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CHAPTER 10
RADIO WAVES
ELECTROMAGNETIC WAVE PROPAGATION
1000. Source of Radio Waves
at zero, increases to a maximum as the rotor completes one
quarter of its revolution, and falls to zero when the rotor
completes one half of its revolution. The current then
approaches a negative maximum; then it once again returns
to zero. This cycle can be represented by a sine function.
The relationship between the current and the magnetic
field strength induced in the conductor through which the
current is flowing is shown in Figure 1001 . Recall from the
discussion above that this field strength is proportional to the
magnitude of the current; that is, if the current is represented
by a sine wave function, then so too will be the magnetic field
strength resulting from that current. This characteristic shape
of the field strength curve has led to the use of the term
“wave” when referring to electromagnetic propagation. The
maximum displacement of a peak from zero is called the
amplitude . The forward side of any wave is called the wave
front . For a non-directional antenna, each wave proceeds
outward as an expanding sphere (or hemisphere).
One cycle is a complete sequence of values, as from crest
to crest. The distance traveled by the energy during one cycle
is the wavelength , usually expressed in metric units (meters,
centimeters, etc.). The number of cycles repeated during unit
time (usually 1 second) is the frequency . This is given in hertz
(cycles per second). A kilohertz (kHz) is 1,000 cycles per
second. A megahertz (MHz) is 1,000,000 cycles per second.
Wavelength and frequency are inversely proportional.
The phase of a wave is the amount by which the cycle
Consider electric current as a flow of electrons along a
conductor between points of differing potential. A direct
current flows continuously in the same direction. This would
occur if the polarity of the electromotive force causing the
electron flow were constant, such as is the case with a battery.
If, however, the current is induced by the relative motion
between a conductor and a magnetic field, such as is the case
in a rotating machine called a generator , then the resulting
current changes direction in the conductor as the polarity of the
electromotive force changes with the rotation of the
generator’s rotor. This is known as alternating current .
The energy of the current flowing through the
conductor is either dissipated as heat (an energy loss
proportional to both the current flowing through the
conductor and the conductor’s resistance) or stored in an
electromagnetic field oriented symmetrically about the
conductor. The orientation of this field is a function of the
polarity of the source producing the current. When the
current is removed from the wire, this electromagnetic field
will, after a finite time, collapse back into the wire.
What would occur should the polarity of the current
source supplying the wire be reversed at a rate which
exceeds the finite amount of time required for the electro-
magnetic field to collapse back upon the wire? In this case,
another magnetic field, proportional in strength but exactly
opposite in magnetic orientation to the initial field, will be
formed upon the wire. The initial magnetic field, its current
source gone, cannot collapse back upon the wire because of
the existence of this second electromagnetic field. Instead,
it propagates out into space. This is the basic principle of a
radio antenna, which transmits a wave at a frequency
proportional to the rate of pole reversal and at a speed equal
to the speed of light.
1001. Radio Wave Terminology
The magnetic field strength in the vicinity of a
conductor is directly proportional to the magnitude of the
current flowing through the conductor. Recall the
discussion of alternating current above. A rotating
generator produces current in the form of a sine wave. That
is, the magnitude of the current varies as a function of the
relative position of the rotating conductor and the stationary
magnetic field used to induce the current. The current starts
Figure 1001. Radio wave terminology.
151
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RADIO WAVES
. Generally, the origin is not important,
principal interest being the phase relative to that of some
other wave. Thus, two waves having crests 1/4 cycle apart
are said to be 90
°
gamma rays, and cosmic rays. These are included in Table
1002. Waves shorter than 30 centimeters are usually called
microwaves .
Within the frequencies from 1-40 gHz (1,000-40,000
MHz), additional bands are defined as follows:
“out of phase.” If the crest of one wave
occurs at the trough of another, the two are 180
°
°
out of
L-band: 1-2 gHz (1,000-2,000 MHz)
S-band: 2-4 gHz (2,000-4,000 MHz
C-band: 4-8 gHz (4,000-8,000 MHz)
X-band: 8-12.5 gHz (8,000-12,500 MHz)
Lower K-band: 12.5-18 gHz (12,500-18,000 MHz)
Upper K-band: 26.5-40 gHz (26,500-40,000 MHz)
phase.
1002. The Electromagnetic Spectrum
The entire range of electromagnetic radiation frequen-
cies is called the electromagnetic spectrum . The
frequency range suitable for radio transmission, the radio
spectrum , extends from 10 kilohertz to 300,000 mega-
hertz. It is divided into a number of bands, as shown in
Below the radio spectrum, but overlapping it, is the au-
dio frequency band, extending from 20 to 20,000 hertz.
Above the radio spectrum are heat and infrared, the visible
spectrum (light in its various colors), ultraviolet, X-rays,
Marine radar systems commonly operate in the S and
X bands, while satellite navigation system signals are found
in the L-band.
The break of the K-band into lower and upper ranges is
necessary because the resonant frequency of water vapor
occurs in the middle region of this band, and severe absorp-
tion of radio waves occurs in this part of the spectrum.
Band
Abbreviation
Range of frequency
Range of wavelength
Audio frequency
AF
20 to 20,000 Hz
15,000,000 to 15,000 m
Radio frequency
RF
10 kHz to 300,000 MHz
30,000 m to 0.1 cm
Very low frequency
VLF
10 to 30 kHz
30,000 to 10,000 m
Low frequency
LF
30 to 300 kHz
10,000 to 1,000 m
Medium frequency
MF
300 to 3,000 kHz
1,000 to 100 m
High frequency
HF
3 to 30 MHz
100 to 10 m
Very high frequency
VHF
30 to 300 MHz
10 to 1 m
Ultra high frequency
UHF
300 to 3,000 MHz
100 to 10 cm
Super high frequency
SHF
3,000 to 30,000 MHz
10 to 1 cm
Extremely high
frequency
EHF
30,000 to 300,000 MHz
1 to 0.1 cm
Heat and infrared*
10 6 to 3.9
´
10 8 MHz
0.03 to 7.6
´
10 -5 cm
Visible spectrum*
3.9
´
10 8 to 7.9
´
10 8 MHz 7.6
´
10 -5 to 3.8
´
10 -5 cm
Ultraviolet*
7.9
´
10 8 to 2.3
´
10 10 MHz 3.8
´
10 -5 to 1.3
´
10 -6 cm
X-rays*
2.0
´
10 9 to 3.0
´
10 13 MHz 1.5
´
10 -5 to 1.0
´
10 -9 cm
Gamma rays*
2.3
´
10 12 to 3.0
´
10 14 MHz 1.3
´
10 -8 to 1.0
´
10 -10 cm
Cosmic rays*
>4.8
´
10 15 MHz
<6.2
´
10 -12 cm
* Values approximate.
Table 1002. Electromagnetic spectrum.
has progressed from a specified origin. For most purposes it
is stated in circular measure, a complete cycle being
considered 360
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RADIO WAVES
153
1003. Polarization
frequencies, but becomes more prevalent as frequency
increases. In radio communication, it can be reduced by
using directional antennas, but this solution is not always
available for navigational systems.
Various reflecting surfaces occur in the atmosphere. At
high frequencies, reflections take place from rain. At still
higher frequencies, reflections are possible from clouds,
particularly rain clouds. Reflections may even occur at a
sharply defined boundary surface between air masses, as
when warm, moist air flows over cold, dry air. When such a
surface is roughly parallel to the surface of the Earth, radio
waves may travel for greater distances than normal The
principal source of reflection in the atmosphere is the
ionosphere.
Radio waves produce both electric and magnetic fields.
The direction of the electric component of the field is called
the polarization of the electromagnetic field. Thus, if the
electric component is vertical, the wave is said to be
“vertically polarized,” and if horizontal, “horizontally
polarized.”
A wave traveling through space may be polarized in
any direction. One traveling along the surface of the Earth is
always vertically polarized because the Earth, a conductor,
short-circuits any horizontal component. The magnetic field
and the electric field are always mutually perpendicular.
1004. Reflection
1005. Refraction
When radio waves strike a surface, the surface reflects
them in the same manner as light waves. Radio waves of all
frequencies are reflected by the surface of the Earth. The
strength of the reflected wave depends upon angle of
incidence (the angle between the incident ray and the
horizontal), type of polarization, frequency, reflecting
properties of the surface, and divergence of the reflected
ray. Lower frequencies penetrate the earth’s surface more
than higher ones. At very low frequencies, usable radio
signals can be received some distance below the surface of
the sea.
A phase change occurs when a wave is reflected from
the surface of the Earth. The amount of the change varies
with the conductivity of the Earth and the polarization of
the wave, reaching a maximum of 180
°
Refraction of radio waves is similar to that of light
waves. Thus, as a signal passes from air of one density to
that of a different density, the direction of travel is altered.
The principal cause of refraction in the atmosphere is the
difference in temperature and pressure occurring at various
heights and in different air masses.
Refraction occurs at all frequencies, but below 30 MHz
the effect is small as compared with ionospheric effects,
diffraction, and absorption. At higher frequencies,
refraction in the lower layer of the atmosphere extends the
radio horizon to a distance about 15 percent greater than the
visible horizon. The effect is the same as if the radius of the
Earth were about one-third greater than it is and there were
no refraction.
Sometimes the lower portion of the atmosphere
becomes stratified. This stratification results in nonstandard
temperature and moisture changes with height. If there is a
marked temperature inversion or a sharp decrease in water
vapor content with increased height, a horizontal radio duct
may be formed. High frequency radio waves traveling
horizontally within the duct are refracted to such an extent
that they remain within the duct, following the curvature of
the Earth for phenomenal distances. This is called super-
refraction . Maximum results are obtained when both
transmitting and receiving antennas are within the duct.
There is a lower limit to the frequency affected by ducts. It
varies from about 200 MHz to more than 1,000 MHz.
At night, surface ducts may occur over land due to
cooling of the surface. At sea, surface ducts about 50 feet
thick may occur at any time in the trade wind belt. Surface
ducts 100 feet or more in thickness may extend from land
out to sea when warm air from the land flows over the
cooler ocean surface. Elevated ducts from a few feet to
more than 1,000 feet in thickness may occur at elevations of
1,000 to 5,000 feet, due to the settling of a large air mass.
This is a frequent occurrence in Southern California and
certain areas of the Pacific Ocean.
A bending in the horizontal plane occurs when a
groundwave crosses a coast at an oblique angle. This is due
°
and the two signals have the same amplitude. This interac-
tion of waves is called wave interference .
A phase difference may occur because of the change of
phase of a reflected wave, or because of the longer path it
follows. The second effect decreases with greater distance
between transmitter and receiver, for under these condi-
tions the difference in path lengths is smaller.
At lower frequencies there is no practical solution to
interference caused in this way. For VHF and higher fre-
quencies, the condition can be improved by elevating the
antenna, if the wave is vertically polarized. Additionally,
interference at higher frequencies can be more nearly elim-
inated because of the greater ease of beaming the signal to
avoid reflection.
Reflections may also occur from mountains, trees, and
other obstacles. Such reflection is negligible for lower
for a horizontally
polarized wave reflected from sea water (considered to
have infinite conductivity).
When direct waves (those traveling from transmitter to
receiver in a relatively straight line, without reflection) and
reflected waves arrive at a receiver, the total signal is the
vector sum of the two. If the signals are in phase, they rein-
force each other, producing a stronger signal. If there is a
phase difference, the signals tend to cancel each other, the
cancellation being complete if the phase difference is 180
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RADIO WAVES
to a marked difference in the conducting and reflecting
properties of the land and water over which the wave travels.
The effect is known as coastal refraction or land effect .
reflection of LF and VLF waves during daylight.
1007. The Ionosphere and Radio Waves
1006. The Ionosphere
When a radio wave encounters a particle having an
electric charge, it causes that particle to vibrate. The
vibrating particle absorbs electromagnetic energy from the
radio wave and radiates it. The net effect is a change of
polarization and an alteration of the path of the wave. That
portion of the wave in a more highly ionized region travels
faster, causing the wave front to tilt and the wave to be
directed toward a region of less intense ionization.
Refer to Figure 1007a, in which a single layer of the
ionosphere is considered. Ray 1 enters the ionosphere at
such an angle that its path is altered, but it passes through
and proceeds outward into space. As the angle with the
horizontal decreases, a critical value is reached where ray 2
is bent or reflected back toward the Earth. As the angle is
still further decreased, such as at 3, the return to Earth
occurs at a greater distance from the transmitter.
A wave reaching a receiver by way of the ionosphere
is called a skywave . This expression is also appropriately
applied to a wave reflected from an air mass boundary. In
common usage, however, it is generally associated with the
ionosphere. The wave which travels along the surface of the
Earth is called a groundwave . At angles greater than the
critical angle, no skywave signal is received. Therefore,
there is a minimum distance from the transmitter at which
skywaves can be received. This is called the skip distance ,
shown in Figure 1007a . If the groundwave extends out for
less distance than the skip distance, a skip zone occurs, in
which no signal is received.
The critical radiation angle depends upon the intensity
of ionization, and the frequency of the radio wave. As the
frequency increases, the angle becomes smaller. At fre-
quencies greater than about 30 MHz virtually all of the
energy penetrates through or is absorbed by the ionosphere.
Therefore, at any given receiver there is a maximum usable
frequency if skywaves are to be utilized. The strongest sig-
nals are received at or slightly below this frequency. There
is also a lower practical frequency beyond which signals are
too weak to be of value. Within this band the optimum fre-
quency can be selected to give best results. It cannot be too
near the maximum usable frequency because this frequency
fluctuates with changes of intensity within the ionosphere.
During magnetic storms the ionosphere density decreases.
The maximum usable frequency decreases, and the lower
usable frequency increases. The band of usable frequencies
is thus narrowed. Under extreme conditions it may be com-
pletely eliminated, isolating the receiver and causing a
radio blackout.
Skywave signals reaching a given receiver may arrive
by any of several paths, as shown in Figure 1007b . A signal
which undergoes a single reflection is called a “one-hop”
signal, one which undergoes two reflections with a ground
reflection between is called a “two-hop” signal, etc. A
Since an atom normally has an equal number of
negatively charged electrons and positively charged
protons, it is electrically neutral. An ion is an atom or group
of atoms which has become electrically charged, either
positively or negatively, by the loss or gain of one or more
electrons.
Loss of electrons may occur in a variety of ways. In the
atmosphere, ions are usually formed by collision of atoms
with rapidly moving particles, or by the action of cosmic
rays or ultraviolet light. In the lower portion of the
atmosphere, recombination soon occurs, leaving a small
percentage of ions. In thin atmosphere far above the surface
of the Earth, however, atoms are widely separated and a
large number of ions may be present. The region of
numerous positive and negative ions and unattached
electrons is called the ionosphere . The extent of ionization
depends upon the kinds of atoms present in the atmosphere,
the density of the atmosphere, and the position relative to
the Sun (time of day and season). After sunset, ions and
electrons recombine faster than they are separated,
decreasing the ionization of the atmosphere.
An electron can be separated from its atom only by the
application of greater energy than that holding the electron.
Since the energy of the electron depends primarily upon the
kind of an atom of which it is a part, and its position relative
to the nucleus of that atom, different kinds of radiation may
cause ionization of different substances.
In the outermost regions of the atmosphere, the density
is so low that oxygen exists largely as separate atoms, rather
than combining as molecules as it does nearer the surface of
the Earth. At great heights the energy level is low and
ionization from solar radiation is intense. This is known as
the F layer . Above this level the ionization decreases
because of the lack of atoms to be ionized. Below this level
it decreases because the ionizing agent of appropriate
energy has already been absorbed. During daylight, two
levels of maximum F ionization can be detected, the F 2
layer at about 125 statute miles above the surface of the
Earth, and the F 1 layer at about 90 statute miles. At night,
these combine to form a single F layer.
At a height of about 60 statute miles, the solar radiation
not absorbed by the F layer encounters, for the first time, large
numbers of oxygen molecules. A new maximum ionization
occurs, known as the E layer . The height of this layer is quite
constant, in contrast with the fluctuating F layer. At night the
E layer becomes weaker by two orders of magnitude.
Below the E layer, a weak D layer forms at a height of
about 45 statute miles, where the incoming radiation
encounters ozone for the first time. The D layer is the
principal source of absorption of HF waves, and of
 
RADIO WAVES
155
Figure 1007a. The effect of the ionosphere on radio waves.
Figure 1007b. Various paths by which a skywave signal might be received.
“multihop” signal undergoes several reflections. The layer
at which the reflection occurs is usually indicated, also, as
“one-hop E,” “two-hop F,” etc.
Because of the different paths and phase changes oc-
curring at each reflection, the various signals arriving at a
receiver have different phase relationships. Since the densi-
ty of the ionosphere is continually fluctuating, the strength
and phase relationships of the various signals may undergo
an almost continuous change. Thus, the various signals may
reinforce each other at one moment and cancel each other
at the next, resulting in fluctuations of the strength of the to-
tal signal received. This is called fading . This phenomenon
may also be caused by interaction of components within a
single reflected wave, or changes in its strength due to
changes in the reflecting surface. Ionospheric changes are
associated with fluctuations in the radiation received from
the Sun, since this is the principal cause of ionization. Sig-
nals from the F layer are particularly erratic because of the
rapidly fluctuating conditions within the layer itself.
The maximum distance at which a one-hop E signal can be
received is about 1,400 miles. At this distance the signal leaves
the transmitter in approximately a horizontal direction. A one-
hop F signal can be received out to about 2,500 miles. At low
frequencies groundwaves extend out for great distances.
A skywave may undergo a change of polarization
during reflection from the ionosphere, accompanied by an
alteration in the direction of travel of the wave. This is
called polarization error . Near sunrise and sunset, when
rapid changes are occurring in the ionosphere, reception
may become erratic and polarization error a maximum.
This is called night effect .
1008. Diffraction
When a radio wave encounters an obstacle, its energy is re-
flected or absorbed, causing a shadow beyond the obstacle.
However, some energy does enter the shadow area because of
diffraction. This is explained by Huygens’ principle, which
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