Radiowaves and its applications in modern world

RUNNING HEAD:RADIO WAVES AND ITS APPLICATIONS IN MODERN WORLD
RADIOWAVES AND ITS APPLICATIONS IN MODERN WORLD
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RADIO WAVES AND ITS APPLICATIONS IN MODERN WORLD
ACKNOWLEDGMENT
This research was supported by American University Washington DC. We thank our colleagues from American University
who provided insight, and expertise that greatly assisted the research and also supported us financially so that we can come
up with this manuscript. We are very grateful. Thank you and God bless you all.
RADIO WAVES AND ITS APPLICATIONS IN MODERN WORLD
Abstract- Radio Physics is a branch of physics which deals
in the theoretical and experimental study of different kind of
radiations: how radiations are emitted, their propagation
and their interaction with the matter. Radiophysics, in short,
can be described as the study of radio waves. This paper
focuses on the study of radio waves, their history, their
propagation i.e. how they travel between the medium and
their applications in our modern day world. This paper aims
at bringing to understanding the radio waves which is
playing a very great role in modernizing our environment
Index Terms- Radio waves, wavelength, amplitude,
propagation, frequency, electromagnetic radiation,
transmitter, antennae, transmitters, emitters, wireless
HISTORY OF RADIO WAVES
They were first discovered by mathematical work done by
James Clerk Maxwell a mathematical physicist on 1867
whereby Maxwell noticed wavelike properties of light and
similarities in electrical and magnetic observation. Later
James Clerk Maxwell developed a mathematical theory
called Maxwell equations. He described radio waves as the
waves of electromagnetism that travel in space which is
radiated by the charged particles as they undergo
acceleration. [8]
In 1887, Heinrich Hertz demonstrated the reality of
Maxwell’s electromagnetic waves by experimentally
generating radio waves in his laboratory. As He studied the
properties which were exhibited. He discovered that they
had the same properties as the light i.e. Standing waves,
refraction, diffraction, polarisation. Radio waves were first
used in the mid-1890s by Guglielmo Marconi an Italian
inventor and electrical engineer who developed the first
practical radio transmitters and receivers. [8]
General radio timeline
Below are listed a timeline of the radio from 1880s-1990s
which show how the discovery of radio waves has resulted
in the various invention and adjustment up to our modern
wireless communication which is widely known because of
Mobile Phones and Radios.[5]
1885- Heinrich Hertz proved that electricity can be
transmitted in electromagnetic waves. He conducted
experiments in sending and receiving these waves during the
late 1880s.
1891- Wireless Telegraph began to appear on ships at sea.
This invention reduced the isolation
of the ships which lead to improved reliability and safety
1892-1893: Nikola Tesla wirelessly transmitted
electromagnetic energy. He made the first public
demonstration of radio in St Louis in 1893
1896-1897: Guglielmo Marconi filed for patent protection of
his radio apparatus. He established the wireless telegraph
and signal company in 1897.
1899: The R.F. Mathews was the first ship to request
emergency assistance using a wireless apparatus i.e.
Marconi’s System
1901- First transAtlantic signal sent by Marconi from
Ireland to Canada
1902: Amateur radio introduced to the U.S. via a scientific
article. i.e. “How to Construct an Efficient Wireless
Telegraphy Apparatus at Small Cost.”
1906: Reginald Fessenden was the first to transmit a
program of speech and music.
1906: Lee Deforest produced the “Audion”, a trode vacuum
tube that allowed for amplification of radio signals
1910: First Radio transmission from an aeroplane
1912: Federal regulation of American waves begins
Amateurs had to be licensed; ships had to have a radio and
trained operators
1917: All U.S. radio station not needed by the government
were shut downs
1918: Edwin Armstrong patented the super Heterodyne
receiver based on work he did as an officer in the Army
Signal Corp.
1927: The federal Radio Commission established to bring
order to chaotic airwaves.
1947: Cellular radio telephony with call handoff and
frequency reuse, was conceived at Bell Laboratories.
1970: The FCC reallocated TV channels 70-83 for
mobile radio services
1985: The FCC permitted spread spectrum, the
technology of choice for many of today’s digital,
commercial cellular and PCs services
1992: The FCC reallocated spectrum at 2GHz for
emerging digital mobile services.
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1995: The first cellular system using digital CDMA
technology was commercially launched by
QUALCOMM. [5]
Understanding Radio Waves
Radio waves are the type of magnetic radiation
with a wavelength in the electronic spectrum longer
than infrared light. They travel at the speed of light
similarly to all other radiations. Radio waves can be
generated in two ways i.e. naturally and artificially.
Naturally occurring radio waves which are generated
by the lightning or astronomical objects. Artificial
generated radio waves which are generated by a radio
transmitter and then received by a radio receiver. [3]
What are waves?
A wave is an oscillation or disturbance which is
accompanied by a transfer of energy that travels
through a medium (space or mass) or the repeating
and periodic disturbance that moves through a
medium (a substance that carries wave) from one
location to another. A wave has a certain speed,
frequency, amplitude and wavelength. The following
mathematical model is used to show the relationship
between them:
Speed= Frequency * Wavelength
Wavelength which is sometimes referred to as
lambda is the distance measured from the point of
one wave to the equivalent part of the next i.e. from
the top of one peak to the next peak [1]
Frequency is the number of whole waves that pass a
fixed point in a period of time. Speed is how fast the
wave travels. Speed is measured in meters/second,
the frequency is measured in cycle per seconds (or
Hertz, Hz), and wavelength is measured in meters.
Amplitude is the distance from the centre of the wave
to the extreme of one of its peaks (the height of the
wave).
The relationship between frequency, wavelength and
amplitude are shown below
Fig 1.1 [13]
Propagation of Radio Waves
Propagation of radio waves is the behaviour of
radio waves as they are propagated, from one point to
another, or into various part of the atmosphere. In the
developing telecommunication services, it is crucial
first to understand the propagation of radio waves
which are used in the transmission of information
from one place to another. Radio propagation is
affected by the change in weather e.g. change in
water vapour and ionisation in the upper atmosphere
which is influenced by the sun. [1]
Radio waves propagate in the space according to a
different mechanism. (Flickenger, Aichele, & Fonda,
2006) Namely:
Free Space propagation
Reflection
Line of Sight Propagation
Transmission
Diffraction
Scattering
Wave Guiding
(i)Free Space Propagation (Line of Sight)
In this mechanism, a wave propagates without
encountering any obstacles between the medium. The
surface of the wave is the set of all points reached at
a certain time after the moment wave is emitted from
a homogenous medium. The attenuation in free space
propagation comes from the scattering of energy
which occurs as the wave propagates away from the
transmitter. Free space attenuation is a function of the
distance and the frequency. The excess attenuation
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Annual Physics 200 Conference
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compared to free space attenuation is defined as the
difference between the path loss and free path
attenuation.
(ii)Refraction
This is a phenomenon whereby vibrations or
waves are reflected at a surface according to Snell-
Descartes law. Snell-Descartes law is a formula used
to describe the relationship between the angle of
incidence and refraction when referring to light or
other waves passing through a boundary between two
different is, such as water, glass, or air. This
phenomenon occurs when a propagating wave
impinges upon a surface with large dimensions
compared to the wavelength. It is found that the
direction of an electromagnetic wave changes as it
moves from an area of one refractive index to another.
The angle of incidence and the angle of refraction are
linked by Snell's Law that states:
n1 sin (theta 1) = n2 sin (theta 2)
For radio signals, there are comparatively few
instances where the signals move abruptly from a
region with one refractive index to a region with
another. It is far more common for there to be
comparatively gradual change. This causes the
direction of the signal to bend rather than undergo an
immediate change in direction. [12]
(iii)Transmission
This Phenomenon is the process whereby
vibrations or waves propagates through a medium for
instance vacuum, the air or an obstacle, without a
change of frequency according to Snell-Descartes
law. Various transmission is used to propagate waves
through a medium. In Regular transmission, the wave
propagates through an object without diffusion. In
Diffuse transmission, a phenomenon of diffusion
occurs at a macroscopic scale independent of
refraction laws. The Transmission coefficient is
defined as the ratio between the transmitted energy
flux and the incident energy flux. [1]
(iv) Diffraction
This phenomenon occurs when waves impinge
upon an obstacle or an aperture with large dimension
compared to the wavelength. This Phenomenon is
one of the most important factors in the propagation
of radio waves and results in disturbances affecting
the propagation of these waves, for instance, the
bending of the path around an obstacle or beam
divergence. ((Flickenger, 2006)
To understand the diffraction Huygens’s principle is
applied. Huygens’s Principle states that “each point
on a spherical wave front can be considered as a
source of a secondary wave front. Even though there
will be a shadow zone immediately behind the
obstacle, the signal will diffract around the obstacle
and start to fill the void. It is found that diffraction is
more pronounced when the obstacle becomes sharper
and more like a "knife edge". For a radio signal, a
mountain ridge may provide a sufficiently sharp
edge. A more rounded hill will not produce such a
marked effect. It is also found that low-frequency
signals diffract more markedly than higher frequency
ones. It is for this reason that signals on the long
wave band are able to provide coverage even in hilly
or mountainous terrain where signals at VHF and
higher would not.
(v) Reflection
When reflection occurs, the angle of incidence is
equal to the angle of reflection for a conducting
surface as would be expected for light. When a signal
is reflected there is normally some loss of the signal,
either through absorption or as a result of some of the
signal passing into the medium. A variety of surfaces
can reflect radio signals. For long distance
communications, the sea provides one of the best
reflecting surfaces. Other wet areas provide a good
reflection of radio signals. Desert areas are poor
reflectors and other types of landfall in between these
two extremes. In general, though, wet areas provide
better reflectors.
For relatively short range communications, many
buildings especially those with metallic surfaces
provide excellent reflectors of radio energy. There are
also many other metallic structures such as
warehouses that give excellent reflecting surfaces. As
a result of this signals travelling to and from cellular
phones often travel via a variety of paths. Similar
effects are noticed for Wi-Fi and other short-range
wireless communications. An office environment
contains many surfaces that reflect radio signals very
effectively.
(vi) Scattering
This is phenomenon whereby the energy of an
electromagnetic wave is distributed in a propagation
medium along several directions after meeting a
rough surface or heterogeneities with small
dimensions compared to the wavelength. After the
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Annual Physics 200 Conference
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wave have been emitted, a wave may follow paths
between the emitter and the receiver. Depending on
the nature of the obstacle that the waves encounter
during their propagation.
(vii) Absorption
When electromagnetic wave goes through something
they generally get weakened or dampened. The
amount of power in which they will lose is dependent
on their frequency and material. For the purpose of
practical wireless network.
Behavior of a Radio wave
Radio waves are characterized by the following
behaviors namely: [1]
The longer the wavelength, the further it
goes
The longer the wavelength, the better it
travels through and around things
The shorter the wavelength, the more data it
can transport
Longer wavelength travel further because low
frequency sound waves in the atmosphere travel
farther than high frequency sound waves because
the short wavelength is more easily absorbed by
the molecules in the air
The longer the wavelength, the better it travels
through and around things. The distance a wave
can travel depends on the relationship between
the wavelength of the wave and the size of an
obstacle in its path of propagation. It is very
difficult to visualize waves moving through solid
object but this is the case with electromagnetic
waves. Longer wavelength waves tend to
penetrate object better than shorter wavelength
(therefore high frequency) waves. For instance,
FM-radio (88-108MHz) can travel through
building and other obstacles easily while shorter
waves such GSM phone operating at 900MHz-
1800MHz have a hard time penetrating building.
This effect is partly due to difference in power
level used for FM and GSM. This is mainly due
to the shorter wavelength of GSM signal.
Shorter waves can carry more data. The faster
the wave swings or beats, the more information
it can carry. Every beat or cycle could, for
example, be used to transport digital bit
The Propagation Environment
This is Geographical environment considered for a
description of the propagation of waves between a
transmitter and the receiver. Various environments
have a different impact on the radio waves. The radio
waves propagating through a medium through
scattering and absorption of the electromagnetic
energy. The efficiency of the interaction is related to
the amount of signal absorption. Changes in
propagation velocity due to this interaction results in
refraction of waves. [2]
This clearly shows that different atmosphere has a
different impact on the propagation of waves e.g.
presence of water vapour in the atmosphere results to
the well-reflected surface for radio signals.
How Do Radio Waves work?
Radio waves are basically frequencies that travel at
the speed of light and deliver information from
transmitters to receivers[4]
Antenna(aerial) which is a receiver, it's the metal
rod or dish that catches radio waves and turns them
into electrical signals feeding into something like a
radio, telephone or a telephone system. Antennas like
this are sometimes called receivers. A transmitter is a
different kind of antenna that does the opposite job to
a receiver: it turns electrical signals into radio waves
so they can travel sometimes thousands of kilometres
from the Earth or even into space and back. Antennas
and transmitters are the keys to virtually all forms of
modern telecommunication.
Fig 1.2 showing a Receiver dish
How antennas Works
The antenna is an electrical device which converts
electrical power into radio waves and vice versa. It is
usually used with the radio transmitter or radio
receivers. In transmission. a radio transmitter
supplies an electric current oscillating at radio
frequency to the antenna’s terminals, and the
antennae radiate the energy from the current as
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APRIL 28 2017 American University, Washington DC
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Annual Physics 200 Conference
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electromagnetic waves. In reception, an antenna
intercepts some of the power of an electromagnetic
wave in order to produce a tiny voltage as its
terminal, that is applied to the receiver to be
amplified.
Transmitter and receiver antennas are often very
similar in design. For example, if you're using
something like a satellite phone that can send and
receive a video-telephone call to any other place on
Earth using space satellite, the signals you transmit
and receive all pass through a single satellite disha
special kind of antenna parabolic reflector.
transmitters and receivers look very different. TV or
radio broadcasting antennas are huge masts
sometimes stretching hundreds of meters/feet into the
air because they have to send powerful signals over
long distances. But you don't need anything that big
on your TV or radio at home: a much smaller antenna
will do the job fine.
Fig 1.3 showing how transmitter and receiver Works
Waves don’t always travel straight from
receivers to transmitters. They are dependent on what
kinds (frequencies) of waves we want to transmit,
how far we want to send them, and we want to do it.
There are various ways in which waves can travel.
[6]
(i) The line of Sight (Free space propagation)-
In a straight line- just like a beam of light.
In old fashioned long-distance telephone
network, microwaves were used to carry
calls this way between very high
communication towers
(ii) They can speed around the Earth’s
curvature (ground wave). AM (medium-
wave) radio tends to travels this way for
short-to-moderate distances. This explains
why we can hear radio signals beyond the
horizon (when the transmitter and receiver
are not within the sight of one another)
(iii) They can shoot up to the sky, bounce off
the ionosphere and then come back to the
ground again. This effect is more suitable
at night which explains why distant
(foreign) AM radio stations are much
easier to pick up in the evening. During the
day, waves shooting off the sky are
absorbed by the lower layer of the
ionosphere. At night this does not happen
instead, higher layer of ionosphere catches
the radio waves and flying them back to
earth. Giving us a sky mirror that can help
us carry radio waves over very long
distances.
Fig 1.4 Showing how waves travels
An antenna which uses a line of sight
communication needs to be mounted in the very
high tower.
APPLICATION OF RADIO WAVES
From the history of radio waves, the discovery of
radio waves resulted to many inventions which are
really relevant to this modern world. A vast number
of the population uses mobile phones, radio. Not only
are radio waves applied to media only but also they
are applied in various fields for instance in the
hospital, metrological stations.
Application of radio waves to media
Media have enjoyed a lot of benefits from radio
waves. Radio waves are predominantly used for
transmitting signals, enabling communication back
and forth from great distances. These waves can be
transmitted as far as out of space or short as several
millimetres.
Mobile Phones
Wireless phones, unlike a conventional phone that
uses wires and cable, uses radio signals that are
carried through the air. A radio signal transmission
system is made up of transmitters and receivers. Both
the transmitter and receiver have antennae that either
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Annual Physics 200 Conference
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launch(transmit) or collect (receive) radio waves. The
receiver does not produce any radio or
electromagnetic waves but receives and translates
radio signals of a specific type. A wireless phone has
a receiver and transmitter in one device. When a
person makes a call it is transmitted to the nearest
“base station” which receives and transmits a radio
signal in its area. The call is connected to the local
phone network and delivered by phone lines, using
ground-based antennae or radio signals if is being
transmitted to another wireless phone. The antennae
of a radio transmitter emit electromagnetic waves at a
specifically allocated frequency which contains
information such as voice or picture.
The information is encoded in radio waves. For
example, in the AM (amplitude modulation) radio,
the amplitude of the signal follows the change of the
pitch, whereas, in the FM (Frequency Modulation)
radio, the sound signals change the frequency of
radio waves
Fig 1.5 showing how radio signals are transmitted
from one wireless phone to another
Televisions and Radios
Radio waves have lower frequencies and longer
wavelengths than microwaves. They are used to
transmit television and radio programs. Television
uses higher frequencies than radio.
A radio program receiver does not need to be
directly in view of the transmitter to receive program
signals. For low-frequency radio waves, diffraction
can allow them to be received behind hills, although
repeater stations are often used to improve the quality
of the signals.
The lowest frequency radio waves are also
reflected from an electrically charged layer of the
upper atmosphere, called the Ionosphere. This means
that they can reach receivers that are not in the line of
sight because of the curvature of the Earth's surface.
Wi-Fi and Bluetooth
Wi-Fi can be used to connect to the internet which
means you can learn information, communicate to
others, to play games. Wi-Fi uses radio waves to
transmit and receive information from one device to
another. Either from mobile phones or computers. A
computer’s wireless modem translates radio signal
into data to receive the information and transmits it
using an antenna or a cable. WI-FI is transmitted at a
frequency of 5GHZ, as this is a high frequency thus
information can be sent very quickly and without
interferences.
Bluetooth networking transmits data via low-
power radio waves. It communicates on a frequency
of between 2.402 GHz and 2.480 GHz, this frequency
band has been set aside by international agreement
for the use of industrial, scientific and medical
devices (ISM). Which is enabled by the radio waves.
Infrared
Infrared waves can send small packs of data
through invisible waves. Infrared signals require a
line of sight between the receiver and broadcaster in
order to function properly. This form of the radio
wave is cheap to produce but it is unreliable thus, as a
result, it's used mainly in television remote
communication and other transmissions of small data
packets.
Radar
They are used to identify objects, for use in boats
and also the speed of an object. Also, radar can be
used to map out an area. They achieve this by
sending out a radio wave and waiting for the signal to
be bounced back from the object. This is especially
useful if it is impossible to visually identify the speed
and distance of the object. This method is also used
with bats, which send out signals and sense for a
return vibration to know if there is an object it’s
flying path
GPS System
The Global Position System is a mean of locating
any point on the earth. The GPS system is made up of
24 NAVSTAR satellite and five ground station. The
RADIOWAVES AND ITS APPLICATIONS IN MODERN WORLD
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TH
Annual Physics 200 Conference
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ground stations are responsible for keeping the
satellite in precise orbit. Each of the 24 satellites
transmits its own unique signal. The GPS unit has
stored in it those in it 24 separate “signatures” and
therefore knows the position of each satellite. By
measuring the distance to the at least four satellite,
each in its distinct orbit. Distance to each satellite is
measured simply by the time taken for a radio wave
to reach the GPS unit.
Radio Controlled toys
The transmitter sends a signal over a frequency to
the receiver in the toy. The main difference between
radio controlled and remote controlled toys have a
wire that connects controller and toy, radio controlled
toys are wireless always. Signals reach the controls
the car is similar to the radio created through the lab
session. Inside the toy, there is a circuit which
includes all the necessary equipment to pick up the
radio signals. The radio receiver consists of a crystal
that oscillates at the specific frequency, indicator and
an antenna.
Application of radio waves in Medicine
Magnetic Resonance Imaging(MRI)
Radio frequency(RF) energy have been used in
medical treatment for over a period of time. Radio
waves are used in MRI scans to give 3D images of
the body. The magnet in the scanner causes all the
proton in the body to align. A radio wave pulses
cause the proton to move out of alignment in
different directions, generating the 3D image and
giving the doctor the ability to look at tissue, bone
and fluid inside a patient. Once the radio waves are
turned off the proton realign.
Also, radio waves are used to transmit the pattern
of the heartbeat through the monitor at a patient’s
home to a nearby hospital. They have also used to
radio the condition of a patient from an ambulance to
a hospital.
Radio waves are used in medicine when
paramedics are dispatched to the scene where they
are needed. The hospital can tell the paramedic the
condition of the person so that the paramedic can
prepare a medical treatment kit.
Other applications
Telemetry
Telemetry is the process of making measurements
from a remote location and transmitting those
measurements to the receiving equipment. An
Example of a modern telemetry application is the use
of input device called transducer to measure
information concerning an astronaut’s vital signs i.e.
heartbeat, blood pressure, body temperature during a
manned space flight. The transducer takes this
information and converts it into an electrical impulse
which is then beamed to the space monitoring station
on earth.
Advantages of Radio Waves
(i)For radio waves is that it is able to bounce off the
ionosphere (a region in the earth atmosphere) so it
could travel around the world. It is a cheap form of
communication and it travel through air so no wire is
needed for communication
Disadvantages of Radio Waves
(i)They cannot transmit a lot of data simultaneously
because they are low frequency
(ii) Continued exposure to large amount of radio
waves can cause health disorder like leukaemia and
cancer.
(iii) Radio waves have the longest wavelengths and
lowest frequencies in the electromagnetic spectrum
thus they take a while to transfer information.
SUMMARY
Radio waves are a type of electromagnetic
radiation with wavelength in the electromagnetic
spectrum longer than infrared light [8]. They are
propagating from one medium to another i.e. space or
air. Radio waves travels at a speed of light and they
have the following phenomenon exhibited i.e.
refraction, reflection, absorption, polarization and
scattering. [1].
Radio waves have a certain behavior whereby the
Longer wavelength travel further because low
frequency sound waves in the atmosphere travel
farther than high frequency sound waves because the
short wavelength is more easily absorbed by the
molecules in the air, the longer the wavelength the
better it travels around things and also Shorter waves
can carry more data. The faster the wave swings or
beats, the more.[2]
Radio waves works the following ways,Radio
waves are basically frequencies that travel at the
RADIOWAVES AND ITS APPLICATIONS IN MODERN WORLD
APRIL 28 2017 American University, Washington DC
17
TH
Annual Physics 200 Conference
2
speed of light and deliver information from
transmitters to receivers. Antenna(aerial) which is a
receiver, it's the metal rod or dish that catches radio
waves and turns them into electrical signals feeding
[6] Antennas like this are sometimes called receivers.
A transmitter is a different kind of antenna that does
the opposite job to a receiver: it turns electrical
signals into radio waves so they can travel sometimes
thousands of kilometres from the Earth or even into
space and back are the keys to virtually all forms of
modern telecommunication.
Waves don’t always travel straight from the
transmitter to the receiver instead depending on how
far the frequency are to be transmitted they can travel
through line of sight
Radio Waves Wave Length They have
wavelengths of approximately 103m. Frequency
They have a frequency of approximately 108Hz.
Radio waves are mainly used for communication due
to their low frequency. Important Uses
Radio waves are mainly used for communication.
The main purpose of radio waves is to convey
information from one place to another through the
intervening media. Properties of the wave:
Wavelength, Frequency, Harmonics, since radio
waves are transverse waves, they have the properties
of transverse waves.
The following are some of the apparatus which uses
the radio waves namely; television cables, satellites,
cell phones, Two-way radios, Cordless telephones,
Wired computers, televisions, remote controls, CD
players and other digital equipment.
Artificially-generated radio Waves Artificially
generated radio waves are made by different
transmitters.[5] Naturally-occurring radio Waves
Naturally-occurring radio waves are made by
astronomical objects, such as lightning, stars and
sparks.[5] Physical or health effects on living things
Fears about mobile phones, telecommunication
cables etcetera are generally misguided.
Studies conducted have shown that radio waves do
not have any harmful effects on living things, except
when they are produced in extremely high amounts.
Some of the limitation of radio waves is, they
cannot transmit a lot of data simultaneously because
they are of low frequency also continued exposure to
large amount of radio waves can cause health
disorder like leukaemia and cancer.
Some of the applications of radio waves in our day
to day life is that they are used in media i.e. television
and radio station, they are used in communication i.e.
wireless mobile phones, they are used also in wireless
technologies i.e. Wi-Fi and Bluetooth which are also
used in the convey of information from one device to
another without any solid medium. Also in medicine,
they are used in magnetic resonance imaging and also
infrared rays are used in hospital. Other areas where
radio waves are applied is ship industry where radar
technology are used to determine obstacles in the
way this technique is used in bat to determine
whether there is obstacle along its path
RADIOWAVES AND ITS APPLICATIONS IN MODERN WORLD
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[11 ]Lucas, J. (2015, April 06). What Are Radio Waves? Retrieved February 21, 2017, from http://www.livescience.com/50399-radio-
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[12] Radio waves propagation. (1987). London: North Oxford Academic.
[13]. Easton, T., & Escabasse, S. (2014). Radio waves. London: Wayland.
[14]. Girardi, A. A. (n.d.). Radio Physics Course: An Elementary Radio Text Book for Students, Set Builders and Servicemen. Radio Design
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[15] Propagation of waves. (1969). Pergamon Press.

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