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Antena07.13

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    BROADBAND ANTENNAS

    Sumber buku:

    Antenna Theory and Design

    by Warren L. Stutzman dkk.

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    Broadband Antennas:

    Traveling wave antennas

    Long terminated wires

    Helical Antennas

    Gambar-gambar antena

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    There are many applications that it is extremely importantto use antenna with broad bandwidth

    Definition:

    2Lu

    c fff

    1

    23

    Lf Freq.

    VSWR

    cf uf

    Lower

    center

    upper

    Bandwidth as a percent of the

    center frequency

    Bandwidith as a ratio

    %100

    c

    Lup

    fffB

    L

    ur

    f

    fB

    usually used for small

    bandwidth antennas

    usually used for large bandwidth antennas

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    Classification of broadband antennas:

    In practice, antennas whose impedance and patterndo not change significantly over about an octave

    ( fu/fl = 2) or more are considered to be broadband

    Generally speaking, resonant antennas are not

    broadband. Their bandwidth can vary from

    0.5% to 30%

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    Macam-macam broadband antena:

    Traveling wave antennas

    Helical antennas

    Biconical antennas

    Spiral antennas

    Log periodic antennas etc.

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    Question: What makes the dipole antenna not to be broadband ?

    Answer: The establishment of the standing wave current

    What causes

    standing wavecurrent?

    Reflection from the end points of the antenna

    Recall :

    )

    2(sin)( zL

    IzI m

    Rewrite : zjzjLjm eeejIzI 2/

    2)(

    (only 10% to 20%)

    Outward traveling wave Reflected wave

    Current reflectioncoefficient at anopen circuit

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    z

    mI2/l

    2/l

    2sin

    LI

    VZ

    m

    A

    strong function of

    frequency

    standing

    wave

    current

    goes to zero

    Observation: Suppression of the reflected wave

    will enhance bandwidth. How?

    If the reflected wave is not strongly present on an antenna, it is referredto as a traveling-wave antenna

    The simplest traveling-wave wire antenna is a straight wire carrying apure traveling-wave, referred to as the traveling-wave long wire

    antenna.

    A long wire is one that is greater than

    one- half wavelength long.

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    Input impedance are

    traveling wave antennas

    are predominately real. In

    this case, it is around 200

    or 300 W.

    For no reflection RL ischosen to be 200 or 300

    W.

    When this antenna is positioned near real

    earth, it is called Beverage Antenna orWave antenna

    Pattern:

    )cos1(2/)cos1(2/sin

    sin)(

    L

    LF

    Example :

    LR

    zj

    meII

    L z

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    Long Vee antenna:

    o

    L16

    6

    The directivity of a vee dipole canbe greater than that of astraight dipole

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    Rhombic antenna:

    o

    L

    166

    The efficiency of the rhombic antennais decreased significantly because of thematched termination.

    Small back lobe, better pattern

    Produces wider impedance bandwidth

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    If a conductor is wound into a helicalshape and fed properly, it is referred to asa helical antenna or simply as a helix.

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    Geometry Parameters

    Depending on the helix

    dimensions, this antenna can

    operate in normal or axial

    mode.

    antennaloop)0(0 oS

    antennalinear)90(0 oD

    Note:

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    For normalmode :

    LD ; Radiation characteristics can beviewed as the combination of an

    ideal dipole and small loop.

    Ideal

    dipole:

    Small

    loop:

    sin

    4 r

    eISjE

    rj

    D

    sin44

    22

    r

    eIDE

    rj

    L

    Note that their fields areorthogonal to each other and

    90o out of phase. Depending on

    their relative amplitudes various

    polarization can occur.

    rE

    E

    I

    I

    Approximation

    of one turn of

    normal mode

    helix

    ideal dipole

    of length S

    along Z axis

    small loop of area

    in x-y plane

    2

    4D

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    Polarization:

    222

    22)(

    22

    4

    D

    S

    D

    S

    ID

    IS

    E

    E

    or2

    )(

    2

    C

    S

    E

    EAR ncecircumfere

    DC

    In general, the polarization is elliptical.

    Special cases:

    polarizedlyhorizontalantennaloopsmall0 S

    polarizedyverticallantennadipoleideal0 C

    )(polarizedCircularly2 EESDC

    Note they

    were 90o

    out of

    phase

    Radiation pattern

    2

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    z

    Axial modePatternKey feature of

    axial mode:

    DC

    C ~CAxial mode helical antennas have very

    complex radiation mechanism. Kraus was

    the first to fully explain their characteristics.

    Based on many experimental studies, it

    has been suggested that the helix carries a

    pure traveling wave that travels outward

    from the feed.

    Operates well for

    3

    4

    4

    3 C

    78.14/33/4

    //

    L

    u

    L

    ur

    cc

    ffB

    Almost circularly polarized

    15 dB gain with small

    cross-section

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    The phase of the axial mode helix

    current shifts along the helix path.

    Assuming that the element pattern of

    the non uniform current loop is

    and applying the uniform array theory

    cos

    One obtains,

    hSN

    NKF

    cos)2/sin(

    sincos)(

    z

    Since the beam is along z-axis,

    i.e. and the peaks

    happens for , the initial

    thinking suggests that ,

    however, more is happening!

    o0

    0

    Sh

    D

    S

    1tan

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    What else is

    happening?

    Going around of C=1 loop additional 2

    phase is required, then . 2 Sh

    What else? However, since this antenna demonstrate very

    small back lobe, it must operate near Hansen-Woodyard condition; therefore, a very realistic

    phase progression among the loops after each

    turn will be

    )2( NSh

    Axial phase Phase due to

    C=1 turnSmall back lobe

    condition

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    Let us now assume that along the helical conductor thecurrent travels with phase constant , then

    h

    )2(12N

    SLN

    SL hh

    total length of one turn

    Now, we can find currents phase velocity along the helix.

    Phase velocity:h

    v

    Speed of light:

    c

    )2/()12(//

    NNSL

    cvp

    h

    Velocity factor For p

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    Based on the previous

    expressions, the

    normalized pattern is :

    )2/sin(

    )2/sin(cos2

    sin)1()( 1

    N

    NF N

    NS

    2)1(cos

    For practical condition of , the following

    design parameters have been established

    ooC 1512;3

    4

    4

    3

    SNc

    HPo65

    SN

    c

    HPG

    2

    2 2.6000,26

    N

    NAR

    12

    W 140

    cRA

    78.1rB

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    Infinite Biconical Antena

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    Finite Biconical Antenna

    Di A

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    Discone Antenna

    H~0.7

    B~0.6

    D~0.4

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    Planar Equiangular Spiral Antenna for theself-complementary case with = 90o

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    Archimedean spiral antenna

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    Log-periodic Wire Antenna

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    Spiral Antenna for GroundPenetrating Radar (GPR)

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    Pictures of Antennas