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    Antennas and Radio Wave

    Propagation

    (Eeng 5153)

    Introduction to AntennaSystems

    By: Amare KassawBy: Amare KassawBy: Amare KassawBy: Amare Kassaw

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    Lecture Outlines

    Basic principles of antennas

    Types of antennas

    Electromagnetic radiations mechanisms

    Radiation integrals and auxiliary potential functions

    Far field radiation assumptions

    Reciprocity theorems in antenna systems

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    Basic Principles of Antennas

    What is an antenna?

    The American Heritage Dictionary: A metallic apparatus for sending and

    receiving electromagnetic waves.

    Websters Dictionary: Usually a metallic device (as a rod or wire) for

    .

    Balanis, Antenna Theory: An antenna is a passive transitional structure

    between free-space and a guiding structure that radiate EMW

    3

    Source

    Tx

    Receiver

    Circuit

    Rx

    Free Space

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    Definition Continued

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    The guiding device or transmission line may be:

    Coaxial transmission line

    Hollow pipe (wave guide)

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    The antenna transmitting and receiving equivalent modes are

    given as follows

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    In addition to receiving & transmitting energy, an antenna in an

    advanced wireless system is usually required to optimize or

    accentuate the radiation energy in some directions and

    suppress it in others.

    Thus the antenna can also serve as a directional device in

    addition to a probing device.

    It must then take various forms to meet the particular need at

    hand, and it may be a piece ofconducting wire, an aperture, apatch, an assembly of elements (array), a reflector, a lens, and

    so forth (see the next section for detail)

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    For wireless communication systems, the antenna is one of the

    most critical components.

    A good design of the antenna can relax system requirements and

    improve overall system performance.

    For example in TV system the overall broadcast reception can be

    mprove y u z ng a g -per ormance an enna.

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    Transmission line Thevenin equivalent of the antenna

    system

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    From the figure:

    The source is represented by an ideal generator,

    The transmission line is represented by a line with characteristic

    impedance Zc

    The antenna is represented by a load ZA connected to the

    transmission lineZA = (RL + Rr ) + jXA

    The load resistance RL is used to represent the conduction and

    dielectric losses associated with the antenna structure

    While Rris the radiation resistance that is used to represent

    radiation by the antenna.10

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    The reactance XA is used to represent the imaginary part of the

    impedance associated with radiation by the antenna.

    In ideal conditions, energy generated by the source should be

    totally transferred to the radiation resistance Rr .

    However, in a practical system there are conduction-dielectric

    osses ue o e ossy na ure o e ransm ss on ne an e

    antenna, as well as those due to reflections (mismatch) losses at the

    interface between the line and the antenna.

    Taking into account the internal impedance of the source and

    neglecting line and reflection (mismatch) losses, maximum power

    is transferred to the antenna under conjugate matching conditions.11

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    The reflected waves from the interface (along with the travelling

    waves from the source) create constructive and destructive

    interference patterns (Standing Waves) inside the transmission line

    which represent pockets of energy concentrations and storage.

    If the antenna system is not properly designed, the transmission line

    cou ac as an energy s orage e emen ns ea o a wave gu ng an

    energy transporting device.

    If the maximum field intensities of the standing wave are sufficiently

    large, they can cause arching inside the transmission lines.

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    How to minimize the losses due to the line and antenna, and the

    standing waves ?

    Losses due to the line can be minimized by using low-loss lines

    While loses duet to the antenna can be decreased by reducing the

    loss resistance represented byRL .

    The standing waves can be reduced and then the energy storagecapacity of the line can be minimized by matching the

    impedance of the antenna (load) to the characteristic impedance of

    the line.

    This is the same as matching loads to transmission lines , where the

    load here is the antenna, 13

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    Exercise/Assignment

    Explain the basic differences between

    Transmission lines/waveguides

    Radiators and

    Resonators

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    Types of Antenna

    Antennas can be classified based on EM radiation,

    size/dimension, and type /application

    Classification based on EM radiation

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    Classification based on size/dimension of an antenna

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    Classification based on type of an antenna

    1. Wire Antenna

    Wire antennas are seen everywhere on automobiles, buildings,

    ships, aircraft, spacecraft, and so on.

    There are various shapes of wire antennas such as a straight wire

    , , .

    Loop may be circular, rectangular , square, ellipse, or any other

    configuration.

    The circular loop is the most common because of its simplicity in

    construction.

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    Figure : Wire Antenna Configurations

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    2. Aperture Antennas

    It contains some sort of opening through which electromagnetic

    waves are transmitted or received.

    It has better utilization of higher frequencies.

    Hence it is most common at microwave frequencies.

    ntennas of this type are very useful foraircraft andspacecraft applications,because they can be very conveniently

    flush-mounted on the skin of the aircraft or spacecraft.

    In addition, they can be covered with a dielectric material to

    protect them from hazardous conditions of the environment.

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    Figure : Aperture Antenna Configurations

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    3. Microstrip Antennas

    The metallic patch can take many different configurations.

    However, the rectangular and circular types are the most popular

    because of ease of analysis and fabrication, and their attractive

    radiation characteristics.

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    Figure : Microstrip Antennas

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    The microstrip antennas:

    Has low profile, conformable to planar and nonplanar surfaces,

    Simple and inexpensive to fabricate using modern printed-circuit

    technology, mechanically robust when mounted on rigid surfaces

    Compatible with MMIC designs and

    Very versatile in terms of resonant frequency, polarization,

    pattern, and impedance.

    This antenna can be mounted on the surface of high performance

    aircraft, spacecraft, satellites, missiles, cars, and even handheld

    mobile telephones.

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    4. Array Antennas

    Many applications require radiation characteristics that may not be

    achievable by a single element.

    It may, however, be possible that an aggregate of radiating elements

    in an electrical and geometrical arrangement (an array) will result in

    the desiredradiation characteristics.

    The arrangement of the array may be such that the radiation from the

    elements adds up to give a radiation maximum in a particular

    direction and minimum in others as desired.

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    5. Reflector Antenna

    Because of the need to communicate over great distances,

    sophisticated forms of antennas had to be used in order to transmit

    and receive signals that had to travel millions of miles.

    A very common antenna form for such an application is a parabolic

    .

    Antennas of this type have been built with diameters as large as

    305 m. Such large dimensions are needed to achieve the high gain

    required to transmit or receive signals after millions of miles of

    travel.

    Another form of a reflector is the corner reflector. 30

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    Figure : Reflector Antennas

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    Figure: The big dish antenna of Stanford University.

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    6. Lens Antennas

    Lenses are primarily used to collimate incident divergent energy to

    prevent it from spreading in undesired directions.

    By properly shaping the geometrical configuration of the lenses, theycan transform various forms of divergent energy into plane waves.

    ey can e use n mos o e same app ca ons as are e para o c

    reflectors, especially at higher frequencies. Their dimensions and

    weight become exceedingly large at lower frequencies.

    Lens antennas are classified according to the material from which

    they are constructed, or according to their geometrical shape.

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    Electromagnetic Wave Radiation Mechanisms

    How is radiation achieved by the antenna?

    How EMF(E,H) is :

    Generated by the source

    Contained and guided within the transmission line and the antenna

    Electric charges/disturbances are required to excite the fields.

    Once the disturbance in the EMW has been initiated, EMWs are

    created which begin to travel outwardly.

    The waves do not stop or extinguish themselves even if the disturbance

    has been removed.

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    The created electromagnetic waves travel inside the transmission

    line, then into the antenna, and finally radiated as free-space

    waves, even if the electric source has ceased to exist.

    If the electric disturbance is of a continuous nature,

    electromagnetic waves exist continuously and follow in their

    travel behind the others.

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    When the electromagnetic waves are within the transmission line and

    antenna, their existence is associated with the presence of the

    charges inside the conductors.

    However, when the waves are radiated, they form closed loops and

    no need of charges to sustain their existence.

    Hence electric charges are required to excite the fields but are

    not needed to sustain them and may exist in their absence.

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    Basic Sources of Radiation

    1. EM Radiation from Single Wire

    Conducting wires are material which is used to allow the motion

    of electric charges and the creation of current flow.

    Let us consider a very thin wire shown in figure below

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    For the wire is very thin , the current in the wire is given by

    If the current is time varying, then the derivative of the current is

    Then for a wire of lengthl , the equation becomes

    This equation is the basic relation between current and charge, and

    it is the fundamental relation ofelectromagnetic radiation .

    It simply states that to create radiation, there must be a time-varying

    current or an acceleration (or deceleration) of charges.

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    Hence based on the state of the charges, we concluded that :

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    Wire configuration to create radiation

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    2. EM Radiation from Two Wires:

    E-field Analysis

    Applying a voltage across the two-conductor transmission line

    creates an electric field between the conductors.

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    Associated with the electric field has electric lines of force which

    are tangent to the electric field at each point and their strength is

    proportional to the electric field intensity.

    The electric lines of force have a tendency to act on the free

    electrons associated with each conductor and force them to be

    displaced.

    The electric field lines drawn between the two conductors help to

    exhibit the distribution of charge.

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    If we assume that the voltage source is sinusoidal, the electric field

    between the conductors will also be sinusoidal with a period equal

    to that of the applied source.

    The relative magnitude of the electric field intensity is indicated by

    the density (bunching) of the lines of force with the arrows showing

    the relative direction (positive or negative).

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    H-filed Analysis

    The movement of the charges creates a current that in turn creates

    a magnetic field intensity.

    Associated with the magnetic field intensity are magnetic lines of

    force which are tangent to the magnetic field.

    The creation of time-varying electric and magnetic fields between

    the conductors forms electromagnetic waves which travel along

    the transmission line (see next figure).

    The electromagnetic waves enter the antenna and have associated

    with them electric charges and corresponding currents.

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    Figure : Source, transmission line, antenna, and detachment of

    electric field lines.

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    The continuous nature of theelectric disturbance, creates a

    continuous type EMW which

    follow in their travel one after

    the other.

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    Conclusion :

    When the electromagnetic waves are within the transmission line and antenna, their

    existence is associated with the presence of the charges inside the conductors.

    However, when the waves are radiated, they form closed loops and there are nocharges to sustain their existence.

    Hence electric charges are required to excite the fields but are not necessary to

    sustain them and may exist in their absence.

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    Figure a shows the lines of force create between the arms of a small center-fed dipole

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    in the first quarter of the period during which time the charge has reached its

    maximum value and the lines have travelled outwardly a radial distance/4.

    During the next quarter of the period, the original three lines travel an additional/4

    (a total of /2 from the initial point) and the charge density on the conductors begins

    to diminish.

    This can be accomplished by introducing opposite charges which at the end of the

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    rst a o t e per o ave neutra ze t e c arges on t e con uctors.

    The end result is that there are three lines of force pointed upward in the first/4

    distance and the same number of lines directed downward in the second/4. Since

    there is no net charge on the antenna, then the lines of force must have been forced to

    detach themselves from the conductors and to unite together to form closed loops. In

    the remaining second half of the period, the same procedure is followed but in the

    opposite direction.

    Radiation Integrals and Auxiliary Potential Functions

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    Radiation Integrals and Auxiliary Potential Functions

    Introduction EMW problems may be synthesis or analysis type.

    EMW synthesis problems :

    First specify the EM radiated fields(E &H) and

    Then we determine the EM source (J & M)of the radiated fields

    EMW analysis problems:

    Then we determine the EM radiation(E&H) by the sourcesHow to solve analysis problems ?

    Direct integration from the sources.

    By using auxiliary functions (vector potentials) such as The magnetic and electric vector potential ( A & F

    respectively) or

    Equivalently the Hertz potential ( e and h)54

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    The vector potentials are strictly a mathematical tool used to

    determine thephysical quantities E & H.

    They are used to determine an easy way to determine the radiated

    fields as shown below.

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    Although both path requires integration, the integration over path two

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    Although both path requires integration, the integration overpath two

    is much simpler. The most difficult operation in the two-step procedure is the

    integration to determine A and F.

    Once the vector potentials are known, then E and H can always be

    determined because any well behaved function, no matter how

    complex, can always be differentiated.

    The integration required to determine the potential functions is

    restricted over the bounds of the sources J and M. This will result in

    the A and F to be functions of the observation point coordinates.

    So, the differentiation to determine E and H must be done in terms of

    the observation point coordinates.

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    Derivation of electromagnetic fields (E & H) from the

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    Derivation of electromagnetic fields (E & H) from the

    sources(J &M) via the two step procedure

    To determine the radiated fields, we use the basic vector identities,

    Maxwells and EMW equations ( Refer the proof from EMW and Guided( Refer the proof from EMW and Guided( Refer the proof from EMW and Guided( Refer the proof from EMW and GuidedStructures)Structures)Structures)Structures)

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    Where A is vector Vis scalar

    Maxwells Equations

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    EMW Equations

    Divergence and curl of potential functions

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    Steps to derive electric and magnetic fields

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    p g

    First, find the auxiliary vector potential functions A and F

    generated, respectively, by J and M.

    Determine the corresponding electric and magnetic fields

    (EA,HA due to A and EF ,HF due to F).

    The total fields are then obtained by the superposition of theindividual fields due to A and F (J and M).

    In summary, the steps that can be used to find the fields areas follows:

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    1. Specify the sources J and M

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    2. Find A due to J by using

    and F due to M by using

    3. Determine H and E due to the magnetic vector potential A by

    and determine H and E due to the electric vector potential F by

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    4. Finally, the total radiated fields are give by

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    Far Field Radiation Assumptions

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    Use the hand out

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    Duality Theorems in Antenna System

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    Use the hand out

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    Reciprocity Theorems in Antenna System

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    Use the hand out

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