Development of Dielectric Resonator Antenna...

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Development of Dielectric Resonator Antenna (DRA)Development of Dielectric Resonator Antenna (DRA)

K. W. LeungState Key Laboratory of Millimeter Waves &

Department of Electronic Engineering,City University of Hong Kong

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

3

• The DRA is an antenna that makes use of a radiating mode of 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) ?

4

Some DRs :

5

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%)

6

Excitation schemes

Ground plane

Dielectric substrate

DRAMicrostripfeed line

(i) Microstrip line feed

7

Ground plane

Microstripfeed line

FeedSubstrate

DRA

Slot

(ii) Aperture-couple feed

Excitation schemes

8

Ground plane

Coaxial probe

DRA

(iii) Coaxial feed

Excitation schemes

9

Bottom viewTop view

Coaxial feed

10

Bottom view Top view

Aperture-coupled feed

11

Slot-fed DRA array using corporate microstrip feed network

Corporate feedline for DRA array

12

Conformal-Strip Method

Ground plane

HemisphericalDRA

Conducting conformal strip

la

W

Rectangular Dielectric Resonator Antennas

Rectangular Dielectric Resonator Antennas

14

Proposed Antenna Geometry

W1

l1

a

d

b

x

y

zGroundPlane

RectangularDRA

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

Resonant frequency of TEmnl(y) mode

Analytical Solution

• Dielectric Waveguide Model (DWM)

2220 2 zyx

r

kkkcf

dlk

bnk

amk zyx 2

,,

20

222 kkkk rzyx

16

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

17

Baseband Gaussian pulse

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

0

011

)()(

ZZZZS

tIFFTtVFFTZ

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

18

Uniform Cartesian grids

T = 0.083ns, t0 = 3T

10-cell-thick PML with polynomial spatial scaling (m = 4 and κmax = 1)

total grid size : 80∆x × 110∆y × 112∆z

total time steps : 10000

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

Parameters

19

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)|S

11|(d

B)

Inpu

t Im

peda

nce

(ohm

)

ExperimentTheory

Resistance

Reactance

Input Impedance/S11

• Reasonable agreement.• Wide Bandwidth of ~ 43%.• Dual resonant TE111

y and TE113y modes are excited.

20

y111TE

y113TE

Resonant Modes

Measured resonant

frequencies

Calculated resonant frequencies (FDTD)

Predicted resonant frequencies (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

y112TE

• Reasonable agreement.

21

Field Distribution --- TE111y

Electric fieldMagnetic field

z

2d x

bx-z

b x

y

a

x-y

Imaged DRA (gound plane removed) With gound plane

22

Field Distribution --- TE112y

x-z

b x

y

a

x-yElectric fieldMagnetic field

z

2d x

b

Imaged DRA (gound plane removed)

23

Field Distribution --- TE113y

x-zElectric fieldM agnetic field

b x

y

a

x-y

z

2d x

b

With gound planeImaged DRA (gound plane removed)

24

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

0o

-30-20-10 0

30o30o

60o60o

90o 90o

-40 -30-20-10 0

0o

30o30o

60o60o

90o 90o

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

-40 -30-20-10 0

0o

30o30o

60o60o

90o 90o

-40 -30-20-10 0

0o

30o30o

60o60o

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.

III. Circularly Polarized Design using a Parasitic Strip

III. Circularly Polarized Design using a Parasitic Strip

26

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

a d

bx

y

z

GroundPlane

RectangularDRA

Coaxial Aperture Conducting

Strip

r

C

W2

l2 ParasiticPatch

(Center of Parasitic Patch)

0

Top ViewParasitic

Patch

ConductingStrip

x

y

r

27

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)

28

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 3.80

5

10

15

20A

xial

Rat

io (d

B)

Frequency (GHz)

ExperimentTheory

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

30

Radiation Patterns (f = 3.4GHz, )

LHCP

RHCPxz plane yz plane

(+x)(-x) (-y) (+y)-40 -30 -20-10 0

0o

30o30o

60o60o

90o 90o

-40 -30 -20-10 0

0o

30o30o

60o60o

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).

31

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 mml1= 10 mml1= 12 mm

3.1 3.2 3.3 3.4 3.5 3.6 3.70

5

10

15

20

Axi

al R

atio

(dB

)Frequency (GHz)

l1= 8 mml1= 10 mml1= 12 mm

II. Frequency Tuning TechniqueII. Frequency Tuning Technique

The DRA for a paticular frequency may not be available from the comericial market.

Fabrication tolerances cause errors between measured and calculated resonant frequencies.

Frequency tuning methods: (i) loading-disk; and(ii) parasitic slot.

Backgruond

Frequency Tuning Technique- using a loading diskFrequency Tuning Technique- using a loading disk

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 planea

ra

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 εr = 9.5.Coupling slot : length Ls , width WsOpen-circuit stub: length LtGrounded dielectric slab: εrs = 2.33, height d = 1.57 mmMicrostrip feedline: width Wf = 4.7 mm

Calculated and measured return losses(Ls = 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

) = 26.38Lt = 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 (α = 00), with Lt = 4.42 mm 3.25 GHz (α = 26.38o and Lt = 4.42 mm) 3.68 GHz (α = 52.8o and Lt = 13.6 mm)

Calculated and measured radiation patterns

-40 -30 -20 -10 0

030

60

90

30

60

90o o

o o

o o

o

(a) (b)-40 -30 -20 -10 0

030

60

90

30

60

90o o

o o

o o

oCo-pol

X-pol

-40 -30 -20 -10 0

030

60

90

30

60

90o o

o o

o o

o

(c)-40 -30 -20 -10 0

030

60

90

30

60

90o o

o o

o o

o

(d)

Co-pol

X-pol

3.58 GHz (α = 52.8o and Lt = 13.6 mm)

Reasonable agreementbetween theory andexperiment.

The effect of loadingcap on field pattern is notsignificant.

3.25 GHz (α = 26.38o and Lt = 4.42 mm)

Calculated α and Lt 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 frequency fr (GHz)

Ang

le (d

egre

e)

Stub

Len

gth

L t(m

m)

The resonant frequency can be tuned by varying α and Lt α decreases from 26.38o to 0o (3.25 < fr < 3.5 GHz ) α increases from 0o to 52.8o (3.5 < fr < 3.78 GHz)

Impedance bandwidth

The bandwidth decreases after a loading cap is added.

3.2 3.3 3.4 3.5 3.6 3.72

4

6

8

10

Frequency (GHz)

Impe

danc

e Ba

ndw

idth

(%)

Frequency Tuning Technique- using a parasitic slot

Frequency Tuning Technique- using a parasitic slot

(a) Side view

(b) Top view

The annular-slot-excited cavity-backed DRA

z

x

Hemispherical DRA

Coaxial cable Parasitic slot

ar

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 rB

WB

WA

y

x

IV. Omnidirectional CircularlyPolarized DRA

IV. Omnidirectional CircularlyPolarized DRA

43

CP DRAs concentrated on broadside-mode designs only.

Provide larger coverage.

Advantages of omnidirectional CP antenna

44

Slotted omnidirectional CP DRA

Design I:

45

Antenna configurations

x

h

g

z

w

l

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.

Wave polarizer

LP omnidirectional DRA Dielectric block with the wave polarizer

Proposed compact omnidirectional CP DRA

x

y

z

Dielectric slabs

D

E

+

Antenna principle

47

Prototype for 2.4 GHz WLAN design

Top face and sidewalls Bottom face

Design parametersr = 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

48

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 SimulationExperiment

Axial Ratio (dB)

HFSS SimulationExperiment

2 2.2 2.4 2.6 2.8 30

3

6

9

Frequency (GHz)

49

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 oo

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 oo

dB

xy-plane

0o

RHCP

50

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 SimulationExperiment

51

Wideband omnidirectional CP antenna with parasitic metallic strips

Design II:

52

Perspective view Front view

x

h

g

z

ls

ws

wl

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

53

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 mmls = 30.5 mm, ws = 1 mm, x0 = 6.4 mm, r1 = 0.63 mm, l = 19 mm.

Prototype for 3.4 GHz WiMAX design

54

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 SimulationExperiment

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)

55

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

Antenna gain

Simulated and measured results

Radiation efficiencyGain (dBic)

HFSS SimulationExperiment

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

56

3.4 GHz 3.8GHz

LHCP fields > RHCP fields by more than 15 dB in horizontal plane. Stable radiation patterns across the entire passband (3.1 – 3.9 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 oo

dB

xy-plane

0o

RHCP

-40 -30 -20 -10 0

30

150

60

120

90 90

120

60

150

30

180

o o

o o

o o

o o

o oo

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 oo

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 oo

dB

xy-plane

0o

RHCP

Simulated and measured radiation patterns

V. Dualband & Wideband DRAsV. Dualband & Wideband DRAs

(i) Rectangular DRA(i) Rectangular DRA

59

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

60

• 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

61

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.

62

xy

z

ba

d

Ground plane

Rectangular DRA r

Formula Derivation

The wavenumbers kx1, x2 andkz1, z2 can be written as follows:

akk xx

21

dkz 21

dkz 2

32

From the DWM model, the frequencies f1, f2 are given by:

22,1

22,1

22,12,1 2 zzyyxx

r

kkkcf

22,1

22,1

22,12,1 zzxxyy kkkk

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

where

cfk r /2 2,12,1

(*)

64

dkk

d

21

22

2

)96.3(

22

21

1

2

32.109

32.10 ff

kka

21 35.065.0 bbb

Engineering Formulas for the DRA dimensions

2

1

23

1

24

1

2 4422.113209.21393.0ff

ff

ffd 3

1

2 104437.184984.23

ff

(m)

111tan22

2,1

2,11

2,12,1

yyryy kk

kb

where

65

)96.3(

22

21

1

2

32.109

32.10 ff

kka

Limit of frequency ratio f2/f1

From

3k1 > k2 or 3f1 > f2

We have

givingf2/f1 < 3

which is the theoretical limit that is not known before.

09 22

21 dkk

66

1 1 .2 1 .4 1 .6 1 .8 2 2 .2 2 .4 2 .6 2 .80

1

2

3

4

5r 10r 3 0r 7 0r

E r ro r o f (% ) 1f

f f2 1 /

Compared with DWM results, errors of f1, f2 are both less than 2.5% for 1 < f2/f1≤2.8 , 5 ≤εr ≤70.

f1 kept constant at 2.4 GHz.

Error analysis

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), εr=10

Using dual-modeformulas

68

Configuration of the dualband DRA

b

ad

Ground plane

Microstripline

Couplingslot

LS W

L

Wf

h

Substrate rs

Rectangular DRA r

z

y

x

W = 2.6 mm, L =10.6 mm, Ls=7.2 mm, Wf=1.94 mm, h=0.762mm, εrs= 2.93

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

70

COMPARISON OF DESIGN, SIMULATED, AND MEASUREDRESONANCE FREQUENCIES OF TE111

y AND TE113y MODES

ResonantMode

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

71

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 oo

dB

90 90

150180

o

o

o

oo

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 oo

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

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 oo

dB

90 90

150180

o

o

o

o

o

dB-40 -30 -20 -10 0

30

150

60

90

120

60

150

300 o

o o

o o

o o

o o

o o

o

dB

(b)

120

180 o180 o

Simulation H-plane (y-z plane)

Measurement E-plane (x-z plane)

-x +x -y +y

Co-polCo-polCross-pol Cross-pol

73

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

10G ain (dBi)

Frequen cy (G Hz)

74

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), εr=10

Using formulas for dual-moderectangular DRA

75

Configuration of the wideband DRA

b

Conducting feeding strip

Coaxial aperture

a

dW

l

Ground plane

Rectangular DRA r

x

y

z

l = 17 mm, W = 1 mm

76

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)

77

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

90 90

120

60

150

30

180

0oo

o o

o

o o

o o

o oo

dB

90 90

150180

o

o

o

oo

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 oo

dB

120

Simulation H-plane (y-z plane)

Measurement E-plane (x-z plane)

-x +x -y +y

Co-pol Co-polCross-pol Cross-pol

(a)

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

0oo

o o

o

o o

o o

o oo

dB

90-90

150180

o

o

o

oo

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 oo

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

79

Measured antenna gain

The maximum gain of 6.98 dBi at 2.47GHz. TE113

y -mode gain > TE111y -mode gain.

1.6 1.8 2 2.2 2.4 2.6 2.80

2

4

6

8

Frequency (GHz)

Gain (dBi)

(ii) Cylindrical DRA(ii) Cylindrical DRA

81

20

22irzii kkk

Ground planez

aCylindrical DRA

h

r

kρi & kzi :dielectric wavenumbers along the & z directions

k0i = 2fi/c : wavenumber in air

(1)

Resonance frequency of the HEMmnr mode of the cylindrical DRA

i = 1, 2 for f1, f2

f1 : HEM111 mode frequencyf2 : HEM113 mode frequency

82

z

x

y

r

a

Infinite dielectric rod

Resonance frequency of the HEMmnr mode of the cylindrical DRA

For k:

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

akkkkkkm

akKakK

kakJakJ

kakKakK

kakJakJ

k

ii

iriii

im

im

iim

im

i

r

im

im

iim

im

i

83

h

z

r

Infinite dielectric slab

zi

ziirr

i

zi

kkk

phk 22

01 )1(tan

For kz: approximated by the TM01-mode wavenumber

Resonance frequency of cylindrical DRA

(i = 1, 2 for f1, f2)

where p1 = 1 and p2 = 3 correspond to the HEM111 and HEM113 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.

84

4

144

1

2

1i

i

iffB

ii

rr

S DCe

AEah

i

000

4444

3333

2222

1111

DCBADCBADCBA

EDCBA s

=

0996.1982.3162.123.1902.160713.4511.115.3607.3682402.42.6253.680

11650034800937.0234.07.489

(1)

f1 : HEM111 mode frequency (lower band)f2 : HEM113 mode frequency (upper band)

Ground planez

aCylindrical DRA

h

r

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

Using the covariance matrix adaptationevolutionary strategy again,

85

i

iahB

i

ii

rr

S DCe

AEf

ai

4

144

1r

12

c

000

4444

3333

2222

1111

DCBADCBADCBA

EDCBA s

0057.0114.6659.5429.40814.179764.00368.0152.001.3049973.0005.00571.0

109328.310700152.0751.1109.1

=

(2)

Design formula of radius a

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

After a is found, h can be determined from h/a.

Maximum error of a: 2.1% for 1 h/a 3.5, 9 r 27Maximum error of h: 3.0% for 1.28 h/a 1.85, 9 r 27

86

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 ), εr=9.4

Using formulas (1) & (2)

87

Matching slotExcitation strip Via

x

y

Cylindrical DRA r

a

ApertureFeedline

Ground plane

Wf

WsDsLs

a

h

x

z Cylindrical DRA r

Matching slotVia

Feedline

d

Ground planeAperture for via

Excitation stripw

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, and Ds = 12.75 mm.

Radius a has been slightly increased to reduce the merging effect

88

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)

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 oo

dB

90 90

150180

o

o

oo

dB-40 -30 -20 -10 0

30

150

60

90

120

60

150

30

180

o o

o o

o

o o

o oo

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

-40 -30 -20 -10 0

30

150

60

120

9090

120

60

150

30

180

o

o o

o

o o

o o

o oo

dB

90 90

150180

o

o

o

oo

dB-40 -30 -20 -10 0

30

150

60

90

120

60

150

30

180

o o

o o

o o

o o

o oo

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

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.

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

10108

642

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)

91

L2

L3

L1W2

W0

WS

W3 W1

LS

DS

Input port

Via

Cylindrical DRA r

x

ya

quadraturecoupler

Dualband

groundingvia

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 DRA r

Matching slotVia

Feedline

d

Ground planeAperture for via

Excitation stripw

l

Top view Side view

1.6 1.8 2 2.2 2.4 2.6-40

-30

-20

-10

0Reflection Coefficient |S11| (dB)

Frequency (GHz)

HFSS Simulation Measurement

Reasonable agreementLower band bandwidth:18.9% (1.58-1.91 GHz).Upper band bandwidth:7.8% (2.33-2.52 GHz).

Measured and simulated reflection coefficients

93

1.6 1.65 1.7 1.75 1.8 1.85 1.90

2

4

6

8

10Lower band AR (dB)

Frequency (GHz)

HFSS Simulation Measurement

Upper band AR (dB)

Frequency (GHz)2.3 2.4 2.5

0

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)

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 oo

dB

90 90

150180

o

o

o

oo

dB-40 -30 -20 -10 0

30

150

60

90

120

60

150

30

180

o o

o o

o o

o o

o oo

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 oo

dB

90 90

150180

o

o

o

oo

dB-40 -30 -20 -10 0

30

150

60

90

120

60

150

30

180

o o

o o

o o

o o

o oo

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.

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, εr= 9.4

Using formula (5) & (6)

96

Cylindrical DRA r

Conducting feeding strip

Coaxial aperture

l

w h

a

Ground plane

z

xy

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 agreementMeasured impedance bandwidth:23.5% (3-3.8 GHz)

Wideband LP cylindrical DRA

97

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)

98

L1

L1W0

W0

W1

Input port

Excitationstrip

Isolationport

Groundplane

via

Excitation stripCylindrical DRA r

Wideband quadrature coupler

via

x

ya

a

h

x

z Cylindrical DRA r

Viad

Ground planeAperture for via

Excitation stripw

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

99

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

Frequency (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

VI. Dualfunction DRAsVI. Dualfunction DRAs

101

AdvantageSystem size and cost can be reduced byusing dualfunction DRAs.

Additional functions- Packaging cover- Oscillator

102

Packaging Cover

103

Conventional

Aperture Metallic supportsfor grounding

Dielectric resonator antenna/oscillator load and packaging cover

Metal ground

Power supply

z

y

Front view

hH

Microstripfeedline

d

Transistor (other RF components not shown)

Proposal

104

Antenna Configuration

Aperture

Feedline and theRF/MIC circuits

Metal ground

Coaxial line

Dielectric resonator antenna and packaging cover Metallic supports

for 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 0.762mmAperture: 0.2063 e

105

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

106

Experimental Verification:

- Hard-clad foam (r ≈1) is used to form the container.

- ECCOSTOCK HiK Powder of r =12 is used as the dielectric material.

107

2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3Frequency (GHz)

-60

-50

-40

-30

-20

-10

0R

etur

n Lo

ss (d

B)

Theory

Experiment

2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3Frequency (GHz)

-60

-40

-20

0

20

40

60

80

Inpu

t Im

peda

nce

(ohm

)

Return Loss and Input Impedance(Passive hollow RDRA with a metallic cavity)

•Good agreement.•Bandwidth ~ 5.6%.• Measured resonance frequency: 2.42GHz (error < 0.83%)

108

-40 -30 -20 -10 0

30

-150

60

-120

90-90

120

-60

150

-30

180

0co-pol

cross-pol

-40 -30 -20 -10 0

30

-150

60

-120

90-90

120

-60

150

-30

180

0

cross-pol

co-pol

TheoryExperiment

(a) (b)

x-z plane y-z plane

Radiation Patterns(Passive hollow DRA with a metallic cavity)

• Broadside TE111y mode is observed.

• Co-polarized fields generally stronger than the cross-polarized fields by 20dB in the boresight direction.

109

2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3Frequency (GHz)

-40

-30

-20

-10

0

Ret

urn

Loss

(dB

)

A A

DRA DRA

Return Loss

Return Loss

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.

110

-180 -120 -60 0 60 120 180Observation angle (degree)

-80

-70

-60

-50

-40

-30

-20

-10

0A

mpl

itude

(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 of7 - 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.

Dielectric Resonator Antenna Oscillator (DRAO)

Dielectric Resonator Antenna Oscillator (DRAO)

112

• The DRA is used as the oscillator load, named as DRAO.

Methodology

• The reflection amplifier method is used to design the antenna oscillator.

113

DRAjX Zin=Rin+Xin

Lm

Transistor

C

ZL=RL+XL

DRAO Schematic Diagram

- Oscillate condition: XL+Xin=0 & RL<|Rin|- DRA first replaced by a 50 load at 1.85GHz.

114

L

w

Top view

MicrostripfeedlineAperture

y

x

Lm Ls

La

Wa

Transistor (other RF components not shown)

Resonance frequencyfo = 1.85GHz at TE111

y

Parameters:DRAL=52.2mm, W=42.4mm, H=26.1mm, r = 6.

ApertureLa = 0.3561e, Wa = 2mmLs = 9.5 mm, Lm = 40 mm.

Duroid substraters=2.94, d=0.762mm

Antenna Configuration:Dielectric resonator antenna and oscillating load

Microstripfeedline Aperture

Ground

L

H

z

x

Substrate

Side view

d

Transistor (other RF components not shown)

r

115

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 SimulationExperiment 1.6 1.7 1.8 1.9 2 2.1

-80

-60

-40

-20

0

20

40

60

80

Frequency (GHz)

Input Impedance (ohms)

116

Spectrum of the Free-running DRAO

• Transmitting power Pt = 16.4dBm• DC-RF efficiency: ~ 13% (2-25% in the literature).• Phase noise: 103dBc/Hz at 5MHz offset• Second harmonic < fundamental by 22dB

117

Radiation Pattern

• 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

90-90

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

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 for the dielectric?

It leads to probably the most beautiful antenna in the world …….

Yes!

Glass-Swan DRA

Distinguished LectureTransparent antennas: From 2D to 3D

119

120

• The DRA can be easily excited with various excitation schemes.

• Frequency tuning of the DRA can be achieved by usinga loading-disk or parasitic slot.

• The dualband and wideband DRAs can be easily designed usinghigher-order modes.

• Compact omnidirectional CP DRAs have been presented

• Dualfuncton DRAs for packaging and oscillator designs havebeen demonstrated.

Conclusion

121

122

Q & A

Recommended