Development of Dielectric Resonator Antenna

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    Development of Dielectric

    Resonator Antenna (DRA)K. W. Leung

    State Key Laboratory of Millimeter Waves &

    Department of Electronic Engineering,City University of Hong Kong

    Presented to the IEEE LI Section Antenna and

    Propagation Society on Monday October 8th 2012

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    I. Introduction

    II. Circularly Polarized DRA Using a Parasitic Strip

    III. Frequency Tuning Technique

    IV. Omnidirectional Circularly Polarized DRAs

    V. Dualband & Wideband DRAs

    VI. Dualfunction DRAs

    Outline

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    3

    The DRA is an antenna that makes use of a radiating modeof a dielectric resonator (DR).

    It is a 3-dimensional device of any shape,

    e.g., hemispherical, cylindrical, rectangular,

    triangular, etc.

    Resonance frequency determined by the its dimensions and

    dielectric constant r.

    What is Dielectric Resonator Antenna (DRA) ?

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    Some DRAs :

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    Advantages of the DRA

    Low cost

    Low loss (no conductor loss) Small size and light weight

    Reasonable bandwidth (~10% for r ~10)

    Easy of excitation High radiation efficiency ( generally > 95%)

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    Excitation schemes

    (i) Microstrip line feed

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    Ground plane

    Microstrip

    feed line

    Feed

    Substrat

    DRA

    Slot

    (ii) Aperture-couple feed

    Excitation schemes

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    (iii) Coaxial feed

    Excitation schemes

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    Bottom viewTop view

    Coaxial feed

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    Bottom view Top view

    Aperture-coupled feed

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    Slot-fed DRA array using corporate

    microstrip feed network

    Corporate feedline for DRA array

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    Conformal-Strip Method

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    Rectangular DielectricResonator Antennas

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    14

    Proposed Antenna Geometry

    W1

    l1

    a

    d

    b

    x

    y

    zGround

    Plane

    Rectangular

    DRA

    Coaxial

    Aperture

    Conducting

    Strip

    r

    a

    (mm)

    b

    (mm)

    d

    (mm)

    l1(mm)

    W1(mm)

    r

    14.3 25.4 26.1 10 1 9.8

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    Resonant frequency of TEmnl(y) mode

    Analytical Solution

    Dielectric Waveguide Model (DWM)

    222

    0

    2zyx

    r

    kkkcf

    d

    l

    kb

    n

    ka

    m

    k zyx 2,,

    2

    0

    222 kkkk rzyx

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    Numerical Solution

    Advantages

    - Very simple- High modeling capability for general EM structures

    - No spurious modes nor large matrix manipulation

    - Provide a very wideband frequency response

    Finite-Difference Time-Domain (FDTD) method

    Disadvantages

    - Time consuming, powerful computer required

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    Baseband Gaussian pulse

    ])3(exp[22 TTntEz T : pulse width

    0

    011

    )(

    )(

    ZZ

    ZZS

    tIFFT

    tVFFTZ

    in

    in

    in

    Conformal Strip

    Ground Plane

    Ez (V)Hy Hy

    HxHx

    (I)

    Source occupies only one grid

    Source model and extraction of S parameters

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    Uniform Cartesian grids

    T = 0.083ns, t0

    = 3T

    10-cell-thick PML with polynomial spatial scaling

    (m = 4 and max = 1)

    total grid size : 80x 110y 112z

    total time steps : 10000

    x= 0.715 mm, y= 0.508 mm, z= 0.5 mm

    Parameters

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    3 3.5 4 4.5 5 5.5 6

    -100

    -50

    0

    50

    100

    150

    200

    Frequency (GHz)

    2 2.5 3 3.5 4 4.5 5 5.5 6-30

    -25

    -20

    -15

    -10

    -5

    0

    ExperimentTheory

    Frequency (GHz)

    |S11|(dB)

    InputImpedance(ohm)

    ExperimentTheory

    Resistance

    Reactance

    Input Impedance/S11

    Reasonable agreement.

    Wide Bandwidth of ~ 43%.

    Dual resonantTE111y and TE113y modes are excited.

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    y

    111TE

    y

    113TE

    ResonantModes

    Measuredresonant

    frequencies

    Calculated resonantfrequencies (FDTD)

    Predicted resonantfrequencies (DWM)

    fmea

    (GHz)fFDTD

    (GHz)

    error

    (%)

    fDWM

    (GHz)

    error

    (%)

    3.81 3.90 2.3 3.95 3.6

    N/A N/A N/A 4.26 N/A

    4.57 4.60 0.7 4.7 1.7

    Comparison between Theory and Measurement

    y

    112TE

    Reasonable agreement.

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    Field Distribution --- TE111y

    Electric field

    Magnetic field

    z

    2dx

    b

    x-z

    bx

    y

    a

    x-y

    Imaged DRA (gound plane removed) With gound plane

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    Field Distribution --- TE112y

    x-z

    bx

    y

    a

    x-yElectric field

    Magnetic field

    z

    2d x

    b

    Imaged DRA (gound plane removed)

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    Field Distribution --- TE113y

    x-zElectric field

    Magnetic field

    bx

    y

    a

    x-y

    z

    2dx

    b

    With gound planeImaged DRA (gound plane removed)

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    E (xz) - plane H (yz) - plane(+x)(-x) (-y) (+y)-40

    0o

    -30 -20-10 0

    30o

    30o

    60o

    60o

    90o

    90o

    -40 -30 -20-10 0

    0o

    30o

    30o

    60o

    60o

    90o

    90o

    E (xz) - plane H (yz) - plane(+x) (-y)(-x) (+y)

    -40 -30-20-10 0

    0o

    30o

    30o

    60o

    60o

    90o 90o

    -40 -30-20-10 0

    0o

    30o

    30o

    60o

    60o

    90o 90o

    f= 3.5 GHz

    f= 4.3 GHz

    Radiation Patterns

    Broadside radiation patterns are observed.

    Measured E-plane crosspolarized fields mainly caused by finite

    ground plane diffraction.

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    III. Circularly Polarized Design

    using a Parasitic Strip

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    Proposed Antenna Geometry

    a

    (mm)

    b

    (mm)

    d

    (mm)

    l1(mm)

    W1(mm)

    l2(mm)

    W2(mm)

    0(degree)

    r

    24 23.5 12.34 10 1 12 1 225.6 9.5

    W1

    l1

    ad

    b

    x

    y

    z

    Ground

    Plane

    Rectangular

    DRA

    Coaxial

    ApertureConducting

    Strip

    r

    C

    W2l2 Parasitic

    Patch

    (Center of

    Parasitic Patch)

    0

    Top

    ViewParasitic

    Patch

    Conducting

    Strip

    x

    y

    r

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    Input Impedance/S11

    Reasonable agreement.

    Bandwidth ~ 14%.

    Two nearly-degenerate TE111(y) modes are excited.

    CP operation

    2.5 3 3.5 4 4.5-25

    -20

    -15

    -10

    -5

    0

    |S11|(

    dB)

    Frequency (GHz)

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    Axial Ratio in the boresight direction

    3-dB AR bandwidth is ~ 2.7%, which is a typical value for

    a singly-fed CP DRA.

    3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8

    0

    5

    10

    15

    20

    AxialRat

    io(dB)

    Frequency (GHz)

    ExperimentTheory

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    The H field of the DRA without and with parasitic

    strip (Top view)

    Without parasitic strip - LP field With parasitic strip - CP field

    3.4 GHz 3.4 GHz

    Feeding strip Feeding strip

    Parasitic

    strip

    29

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    Radiation Patterns (f= 3.4GHz, )

    LHCP

    RHCP

    xz plane yz plane(+x)(-x) (-y) (+y)

    -40 -30 -20-10 0

    0o

    30o

    30o

    60o

    60o

    90o

    90o

    -40 -30 -20-10 0

    0o

    30o

    30o

    60o

    60o

    90o

    90o

    A broadside radiation mode is observed.

    For each radiation plane, the LHCP field is more than 20dB

    stronger than the RHCP field.

    The maximum gain is 5.7 dBic (not shown here).

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    Effects of feeding strip length l1

    Input impedance changes substantially with l1.

    AR is almost unchanged for different l1.

    l1 can be adjusted to match the impedance without changing AR.

    2.4 2.6 2.8 3 3.2 3.4 3.6 3.8 4 4.2-20

    -15

    -10

    -5

    0

    |S11|

    (dB)

    Frequency (GHz)

    l1 = 8 mm

    l1 = 10 mm

    l1 = 12 mm

    3.1 3.2 3.3 3.4 3.5 3.6 3.70

    5

    10

    15

    20

    AxialRa

    tio(dB)

    Frequency (GHz)

    l1 = 8 mm

    l1 = 10 mm

    l1 = 12 mm

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    II. Frequency Tuning Technique

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    The DRA for a paticular frequency may not be

    available from the comericial market.

    Fabrication tolerances cause errors betweenmeasured and calculated resonant frequencies.

    Frequency tuning methods:(i) loading-disk; and

    (ii) parasitic slot.

    Backgruond

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    Frequency Tuning Technique- using a loading disk

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    Side view Top view

    The slot-coupled DRA with a conducting loading

    cap

    d

    z

    Slot

    Hemispherical DRA

    Dielectric

    substrate rs

    microstrip

    line

    Lt

    Ground

    planeara

    xConducting

    Loading Cap

    Lt

    x

    y

    Ls

    Ws

    Hemispherical

    DRA

    microstrip

    line

    Slot

    Wf

    Conducting

    Loading Cap

    Hemispherical DRA: radius a= 12.5 mm, dielectric constant r

    = 9.5.

    Coupling slot : length L s , width WsOpen-circuit stub: length L

    t

    Grounded dielectric slab: rs

    = 2.33, height d= 1.57 mm

    Microstrip feedline: width Wf= 4.7 mm

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    Calculated and measured return losses

    (L s = 12 mm and Ws = 1 mm)

    3 3.2 3.4 3.6 3.8-70

    -60

    -50

    -40

    -30

    -20

    -10

    0

    Frequency (GHz)

    |S11|(dB) = 26.38

    Lt = 4.42 mm

    o

    = 52.8Lt= 13.6 mm

    o

    Theory

    Experiments

    Without cap (= 0 )Lt= 10.63mm

    o

    Resonance frequency:

    3.52 GHz without any conducting cap ( = 00), withLt = 4.42 mm

    3.25 GHz ( = 26.38o andLt = 4.42 mm)

    3.68 GHz ( = 52.8o andLt = 13.6 mm)

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    Calculated and measured radiation patterns

    -40 -30 -20 -10 0

    0

    30

    60

    0

    30

    60

    90o o

    o o

    o o

    o

    (a) (b)

    -40 -30 -20 -10 0

    0

    30

    60

    90

    30

    60

    90o o

    o o

    o o

    oCo-pol

    X-pol

    -40 -30 -20 -10 0

    0

    30

    60

    0

    30

    60

    90o o

    o o

    o o

    o

    (c)

    -40 -30 -20 -10 0

    0

    30

    60

    90

    30

    60

    90o o

    o o

    o o

    o

    (d)

    Co-pol

    X-pol

    3.58 GHz ( = 52.8o

    andLt = 13.6 mm)

    Reasonable agreement

    between theory andexperiment.

    The effect of loading

    cap on field pattern is not

    significant.

    3.25 GHz ( = 26.38o andLt = 4.42 mm)

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    Calculated and L t for having a good return loss

    (minimum |S11| < -20dB)

    3.2 3.3 3.4 3.5 3.6 3.70

    10

    20

    30

    40

    50

    60

    2

    4

    6

    8

    10

    12

    14

    16

    Tuning frequencyfr(GHz)

    Angle(d

    egree)

    StubLengthLt(mm)

    The resonant frequency can be tuned by varying and L t decreases from 26.38o to 0o(3.25

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    Impedance bandwidth

    The bandwidth decreases after a loading cap is added.

    3.2 3.3 3.4 3.5 3.6 3.7

    2

    4

    6

    8

    10

    Frequency (GHz)

    ImpedanceBandw

    idth(%)

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    Frequency Tuning Technique

    - using a parasitic slot

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    (a) Side view

    (b) Top view

    The annular-slot-excited cavity-backed DRA

    z

    x

    Hemispherical DRA

    Coaxial cable Parasitic slot

    a

    r

    metallic cavity b

    Ground plane

    WB WA

    Feeding slotrB

    rA

    Coaxial cable

    Hemispherical DRA Feeding slot

    a

    r

    metallic cavity

    b

    Parasitic slot

    A

    rA rBWB

    WA

    y

    x

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    IV. Omnidirectional CircularlyPolarized DRA

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    CP DRAs concentrated on broadside-mode designs only.

    Provide larger coverage.

    Advantages of omnidirectional CP antenna

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    Slotted omnidirectional CP DRA

    Design I:

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    Antenna configurations

    h

    wd

    a

    b

    Dielectric

    block

    x

    h

    g

    z

    Slot

    SMA connector

    w

    Probel

    12r

    Perspective view Front view

    Dielectric cube with oblique slots (polarizer) fabricated onits four sidewalls.

    Centrally fed by a coaxial probe extended from a SMAconnector, whose flange used as the small ground plane.

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    Wave polarizer

    h

    wd

    a

    b

    Dielectric

    block

    LP omnidirectional DRA

    Dielectric block

    Pol

    ariz

    er

    Dielectric block with the wave

    polarizer

    Proposed compact omnidirectional CP DRA

    x

    y

    z

    Dielectricslabs

    D

    E

    +

    Antenna principle

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    Prototype for 2.4 GHz WLAN design

    Top face and sidewalls Bottom face

    Design parameters

    r= 15, a = b = 39.4 mm, h = 33.4 mm, w = 9.4 mm,

    d =14.4 mm, r1= 0.63 mm, l= 12.4 mm,g= 12.7 mm

    Photographs of the prototype

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    Simulated and measured results

    Reflection coefficient

    Impedance bandwidth: AR bandwidth:Simulated: 20.3% (2.34-2.87 GHz) Simulated: 8.2% (2.34-2.54 GHz)Measured: 24.4% (2.30-2.94 GHz) Measured: 7.3% (2.39-2.57 GHz)

    Axial ratio

    2 2.2 2.4 2.6 2.8 3

    -30

    -20

    -10

    0

    Frequency (GHz)

    |S11| (dB)

    HFSS Simulation

    Experiment

    Axial Ratio (dB)

    HFSS Simulation

    Experiment

    2 2.2 2.4 2.6 2.8 30

    3

    6

    9

    Frequency (GHz)

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    Very good omnidirectional characteristic

    In the horizontal plane,LHCP fields > RHCP fields by~20 dB .

    Simulated and measured radiation patterns

    LHCP

    -40 -30 -20 -10 0

    30

    150

    60

    120

    9090

    120

    60

    150

    30

    180

    o

    o o

    o

    o o

    o o

    o o

    o

    dB

    xz-plane

    0o

    RHCP

    (+x)(-x)

    -40 -30 -20 -10 0

    30

    210

    60

    240

    90270

    120

    300

    150

    330

    180

    o

    o o

    o

    o o

    o o

    o o

    o

    dB

    xy-plane

    0o

    RHCP

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    Simulated and measured antenna gain

    2 2.2 2.4 2.6 2.8 3-3

    -2

    -1

    0

    1

    2

    3

    Frequency (GHz)

    Gain (dBic)

    HFSS Simulation

    Experiment

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    Wideband omnidirectional CP antennawith parasitic metallic strips

    Design II:

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    Perspective view Front view

    x

    h

    g

    z

    ls

    ws

    Slot

    Strip

    SMA connector

    w

    Probe

    Hollow circular

    cylinder

    l

    12r

    Four parasitic metallic strips are embedded in thelateral slots to enhance the AR bandwidth.

    The hollow circular cylinder is introduced to enhancethe impedance bandwidth.

    Antenna configurations

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    Photographs of the prototype

    Top face and sidewalls Bottom face

    Design parametersr= 15, a= b= 30 mm, h= 25 mm, r= 3 mm, w =7 mm, d =10.5 mm

    ls

    = 30.5 mm, ws

    = 1 mm, x0 = 6.4 mm, r1= 0.63 mm, l= 19 mm.

    Prototype for 3.4 GHz WiMAX design

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    Overlapping bandwidth: 22.0%; bandwidth widened by ~3 times.

    Simulated and measured reflection

    coefficient and axial ratio

    Axial Ratio (dB)

    2.8 3.2 3.6 4-30

    -20

    -10

    0

    Frequency (GHz)

    |S11| (dB)

    HFSS Simulation

    Experiment

    2.8 3.2 3.6 40

    6

    12

    18

    Frequency (GHz)

    Impedance bandwidth:Simulated: 22.3% (3.11-3.89 GHz)Measured: 24.5% (3.08-3.94 GHz)

    AR bandwidth:Simulated: 24.8% (3.11-3.99 GHz)Measured: 25.4% (3.16-4.08 GHz)

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    Measured gain: wider bandwidth.

    Measured antenna efficiency: 84-98% (3.1-3.9 GHz).

    Antenna gain

    Simulated and measured results

    Radiation efficiency

    Gain (dBic)

    HFSS Simulation

    Experiment

    2.8 3.2 3.6 4-4

    -3

    -2

    -1

    0

    1

    2

    3

    Frequency (GHz)2.8 3.2 3.6 40

    0.2

    0.4

    0.6

    0.8

    1

    Frequency (GHz)

    Efficiency

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    3.4 GHz 3.8GHz

    LHCP fields > RHCP fields by more than 15 dB in horizontal plane. Stableradiation patterns across the entire passband (3.13.9 GHz).

    LHCP

    -40 - 30 - 20 -10 0

    30

    210

    60

    240

    90270

    120

    300

    150

    330

    180

    o

    o o

    o

    o o

    o o

    o o

    o

    dB

    xy-plane

    0o

    RHCP

    -40 - 30 - 20 -10 0

    30

    150

    60

    120

    9090

    120

    60

    150

    30

    180

    o o

    o o

    o o

    o o

    o o

    o

    dB

    xz-plane

    0o

    RHCP

    (+x)(-x)

    -40 -30 -20 -10 0

    30

    150

    60

    120

    9090

    120

    60

    150

    30

    180

    o

    o o

    o

    o o

    o o

    o o

    o

    dB

    xz-plane

    0oLHCP

    RHCP

    (+x)(-x)

    -40 -30 -20 -10 0

    30

    210

    60

    240

    90270

    120

    300

    150

    330

    180

    o

    o o

    o

    o o

    o o

    o o

    o

    dB

    xy-plane

    0o

    RHCP

    Simulated and measured radiation patterns

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    V. Dualband & Wideband DRAs

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    (i) Rectangular DRA

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    Dualband and wideband antennas are extensively used

    (e.g., WLAN)

    Multi-element DRA [1]

    - requiring more DR elements and space

    Hybrid slot-DRA [2]

    - coupling slot used as the feed and antenna

    - inflexible in matching the impedance

    [1] Petosa, N. Simons, R. Siushansian, A. Ittipiboon and C. Michel, Design and analysis of

    multisegmentdielectric resonator antennas, IEEE Trans. AP, vol.48, pp.738-742, 2000.

    [2] Buerkle, K. Sarabandi, and H. Mosallaei, Compact slot and dielectric resonator antenna with

    dual-resonance, broadband characteristics,IEEE Trans. AP, vol. 53, pp.1020-1027, 1983.

    Background

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    Wideband DRA [1]

    Dualband DRA [2]

    Trial-and-error approach is normally used

    Systematic design approach is desirable[1] B. Li and K. W. Leung, Strip-fed rectangular dielectric resonator antennas with/without a

    parasitic patch,IEEE Trans. Antennas Propagat., vol.53, pp.2200-2207, Jul.2005.

    [2] T. H. Chang and J. F. Kiang, Dual-band split dielectric resonator antenna, IEEE Trans.

    Antennas Propagat., vol.55, no.11, pp.3155-3162, Nov.2007.

    Use of higher-order DRA

    mode

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    Design Formulas for Dual-Mode rectangular DRA

    yTE111yTE112

    yTE113

    The E-field should vanish on the PEC and the TE112 mode

    cannot be excited properly.

    The TE111 mode and TE113 mode are used in the dual-

    mode design.

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    x

    y

    z

    b

    a

    d

    Ground plane

    Rectangular DRAr

    Formula Derivation

    The wavenumbers kx1,x2 and

    kz1,z2 can be written as follows:

    akk xx

    21

    dkz

    21

    dkz

    2

    32

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    From the DWM model, the frequenciesf1,f2 are given by:

    2

    2,1

    2

    2,1

    2

    2,12,1 2 zzyyxxr

    kkkc

    f

    2

    2,1

    2

    2,1

    2

    2,12,1 zzxxyy kkkk

    in which are wavenumbers in the

    dielectric, with c being the speed of light in vacuum.

    where

    cfk r /2 2,12,1

    (*)

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    64

    dkkd 2122

    2

    )96.3(

    22

    21

    1

    2

    32.10

    9

    32.10 ff

    kka

    21 35.065.0 bbb

    Engineering Formulas for the DRA dimensions

    2

    1

    23

    1

    24

    1

    2 4422.113209.21393.0f

    f

    f

    f

    f

    fd

    3

    1

    2 104437.184984.23

    f

    f(m)

    11

    1tan2

    2

    2,1

    2,11

    2,1

    2,1

    yyryy k

    k

    kb

    where

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    65

    )96.3(

    22

    21

    1

    2

    32.10

    9

    32.10 ff

    kka

    Limit of frequency ratio f2/f1

    From

    3k1 > k2 or 3f1 >f2We have

    giving

    f2/f1 < 3

    which is the theoretical limit that is not known before.

    09 2221 dkk

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    1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.80

    1

    2

    3

    4

    5r

    10r

    30r

    70r

    Error of (%)1f

    f f2 1/

    Compared with DWM results, errors off1, f2 are both

    less than 2.5% for 1

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    67

    A. Example for Dual-band Rectangular DRA Design

    a = 20.8 mm, b = 10.5 mm, and d= 18.5 mm.

    Given:f1 = 3.47 GHz (WiMAX)

    f2 = 5.2 GHz (WLAN), r=10

    Using dual-mode

    formulas

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    Configuration of the dualband DRA

    b

    ad

    Ground plane

    Microstripline

    Coupling

    slot

    LSW

    L

    Wf

    h

    Substraters

    Rectangular

    DRAr

    z

    y

    x

    W= 2.6 mm,L =10.6 mm,Ls=7.2 mm, Wf=1.94 mm,

    h=0.762mm, rs= 2.93

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    69

    Measured and simulated reflection coefficients

    Measured bandwidths:

    Lower band: 15% (3.25-3.78 GHz) covering WiMAX (3.4-3.7 GHz).

    Upper band: 8.3% (5.03-5.47 GHz) covering WLAN (5.15-5.35 GHz).

    3.2 3.6 4 4.4 4.8 5.2 5.6-40

    -30

    -20

    -10

    0

    HFSS Simulation

    Measurement

    Frequency (GHz)

    Reflection coefficient |S | (dB)11

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    COMPARISON OF DESIGN, SIMULATED, AND MEASURED

    RESONANCE FREQUENCIES OF TE111y AND TE113

    y MODES

    Resonant

    Mode

    Measured

    frequency

    (GHz)

    Design

    frequency

    Simulated HFSS

    frequency

    f1,2(GHz)

    Error(%)

    fHFSS(GHz)

    Error(%)

    TE111y 3.40 3.47 2.05 3.47 2.05

    TE113y

    5.18 5.30 2.32 5.24 1.15

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    TE111y mode: measured (3.40 GHz), simulated (3.47 GHz).

    Broadside radiation patterns are observed for both planes.

    Co-polarized fields > cross-polarized fields by more than 20 dB in

    the boresight direction.

    Measured and simulated radiation patterns

    -40 -30 -20 -10 0

    30

    150

    60

    120

    9090

    120

    60

    150

    30

    180

    0oo

    o o

    o

    o o

    o o

    o o

    o

    dB

    9090

    150

    180

    o

    o

    o

    o

    o

    dB

    -40 -30 -20 -10 0

    30

    150

    60

    90

    120

    60

    150

    30

    180

    0 oo o

    o o

    o o

    o o

    o o

    o

    dB

    (a)

    Simulation

    H-plane (y-z plane)

    Measurement

    E-plane (x-z plane)

    -x

    120

    Co-pol

    Cross-pol

    Co-pol

    Cross-pol

    +x -y +y

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    72

    Measured and simulated radiation patterns

    TE113y mode: measured (5.18 GHz), simulated (5.24 GHz).

    Broadside radiation patterns are observed for both planes.

    Co-polarized fields > cross-polarized fields by more than 20 dB in

    the boresight direction.

    -40 -30 -20 -10 0

    30

    150

    60

    120

    9090

    120

    60

    150

    30

    180

    0oo

    o o

    o

    o o

    o o

    o o

    o

    dB

    9090

    150

    180

    o

    o

    o

    o

    o

    dB

    -40 -30 -20 -10 0

    30

    150

    60

    90

    120

    60

    150

    300 oo o

    o o

    o o

    o o

    o o

    o

    dB

    (b)

    120

    180o180o

    Simulation

    H-plane (y-z plane)

    Measurement

    E-plane (x-z plane)

    -x +x -y +y

    Co-polCo-polCross-pol Cross-pol

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    TE111y mode: Maximum gain of 4.02 dBi at 3.48 GHz.

    TE113y mode: Maximum gain of 7.52 dBi at 5.13 GHz.

    Electrically larger antenna has a higher antenna gain.

    Measured antenna gain

    3 3.5 4 4.5 5 5.5 6-5

    0

    5

    10Gain (dBi)

    Frequency (GHz)

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    B. Example for Wideband DRA Design

    a = 30.7 mm, b = 24.7 mm, and d= 47.7 mm.

    Given:f1 = 1.98 GHz (PCS)

    f2 = 2.48 GHz (WLAN), r=10

    Using formulas fordual-mode

    rectangular DRA

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    Configuration of the wideband DRA

    b

    Conducting

    feeding strip

    Coaxial

    aperture

    a

    dW

    l

    Ground plane

    Rectangular

    DRArx

    y

    z

    l= 17 mm, W= 1 mm

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    Measured and simulated reflection coefficients

    Measured bandwidths : 30.9% (1.83-2.50 GHz)

    PCS (1.85-1.99 GHz), UMTS (1.99-2.20 GHz)

    & WLAN (2.4-2.48 GHz)

    1.5 2 2.5 3-40

    -30

    -20

    -10

    0

    HFSS Simulation

    Measurement

    Reflection coefficient |S | (dB)11

    Frequency (GHz)

    Measured and simulated radiation patterns

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    Measured and simulated radiation patterns

    Measured (2.16 GHz), simulated (2.11 GHz).

    Broadside radiation patterns are observed.

    Co-polarized fields > cross-polarized fields

    by more than 20 dB in the boresight direction.

    -40 -30 -20 -10 0

    30

    150

    60

    120

    9090

    120

    60

    150

    30

    180

    0o

    o

    o o

    o

    o o

    o o

    o o

    o

    dB

    9090

    150

    180

    o

    o

    o

    o

    o

    dB

    -40 -30 -20 -10 0

    30

    150

    60

    90

    120

    60

    150

    30

    180

    0o

    o o

    o o

    o o

    o o

    o o

    o

    dB

    120

    Simulation

    H-plane (y-z plane)

    Measurement

    E-plane (x-z plane)

    -x +x -y +y

    Co-pol Co-pol

    Cross-pol Cross-pol

    (a)

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    78

    Measured and simulated radiation patterns

    Measured (2.41 GHz), simulated (2.46 GHz).

    Broadside radiation patterns are observed.

    Co-polarized fields > cross-polarized fields by more

    than 20 dB in the boresight direction.

    -40 -30 -20 -10 0

    30

    -150

    60

    -120

    90-90

    120

    -60

    150

    -30

    180

    0o

    o

    o o

    o

    o o

    o o

    o o

    o

    dB

    90-90

    150

    180

    o

    o

    o

    o

    o

    dB

    -40 -30 -20 -10 0

    30

    -150

    60

    90

    120

    -60

    150

    -30

    180

    0o

    o o

    o o

    o o

    o o

    o o

    o

    dB

    H-plane (y-z plane)

    Measurement

    E-plane (x-z plane)

    Simulation

    Co-pol Co-polCross-pol Cross-pol

    (b)

    -x +x -y +y

    M d t i

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    79

    Measured antenna gain

    The maximum gain of 6.98 dBi at 2.47GHz.

    TE113y -mode gain > TE111

    y -mode gain.

    1.6 1.8 2 2.2 2.4 2.6 2.80

    2

    4

    6

    8

    Frequency (GHz)

    Gain (dBi)

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    (ii) Cylindrical DRA

    R f f th HEM d f th li d i l DRA

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    2

    0

    22

    irzii kkk Ground plane

    z

    a

    Cylindrical

    DRA

    h

    r

    ki & kzi :dielectric wavenumbers along the &zdirections

    k0i = 2fi/c : wavenumber in air

    (1)

    Resonance frequency of the HEMmnrmode of the cylindrical DRA

    i = 1, 2 forf1,f2

    f1 : HEM111 mode frequencyf2 : HEM113 mode frequency

    R f f h HEM d f h li d i l DRA

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    z

    x

    y

    r

    a

    Infinitedielectric rod

    Resonance frequency of the HEMmnrmode of the cylindrical DRA

    Fork:

    220)1(' iiri kkk

    where

    is the radial wavenumber outside the

    dielectric rod

    Jm(x) : Bessel function of the first kind

    Km(x): modified Bessel function of the second kind.

    (2)

    (3)

    D. Kajfez and P. Guillon, Dielectric resonators, Norwood, MA, Artech House, Inc., 1986.

    24

    22222

    )'(

    )')('(

    '

    ''

    '

    1

    )(

    '

    '

    ''

    '

    1

    )(

    '1

    akk

    kkkkm

    akK

    akK

    kakJ

    akJ

    kakK

    akK

    kakJ

    akJ

    k

    ii

    iriii

    im

    im

    iim

    im

    i

    r

    im

    im

    iim

    im

    i

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    h

    z

    r

    Infinite dielectric

    slab

    zi

    ziirr

    i

    zi

    k

    kk

    p

    hk22

    01 )1(tan

    Forkz: approximated by the

    TM01-mode wavenumber

    Resonance frequency of cylindrical DRA

    (i = 1, 2 forf1,f2)

    wherep1 = 1 andp2 = 3

    correspond to the HEM111 andHEM113 modes, respectively.

    (4)

    R. K. Mongia and P. Bhartia, Dielectric resonator antennas- a review and general design relations for

    resonant frequency bandwidth,International Journal of Microwave and Millimeter-Wave Computer-

    Aided Engineering, vol. 4, no. 3, pp 230-247, 1994.

    Design formula of ratio h/a for given f f and

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    84

    4

    1

    44

    1

    2

    1

    i

    i

    i

    f

    fBi

    i

    rr

    S D

    Ce

    AE

    a

    hi

    0

    0

    0

    4444

    3333

    2222

    1111

    DCBA

    DCBA

    DCBA

    EDCBA s

    =

    0996.1982.3162.123.19

    02.160713.4511.115.36

    07.3682402.42.6253.680

    11650034800937.0234.07.489

    (1)

    f1 : HEM111 mode frequency (lower band)

    f2 : HEM113 mode frequency (upper band)Ground plane

    z

    a

    Cylindrical

    DRA

    h

    r

    Design formula of ratio h/afor given f1, f2, and r

    Using the covariance matrix adaptation

    evolutionary strategy again,

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    85

    i

    i

    a

    hBi

    ii

    rr

    S D

    Ce

    AE

    fa

    i

    4

    1

    44

    1r

    1

    2

    c

    0

    0

    0

    4444

    3333

    2222

    1111

    DCBA

    DCBA

    DCBA

    EDCBA s

    0057.0114.6659.5429.4

    0814.179764.00368.0152.0

    01.3049973.0005.00571.0

    109328.310700152.0751.1109.1

    =

    (2)

    Design formula of radius a

    Radius a can be found by inserting h/a into (2) below:

    Aftera isfound, h can be determined from h/a.

    Maximum error ofa: 2.1% for 1 h/a 3.5, 9 r 27

    Maximum error ofh: 3.0% for 1.28 h/a 1.85, 9 r 27

    A f i i A i

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    A. Example for dualband cylindrical DRA design

    a = 17.9 mm & h = 42.5 mm

    Given:f1 = 1.71 GHz (DCS:1.71- 1.88 GHz)

    f2 = 2.4 GHz (WLAN:2.4 - 2.48 GHz),

    r=9.4

    Using formulas

    (1) & (2)

    C fi i f h d lb d LP DRA

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    Matching slotExcitation

    stripVia

    x

    y

    Cylindrical

    DRAra

    Aperture

    Feedline

    Ground plane

    Wf

    WsDsLs

    a

    h

    x

    z Cylindrical

    DRAr

    Matching slotVia

    Feedline

    d

    Ground planeAperture

    for via

    Excitation strip

    w

    l

    Configuration of the dualband LP DRA

    Top view Side view

    a = 18.7 mm, h = 42.5 mm, r= 9.4, l= 12.5 mm, w = 1 mm,

    Ls = 20 mm, Ws = 1.5 mm, andDs = 12.75 mm.

    Radius a has been slightly increased to reduce the merging effect

    M d d Si l t d R fl ti ffi i t

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    1.6 1.8 2 2.2 2.4 2.6-30

    -20

    -10

    0

    Frequency (GHz)

    HFSS Simulation

    Measurement

    Reflection Coefficient |S11| (dB)

    Measured and Simulated Reflection coefficients

    Reasonable agreement

    Lower band impedance bandwidth: 15.5% (1.70-2.00 GHz)

    Upper band impedance bandwidth: 3.7% (2.39-2.48 GHz)

    M d d i l t d di ti tt

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    89

    oo

    -40 -30 -20 -10 0

    30

    150

    60

    120

    9090

    120

    60

    150

    30

    180

    o

    o o

    o

    o o

    o o

    o o

    o

    dB

    9090

    150

    180

    o

    o

    o

    o

    dB

    -40 -30 -20 -10 0

    30

    150

    60

    90

    120

    60

    150

    30

    180

    o o

    o o

    o

    o o

    o o

    o

    dB

    120

    Col-pol

    Cross-polCross-pol

    Simulation

    H-plane (y-z plane)

    Measurement

    E-plane (x-z plane)

    -x +x -y +y

    0o 0o

    -40 -30 -20 -10 0

    30

    150

    60

    120

    9090

    120

    60

    150

    30

    180

    o

    o o

    o

    o o

    o o

    o o

    o

    dB

    9090

    150

    180

    o

    o

    o

    o

    o

    dB

    -40 -30 -20 -10 0

    30

    150

    60

    90

    120

    60

    150

    30

    180

    o o

    o o

    o o

    o o

    o o

    o

    dB

    120

    Col-pol

    Cross-pol

    Cross-pol

    Simulation

    H-plane (y-z plane)

    Measurement

    E-plane (x-z plane)

    -x +x -y +y

    0o 0o

    Measured and simulated radiation patterns

    HEM111 mode: measured (1.8 GHz), simulated (1.8 GHz)

    HEM113 mode: measured (2.42 GHz), simulated (2.45 GHz)

    (a) (b)

    Broadside radiation patterns are observed.

    Co-polarized fields > cross-polarized fields by more than 20 dB in the

    boresight direction.

    M d d i l t d i

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    90

    1.6 1.65 1.7 1.75 1.8 1.85 1.90

    2

    4

    6

    Frequency (GHz)

    Lower band gain (dBi)

    HFSS Simulation

    Measurement

    Frequency (GHz)

    Upper band gain (dBi)

    2.3 2.35 2.4 2.45 2.5 2.550

    2

    4

    6

    8

    1010

    8

    6

    42

    02.3 2.35 2.52.4 2.45 2.55

    Measured and simulated gain

    HEM111 mode: Maximum measured gain of ~6 dBi (1.75 GHz)

    HEM113 mode: Maximum measured gain of ~ 8 dBi (2.43 GHz)

    D lb d CP DRA

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    L2

    L3

    L1W2

    W0

    WS

    W3 W1

    LS

    DS

    Input port

    Via

    Cylindrical

    DRAr

    x

    ya

    quadrature

    coupler

    Dualband

    grounding

    via

    To

    planeGround

    portIsolation

    slotMatching

    stripExcitation

    viaTo grounding

    Dualband CP DRA

    a = 18.7 mm, h = 42.5 mm, r= 9.4, l= 12.5 mm, w = 1 mm,Ls = 21 mm, Ws = 1.5 mm,Ds =

    12.75 mm, L1 = 26.9 mm,L2 =26.5 mm,L3 = 56.65 mm, W0 = 4.66 mm, W1 = 7.3 mm, W2 =

    4.44 mm, and W3 = 0.46 mm.

    a

    h

    x

    z Cylindrical

    DRAr

    Matching slotVia

    Feedline

    d

    Ground planeAperturefor via

    Excitation strip

    w

    l

    Top view Side view

    M d d i l t d fl ti ffi i t

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    1.6 1.8 2 2.2 2.4 2.6-40

    -30

    -20

    -10

    0

    Reflection Coefficient |S11| (dB)

    Frequency (GHz)

    HFSS Simulation

    Measurement

    Reasonable agreement

    Lower band bandwidth:18.9% (1.58-1.91 GHz).

    Upper band bandwidth:7.8% (2.33-2.52 GHz).

    Measured and simulated reflection coefficients

    M d d i l t d i l ti (AR )

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    1.6 1.65 1.7 1.75 1.8 1.85 1.90

    2

    4

    6

    8

    10 Lower band AR (dB)

    Frequency (GHz)

    HFSS Simulation

    Measurement

    Upper band AR (dB)

    Frequency (GHz)

    2.3 2.4 2.50

    2

    4

    6

    88

    6

    4

    2

    02.3 2.4 2.5

    Measured and simulated axial ratios (ARs)

    Reasonable agreement

    Lower band AR bandwidth: 12.4% (1.67-1.89 GHz)

    Upper band AR bandwidth: 7.4% (2.34-2.52GHz)

    M d d i l t d di ti tt

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    94

    -40 -30 -20 -10 0

    30

    150

    60

    120

    9090

    120

    60

    150

    30

    180

    o

    o o

    o

    o o

    o

    o

    o o

    o

    dB

    9090

    150

    180

    o

    o

    o

    o

    o

    dB

    -40 -30 -20 -10 0

    30

    150

    60

    90

    120

    60

    150

    30

    180

    o o

    o o

    o o

    o o

    o o

    o

    dB

    120

    LHCP

    RHCP RHCP

    Simulation

    H-plane (y-z plane)

    Measurement

    E-plane (x-z plane)

    -x +x -y +y

    0o 0o

    -40 -30 -20 -10 0

    30

    150

    60

    120

    9090

    120

    60

    150

    30

    180

    o

    o o

    o

    o o

    o

    o

    o o

    o

    dB

    9090

    150

    180

    o

    o

    o

    o

    o

    dB

    -40 -30 -20 -10 0

    30

    150

    60

    90

    120

    60

    150

    30

    180

    o o

    o o

    o o

    oo

    o o

    o

    dB

    120

    RHCP

    LHCP

    RHCP

    Simulation

    H-plane (y-z plane)

    Measurement

    E-plane (x-z plane)

    -x +x -y +y

    0o 0o

    Measured and simulated radiation patterns

    (a) (b)

    HEM111 mode: measured (1.8 GHz), simulated (1.8 GHz)

    HEM113 mode: measured (2.42 GHz), simulated (2.45 GHz)

    Broadside radiation patterns are observed.

    LHCP fields > RHCP fields by ~20 dB in the boresight direction.

    B Example for wideband cylidnrical DRA design

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    95

    B. Example for wideband cylidnrical DRA design

    a = 10.3 mm & h = 34.3 mm

    Given:f1 = 2.90 GHz,f2 = 3.72 GHz, r= 9.4

    Using formula(5) & (6)

    Wideband LP cylindrical DRA

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    CylindricalDRAr

    Conducting

    feeding stripCoaxial

    aperture

    l

    w h

    a

    Ground plane

    z

    x

    y

    2.8 3 3.2 3.4 3.6 3.8 4 4.2-40

    -30

    -20

    -10

    0Reflection Coefficient |S11| (dB)

    Frequency (GHz)

    HFSS Simulation

    Measurement

    Configuration Reflection coefficient

    a = 10.3 mm, h = 34.3 mm, r= 9.4,

    l= 12 mm, and w = 1 mm.

    Good agreement

    Measured impedance bandwidth:

    23.5% (3-3.8 GHz)

    Wideband LP cylindrical DRA

    Measured and simulated gain

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    3 3.2 3.4 3.6 3.8 40

    2

    4

    6

    8

    10

    12

    Frequency (GHz)

    Antenna Gain (dBi)

    HFSS Simulation

    Measurement

    Measured and simulated gain

    HEM111 mode: Maximum measured gain of ~7 dBi (3.29 GHz)

    HEM113 mode: Maximum measured gain of ~10 dBi (3.83 GHz)

    Wideband CP cylindrical DRA

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    98

    L1

    L1W0

    W0

    W1

    Input port

    Excitation

    strip

    Isolation

    port

    Ground

    plane

    via

    Excitation strip

    Cylindrical

    DRAr

    Widebandquadraturecoupler

    via

    x

    ya

    a

    h

    x

    z Cylindrical

    DRAr

    Via

    d

    Ground planeAperturefor via

    Excitation strip

    w

    l

    Wideband quadrature coupler

    a = 10.3 mm, h = 34.3 mm, r= 9.4, l= 11.5 mm, w = 1 mm,

    L1 = 14.67 mm, W0 = 1.94 mm, and W1 = 3.21 mm.

    Wideband CP cylindrical DRA

    Top view Side view

    Wideband CP DRA

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    3 3.2 3.4 3.6 3.8 4

    -30

    -20

    -10

    0

    Frequency (GHz)

    Reflection Coefficient |S11| (dB)

    HFSS Simulation

    Measurement

    3 3.2 3.4 3.6 3.8 40

    2

    4

    6

    8

    Fre uenc (GHz

    Axial ratio (dB)

    HFSS Simulation

    Measurement

    Measured 3-dB AR bandwidth :

    24.7% (3.05-3.91 GHz).

    Measured impedance bandwidth:

    25.5% (3.04-3.93 GHz).

    Wideband CP DRA

    Reflection coefficient Axial ratio

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    VI. Dualfunction DRAs

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    101

    AdvantageSystem size and cost can be reduced by

    using dualfunction DRAs.

    Additional functions

    - Packaging cover- Oscillator

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    102

    Packaging Cover

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    103

    Conventional

    Aperture Metallic supports

    for grounding

    Dielectric resonatorantenna/oscillatorload and packagingcover

    Metal ground

    Power supply

    z

    y

    Front view

    hH

    Microstrip

    feedline

    d

    Transistor (other

    RF components

    not shown)

    Proposal

    Antenna Configuration

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    Antenna Configuration

    Aperture

    Feedline and the

    RF/MIC circuits

    Metal ground

    Coaxial line

    Dielectric resonator antenna

    and packaging coverMetallic supportsfor grounding

    H

    hy

    z

    Side view

    Coaxial

    x

    yMicrostrip

    feedline

    Aperture

    L

    W

    a

    b

    Top view

    Resonant frequencyf0 = 2.4GHz

    Parameters:

    Hollow DRA:

    L=30mm, W=29mm,

    H=15mm, & r=12

    Metallic Cavity:

    a = 15mm, b = 21.6mm, h = 5mmTop face : Duroid r=2.94

    thickness 0.762mm

    Aperture: 0.2063 e

    Design Procedure (Simulation):

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    Design Procedure (Simulation):

    Step 2Remove the lower center

    portion concentrically to

    form a notched DRA.

    As a result, the resonant

    frequency >2.4GHz

    Step 3Cover the two sides with thesame material. Move the

    frequency back to 2.4GHz

    by increasing the thickness.

    (thickness f0 )

    Step 1Use the DWM to design

    a solid rectangular DRA

    at 2.4-GHz fundamental

    TE111 Mode.

    x

    z

    Experimental Verification:

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    106

    Experimental Verification:

    - Hard-clad foam (r1) is used to form the

    container.

    - ECCOSTOCK HiK Powder ofr=12 is used as

    the dielectric material.

    Return Loss and Input Impedance

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    2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3

    Frequency (GHz)

    -60

    -50

    -40

    -30

    -20

    -10

    0

    Return

    Loss(dB)

    Theory

    Experiment

    2 2.1 2.2 2 .3 2.4 2 .5 2.6 2 .7 2.8 2 .9 3

    Frequency (GHz)

    -60

    -40

    -20

    0

    20

    40

    60

    80

    InputImpedance(ohm)

    (Passive hollow RDRA with a metallic cavity)

    Good agreement.

    Bandwidth ~ 5.6%.

    Measured resonance frequency: 2.42GHz (error < 0.83%)

    Radiation Patterns

    (P i h ll DRA ith t lli it )

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    108

    -40 -30 -20 -10 0

    30

    -150

    60

    -120

    90-90

    120

    -60

    150

    -30

    180

    0

    co-pol

    cross-pol

    -40 -30 -20 -10 0

    30

    -150

    60

    -120

    90-90

    120

    -60

    150

    -30

    180

    0

    cross-pol

    co-pol

    Theory

    Experiment

    (a) (b)

    x-z plane y-z plane

    (Passive hollow DRA with a metallic cavity)

    Broadside TE111y

    mode is observed.

    Co-polarized fields generally stronger than the cross-

    polarized fields by 20dBin the boresight direction.

    Return Loss of the Active Integrated Antenna

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    2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3

    Frequency (GHz)

    -40

    -30

    -20

    -10

    0

    ReturnLoss(dB)

    A A

    DRA DRA

    ReturnLoss

    ReturnLoss

    Receiver Transmitter

    DRA (passive)

    DRA (active, receiver)

    DRA (active, transmitter)

    Return Loss of the Active Integrated Antenna

    Integrated with Agilent AG302-86 low noise amplifier (LNA)(gain of 13.6dB at 2.4GHz)

    LNA prematched to 50 at the input.

    A small hole is drilled on the ground plane to supply the DC bias to the LNA.

    Amplified Radiation Pattern

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    110

    -180 -120 -60 0 60 120 180

    Observation angle (degree)

    -80

    -70

    -60

    -50

    -40

    -30

    -20

    -10

    0

    Amp

    litude(dB)

    co-pol (passive)

    co-pol (active)

    cross-pol (passive)

    cross-pol (active)

    Amplified Radiation Pattern

    Compared to the passive DRA,the active DRA has a gain of

    7 - 12dB across the observation angle from -90o to 90o.

    The gain is less than the specification due to unavoidable

    impedance variations and imperfections in the measurement.

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    Dielectric Resonator Antenna

    Oscillator (DRAO)

    Methodology

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    112

    The DRA is used as the oscillator load,

    named as DRAO.

    Methodology

    The reflection amplifier method is used to

    design the antenna oscillator.

    DRAO Schematic Diagram

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    113

    DRAjXZin=Rin+X in

    Lm

    Transistor

    C

    ZL=RL+XL

    DRAO Schematic Diagram

    - Oscillate condition:XL+Xin=0 &RL

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    114

    L

    w

    Top view

    Microstrip

    feedlineAperture

    y

    x

    Lm Ls

    La

    Wa

    Transistor (other

    RF components

    not shown)

    fo = 1.85GHz at TE111y

    Parameters:DRA

    L=52.2mm,

    W=42.4mm,

    H=26.1mm,

    r= 6.

    Aperture

    La = 0.3561e, Wa = 2mm

    Ls = 9.5 mm, Lm = 40 mm.

    Duroid substrate

    rs=2.94, d=0.762mm

    antenna and

    oscillating load

    Microstrip

    feedline Aperture

    Ground

    L

    H

    z

    x

    Substrate

    Side view

    d

    Transistor (other

    RF components

    not shown)

    r

    Return Loss and Input Impedance

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    Return Loss and Input Impedance

    Good agreement.

    Bandwidth ~ 22.14%.

    Resonance frequency: Measured 1.86GHz

    Simulated 1.83GHz (1.5% error).

    1.6 1.7 1.8 1.9 2 2.1 2.2-60

    -50

    -40

    -30

    -20

    -10

    0

    Frequency (GHz)

    Return Loss (dB)

    HFSS Simulation

    Experiment1.6 1.7 1.8 1.9 2 2.1

    -80

    -60

    -40

    -20

    0

    20

    40

    60

    80

    Frequency (GHz)

    Input Impedance (ohms)

    Spectrum of the Free-running DRAO

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    116

    p g

    Transmitting powerPt= 16.4dBm

    DC-RF efficiency: ~ 13% (2-25% in the literature).

    Phase noise: 103dBc/Hz at 5MHz offset

    Second harmonic < fundamental by 22dB

    Radiation Pattern

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    117

    Broadside TE111y

    is observed.

    Co-polarized fields are generally 20dB stronger

    than the cross-polarized fields in the boresight direction.

    Solid DRAO (measur.)

    Passive Solid DRA (measur.)

    HFSS Simulation

    -40 -30 -20 -10 0

    30

    60

    9090

    120

    150

    -30

    180

    0

    -60

    -120

    -150

    co-pol

    cross-pol

    x-z plane

    (a)

    -40 -30 - 20 -10 0

    30

    60

    90-90

    120

    150

    -30

    180

    0

    -60

    -120

    -150

    y-z plane

    (b)

    co-pol

    cross-pol

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    118

    DRA can be of any shape. Can it be made like a swan?

    Yes!

    DRA is simple made of dielectric. Can glass be used forthe dielectric?

    It leads to probably the most beautiful antenna in

    the world .

    Yes!

    Glass-Swan DRA

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    Glass Swan DRA

    Distinguished Lecture

    Transparent antennas: From 2D to 3D119

    Conclusion

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    120

    The DRA can be easily excited with various excitation schemes.

    Frequency tuning of the DRA can be achieved by using

    a loading-disk or parasitic slot.

    The dualband and wideband DRAs can be easily designed using

    higher-order modes.

    Compact omnidirectional CP DRAs have been presented

    Dualfuncton DRAs for packaging and oscillator designs have

    been demonstrated.

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    Q & A