transmission of electromagnetic energy. The induction field represents only the
stored energy in the antenna and is responsible only for the resonant effects that the antenna reflects to the
The E and H fields that are set up in the transfer of energy through
space are known collectively as the radiation field. This radiation field is responsible for electromagnetic
radiation from the antenna. The radiation field decreases as the distance from the antenna is increased. Because
the decrease is linear, the radiation field reaches great distances from the antenna.
Let's look at a
half-wave antenna to illustrate how this radiation actually takes place. Simply stated, a half-wave antenna is one
that has an electrical length equal to half the wavelength of the signal being transmitted. Assume, for example,
that a transmitter is operating at 30 megahertz. If a half-wave antenna
is used with the transmitter, the
antenna's electrical length would have to be at least 16 feet long. (The formula used to compute the electrical
length of an antenna will be explained in chapter 4.) When power
is delivered to the half-wave antenna, both an
induction field and a radiation field are set up by the fluctuating energy. At the antenna, the intensities of
these fields are proportional to the amount of power delivered to the antenna from a source such as a transmitter.
At a short distance from the antenna and beyond, only the radiation field exists. This radiation field is made up
of an electric component and a magnetic component at right angles to each other in space and varying together in
With a high-frequency generator (a transmitter) connected to the antenna, the induction field
is produced as described in the previous section. However, the generator potential reverses before the
electrostatic field has had time to collapse completely. The reversed generator potential neutralizes the
remaining antenna charges, leaving a resultant E field in space.
Figure 2-3 is a simple picture of an E field detaching itself from an antenna. (The H field will not be
considered, although it is present.) In view A the voltage is maximum and the electric field has maximum
intensity. The lines of force begin at the end of the antenna that is positively charged and extend to the end of
the antenna that is negatively charged. Note that the outer E lines are stretched away from the inner lines. This
is because of the repelling force that takes place between lines of force in the same direction. As the voltage
drops (view B), the separated charges come together, and the ends of the lines move toward the center of the
antenna. But, since lines of force in the same direction repel each other, the centers of the lines are still
being held out.
Figure 2-3.—Radiation from an antenna.
As the voltage approaches zero (view B), some of the lines collapse back into the antenna. At the same
time, the ends of other lines begin to come together to form a complete loop. Notice the direction of these lines
of force next to the antenna in view C. At this point the voltage on the antenna is zero. As the charge starts to
build up in the opposite direction (view D), electric lines of force again begin at the positive end of the
antenna and stretch to the negative end of the antenna. These lines of force, being in the same direction as the
sides of the closed loops next to the antenna, repel the closed loops and force them out into space at the speed
of light. As these loops travel through space, they generate a magnetic field in phase with them.
each successive E field is generated with a polarity that is opposite the preceding E field (that is, the lines of
force are opposite), an oscillating electric field is produced along the path of travel. When an electric field
oscillates, a magnetic field having an intensity that varies directly with that of the E field is produced. The
variations in magnetic field intensity, in turn, produce another E field. Thus, the two varying fields sustain
each other, resulting in electromagnetic wave propagation.
During this radiation process, the E and H
fields are in phase in time but physically displaced 90 degrees in space. Thus, the varying magnetic field
produces a varying electric field; and the varying electric field, in turn, sustains the varying magnetic field.
Each field supports the other, and neither can be propagated by itself. Figure 2-4 shows a comparison between the
induction field and the radiation field.
Figure 2-4.—E and H components of induction and radiation fields.
Q1. Which two composite fields (composed of E and H fields) are associated with every antenna?
Q2. What composite field (composed of E and H fields) is found stored in the antenna?
composite field (composed of E and H fields) is propagated into free space?
An energy wave generated by a transmitter is called a RADIO WAVE. The radio wave radiated into space by
the transmitting antenna is a very complex form of energy containing both electric and magnetic fields. Because of
this combination of fields, radio waves are also referred to as ELECTROMAGNETIC RADIATION.
will explain the Earth's atmosphere and its effect on radio waves. All the principles of wave motion that were
discussed in chapter 1 also apply to radio waves. NOTE
: The term radio wave is not
limited to communications equipment alone. The term applies to all equipment that generate signals in the form of
electromagnetic energy. COMPONENTS OF RADIO WAVES
The basic shape of the wave
generated by a transmitter is that of a sine wave. The wave radiated out into space, however, may or may not
retain the characteristics of the sine wave.
A sine wave can be one cycle or many cycles. Recall from chapter 1 that the number of cycles of a sine
wave that are completed in 1 second is known as the frequency of the sine wave. For example, 60 cycles of ordinary
house current occur each second, so house current is said to have a frequency of 60 cycles per second or 60 hertz.
The frequencies falling between 3000 hertz (3 kHz) and 300,000,000,000 hertz (300 GHz) are called RADIO
FREQUENCIES (abbreviated RF) since they are commonly used in radio communications. This part of the radio
frequency spectrum is divided into bands, each band being 10 times higher in frequency than the one immediately
below it. This arrangement serves as a convenient way to remember the range of each band. The RF bands are shown
in table 2-1. The usable radio-frequency range is roughly 10 kilohertz to 100 gigahertz.
Table 2-1.—Radio Frequency Bands
Any frequency that is a whole number multiple of a smaller basic frequency is known as a HARMONIC of that
basic frequency. The basic frequency itself is called the first harmonic or, more commonly, the FUNDAMENTAL
FREQUENCY. A frequency that is twice as great as the fundamental frequency is called the second harmonic; a
frequency three times as great is the third harmonic; and so on. For example:
harmonic (Fundamental frequency) 3000 kHz Second
6000 kHz Third
The PERIOD of a radio wave is simply the amount of time required for the completion of one full cycle. If
a sine wave has a frequency of 2 hertz, each cycle has a duration, or period, of one-half second. If the frequency
is 10 hertz, the period of each cycle is one-tenth of a second. Since the frequency of a radio wave is the number
of cycles that are completed in one second, you should be able to see that as the
frequency of a radio wave
increases, its period decreases.
A wavelength is the space occupied by one full cycle of a radio wave at
any given instant. Wavelengths are expressed in meters (1 meter is equal to 3.28 feet). You need to have a good
understanding of frequency and wavelength to be able to select the proper antenna(s) for use in successful
communications. The relationship between frequency, wavelength, and antennas will be discussed in
chapter 4 of this module.
The velocity (or speed) of a radio wave radiated into free space by a
transmitting antenna is equal to the speed of light—186,000 miles per second or 300,000,000 meters per second.
Because of various factors, such as barometric pressure, humidity, molecular content, etc., radio waves travel
inside the Earth's atmosphere at a speed slightly less than the speed of light. Normally, in discussions of the
velocity of radio waves, the velocity referred to is the speed at which radio waves travel in free space.
The frequency of a radio wave has nothing to do with its velocity. A 5-megahertz wave travels through space at the
same velocity as a 10-megahertz wave. However, the velocity of radio waves is an important factor in making
wavelength-to-frequency conversions, the subject of our next discussion.
Q4. What is the term used to
describe the basic frequency of a radio wave?
Q5. What is the term used to describe a whole number
multiple of the basic frequency of a radio wave? WAVELENGTH-TO-FREQUENCY CONVERSIONS
Radio waves are often referred to by their wavelength in meters rather than by frequency. For example, most people
have heard commercial radio stations make announcements similar to the following: "Station WXYZ operating on 240
meters..." To tune receiving equipment that is calibrated by frequency to such a station, you must first convert
the designated wavelength to its equivalent frequency.
As discussed earlier, a radio wave travels
300,000,000 meters a second (speed of light); therefore, a radio wave of 1 hertz would have traveled a distance
(or wavelength) of 300,000,000 meters. Obviously then, if the frequency of the wave is increased to 2 hertz, the
wavelength will be cut in half to 150,000,000 meters. This illustrates the principle that the HIGHER THE
FREQUENCY, the SHORTER THE WAVELENGTH.
Wavelength-to-frequency conversions of radio waves are really quite simple because wavelength and frequency are
reciprocals: Either one divided into the velocity of a radio wave yields the other. Remember, the formula for
The wavelength in meters divided into 300,000,000 yields the frequency of a radio
wave in hertz
. Likewise, the wavelength divided into 300,000 yields the frequency of
a radio wave in kilohertz
, and the wavelength divided into 300 yields the frequency in megahertz.
Now, let us apply the formula to determine the frequency to which the receiving equipment must be
tuned to receive station WXYZ operating on 240 meters. Radio wave frequencies are normally expressed in kilohertz
To find the frequency in hertz, use the formula:
To find the frequency in kilohertz, use the formula:
To find the frequency in megahertz, use the formula:
Q6. It is known that WWV operates on a frequency of 10 megahertz. What is the wavelength of WWV?
Q7. A station is known to operate at 60-meters. What is the frequency of the unknown station?
For maximum absorption of energy from the electromagnetic fields, the
receiving antenna must be located in the plane of polarization. This places the conductor of the antenna at right
angles to the magnetic lines of force moving through the antenna and parallel to the electric lines, causing
Normally, the plane of polarization of a radio wave is the plane in which the E field
propagates with respect to the Earth. If the E field component of the radiated wave travels in a plane
perpendicular to the Earth's surface (vertical), the radiation is said to be VERTICALLY POLARIZED, as shown in
figure 2-5, view A. If the E field propagates in a plane parallel to the Earth's surface (horizontal), the
radiation is said to be HORIZONTALLY POLARIZED, as shown in view B.
Figure 2-5.—Vertical and horizontal polarization.
The position of the antenna in space is important because it affects the polarization of the
electromagnetic wave. When the transmitting antenna is close to the ground, vertically polarized waves cause a
greater signal strength along the Earth's surface. On the other hand, antennas high above the ground should be
horizontally polarized to get the greatest possible signal strength to the Earth's surface. Vertically and
horizontally polarized antennas will be discussed in more detail in chapter 4.
The radiated energy from an
antenna is in the form of an expanding sphere. Any small section of this sphere is perpendicular to the direction
the energy travels and is called a WAVEFRONT. All energy on a wavefront is in phase. Usually all points on the
wavefront are at equal distances from the antenna. The farther the wavefront is from the antenna, the less
spherical the wave appears. At a considerable distance the wavefront can be considered as a plane surface at a
right angle to the direction of propagation.
Introduction to Matter, Energy, and Direct Current,
to Alternating Current and Transformers, Introduction to Circuit Protection,
Control, and Measurement
, Introduction to Electrical Conductors, Wiring Techniques,
and Schematic Reading
, Introduction to Generators and Motors
Introduction to Electronic Emission, Tubes, and Power Supplies,
Introduction to Solid-State Devices and Power Supplies
Introduction to Amplifiers, Introduction to
Wave-Generation and Wave-Shaping Circuits
, Introduction to Wave Propagation, Transmission
Lines, and Antennas
, Microwave Principles,
, Introduction to Number Systems and Logic Circuits, Introduction
to Microelectronics, Principles of Synchros, Servos, and Gyros
Introduction to Test Equipment
, Radar Principles,
The Technician's Handbook,
Master Glossary, Test Methods and Practices,
Introduction to Digital Computers,
Magnetic Recording, Introduction to Fiber Optics