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Application Development Engineer Agilent Technologies Electromagnetic Properties of Materials Characterization at Microwave Frequencies and Beyond Agenda Definitions Measurement Techniques Coaxial Probe ID: 363873

frequency cavity material ghz cavity frequency ghz material resonant permittivity transmission probe sample loss empty measurement materials dielectric coaxial

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Slide1

Shelley BegleyApplication Development EngineerAgilent Technologies

Electromagnetic Properties of Materials: Characterization at Microwave Frequencies and BeyondSlide2

Agenda

Definitions

Measurement Techniques

Coaxial Probe Transmission Line Free-Space

Resonant Cavity Summary2Slide3

DefinitionsPermittivity is a physical quantity that describes how an electric field affects and is affected by a dielectric medium and is determined by the ability of a material to polarize in response to an applied electric field, and thereby to cancel, partially, the field inside the material. Permittivity relates therefore to a material's ability to transmit (or "permit") an electric field…The permittivity of a material is usually given relative to that of vacuum, as a relative permittivity, (also called dielectric constant in some cases)….- Wikipedia

Dielectric Constant?

Loss Tangent?

Permeability!

Dissipation Factor?

Permittivity!Slide4

Permittivity and Permeability Definitionsinteraction of a material in the presence of an external electric field.

Permittivity

(Dielectric Constant)Slide5

Permittivity and Permeability Definitionsinteraction of a material in the presence of an external electric field.

Permittivity

(Dielectric Constant)Slide6

Permittivity and Permeability Definitionsinteraction of a material in the presence of an external electric field.

interaction of a material in the presence of an external magnetic field.

Permittivity

(Dielectric Constant)

PermeabilitySlide7

Permittivity and Permeability Definitionsinteraction of a material in the presence of an external electric field.

interaction of a material in the presence of an external magnetic field.

Permittivity

(Dielectric Constant)

Permeability

Complex but not Constant!Slide8

Electromagnetic Field Interaction

Electric

Magnetic

Permittivity

Permeability

Fields

Fields

STORAGE

MUT

STORAGESlide9

Electromagnetic Field Interaction

Electric

Magnetic

Permittivity

Permeability

Fields

Fields

STORAGE

LOSS

MUT

STORAGE

LOSSSlide10

Loss Tangent

Dissipation Factor

Quality FactorSlide11

Relaxation Constant tt

= Time required for 1/e of an aligned system to return to equilibrium or random state, in seconds.

1

1

10

100

10

100

Water at 20

o

C

f, GHz

most energy is lost at 1/

tSlide12

Techniques

Transmission LIne

Resonant

Cavity

Free Space

Coaxial

ProbeSlide13

Which Technique is Best?

It Depends…Slide14

Frequency of interest Expected value of

er and

mr

Required measurement accuracyWhich Technique is Best?

It Depends… onSlide15

Frequency of interest Expected value of

er and

mr

Required measurement accuracy Material properties (i.e., homogeneous, isotropic) Form of material (i.e., liquid, powder, solid, sheet)

Sample size restrictionsWhich Technique is Best?

It Depends… onSlide16

Frequency of interest Expected value of

er and

mr

Required measurement accuracy Material properties (i.e., homogeneous, isotropic) Form of material (i.e., liquid, powder, solid, sheet)

Sample size restrictions Destructive or non-destructive Contacting or non-contacting Temperature

Which Technique is Best?

It Depends… onSlide17

Measurement Techniques

vs. Frequency and Material Loss

Frequency

Loss

Transmission line

Resonant Cavity

Coaxial Probe

Microwave

RF

Millimeter-wave

Low frequency

High

Medium

Low

Free Space

50 MHz

20 GHz

40 GHz

60 GHz

5 GHz

500+ GHzSlide18

Measurement Techniques

vs. Frequency and Material Loss

Frequency

Loss

Coaxial Probe

Microwave

RF

Millimeter-wave

Low frequency

High

Medium

Low

50 MHz

20 GHz

40 GHz

60 GHz

5 GHz

500+ GHzSlide19

Measurement Techniques

vs. Frequency and Material Loss

Frequency

Loss

Coaxial Probe

Microwave

RF

Millimeter-wave

Low frequency

High

Medium

Low

50 MHz

20 GHz

40 GHz

60 GHz

5 GHz

500+ GHzSlide20

Measurement Techniques

vs. Frequency and Material Loss

Frequency

Loss

Transmission line

Coaxial Probe

Microwave

RF

Millimeter-wave

Low frequency

High

Medium

Low

Free Space

50 MHz

20 GHz

40 GHz

60 GHz

5 GHz

500+ GHzSlide21

Measurement Techniques

vs. Frequency and Material Loss

Frequency

Loss

Transmission line

Coaxial Probe

Microwave

RF

Millimeter-wave

Low frequency

High

Medium

Low

Free Space

50 MHz

20 GHz

40 GHz

60 GHz

5 GHz

500+ GHzSlide22

Measurement Techniques

vs. Frequency and Material Loss

Frequency

Loss

Transmission line

Resonant Cavity

Coaxial Probe

Microwave

RF

Millimeter-wave

Low frequency

High

Medium

Low

Free Space

50 MHz

20 GHz

40 GHz

60 GHz

5 GHz

500+ GHzSlide23

Coaxial Probe System

Network Analyzer

(or E4991A Impedance Analyzer)

85070E

Dielectric Probe

GP-IB, LAN or USB

85070E Software (included in kit)

Calibration is required

Computer

(Optional for PNA or ENA-C)Slide24

Material assumptions:

effectively infinite thickness non-magnetic

isotropic

homogeneousno air gaps or bubblesCoaxial Probe

11

Reflection

(S )

e

r

Slide25

Three Probe Designs

High Temperature Probe

0.200 – 20GHz (low end 0.01GHz with impedance analyzer)

Withstands -40 to 200 degrees C

Survives corrosive chemicals

Flanged design allows measuring flat surfaced solids.Slide26

Three Probe Designs

Slim Form Probe

0.500 – 50GHz

Low cost consumable design

Fits in tight spaces, smaller sample sizes

For liquids and soft semi-solids onlySlide27

Three Probe Designs

Performance Probe

Combines rugged high temperature performance with high frequency performance, all in one slim design.

0.500 – 50GHz

Withstands -40 to 200 degrees C

Hermetically sealed on both ends, OK for autoclave

Food grade stainless steelSlide28

Coaxial Probe Example DataSlide29

Coaxial Probe Example DataSlide30

Coaxial Probe Example DataSlide31

Martini Meter!

Infometrix, Inc.Slide32

Transmission Line System

Network Analyzer

Sample holder

connected between coax cables

85071E Materials Measurement Software

Calibration is required

Computer

(Optional for PNA or ENA-C)

GP-IB, LAN or USBSlide33

Transmission Line Sample Holders

Waveguide

CoaxialSlide34

Transmission Line

l

Reflection

(S )

11

Transmission

(S )

21

Material assumptions:

sample fills fixture cross section

no air gaps at fixture walls

flat faces, perpendicular to long axis

Known thickness > 20/360

λ

e

r

and

m

r Slide35

Transmission m

odels

in the 85071E Software

Algorithm

Measured S-parameters

Output

Nicolson-Ross

S11, S21, S12, S22

ε

r

and

μ

r

NIST Precision

S11, S21, S12, S22

ε

r

Fast Transmission

S21, S12

ε

r

Poly Fit 1

S11, S21, S12, S22

ε

r

and

μ

r

Poly Fit 2

S12, S21

ε

r

Stack Two

S21, S12 (2 samples)

ε

r

and

μ

rSlide36

Reflection m

odels

in the 85071E Software

Algorithm

Measured S-parameters

Output

Short Backed

S11

ε

r

Arbitrary Backed

S11

ε

r

Single Double Thickness

S11 (2 samples)

ε

r

and

μ

r

Slide37

Transmission Example DataSlide38

Transmission Example DataSlide39

85071E Materials Measurement Software

Transmission Free-Space System

Network Analyzer

Sample holder

fixtured between two antennae

Calibration is required

Computer

(Optional for PNA or ENA-C)

GP-IB, LAN or USBSlide40

Non-Contacting method for High or Low Temperature Tests.

Free Space with FurnaceSlide41

Transmission Free-Space

Material assumptions: Flat parallel faced samples

Sample in non-reactive region

Beam spot is contained in sample Known thickness > 20/360 λ

l

Reflection

(S11 )

Transmission

(S21 )

e

r

and

m

r Slide42

Free Space Example DataSlide43

Free Space Example DataSlide44

Resonant Cavity System

Resonant Cavity with sample

connected between ports.

Network Analyzer

GP-IB or LAN

Computer

(Optional for PNA or ENA-C)

Resonant Cavity Software

No calibration requiredSlide45

Resonant Cavity Fixtures

Agilent Split Cylinder Resonator IPC TM-650-2.5.5.5.13

Split Post Dielectric Resonators from QWED

ASTM 2520 Waveguide ResonatorsSlide46

Resonant Cavity Technique

f

f

c

Q

c

empty cavity

fc = Resonant Frequency of Empty Cavity

fs = Resonant Frequency of Filled Cavity

Qc = Q of Empty Cavity

Qs = Q of Filled Cavity

Vs = Volume of Empty Cavity

Vc = Volume of Sample

ASTM 2520

S21Slide47

Resonant Cavity Technique

Q

f

s

f

f

c

s

Q

c

empty cavity

sample inserted

fc = Resonant Frequency of Empty Cavity

fs = Resonant Frequency of Filled Cavity

Qc = Q of Empty Cavity

Qs = Q of Filled Cavity

Vs = Volume of Empty Cavity

Vc = Volume of Sample

ASTM 2520

S21Slide48

Resonant Cavity Technique

Q

f

s

f

f

c

s

Q

c

empty cavity

sample inserted

fc = Resonant Frequency of Empty Cavity

fs = Resonant Frequency of Filled Cavity

Qc = Q of Empty Cavity

Qs = Q of Filled Cavity

Vs = Volume of Empty Cavity

Vc = Volume of Sample

ASTM 2520

S21Slide49

Resonant Cavity Technique

Q

f

s

f

f

c

s

Q

c

empty cavity

sample inserted

fc = Resonant Frequency of Empty Cavity

fs = Resonant Frequency of Filled Cavity

Qc = Q of Empty Cavity

Qs = Q of Filled Cavity

Vs = Volume of Empty Cavity

Vc = Volume of Sample

ASTM 2520

S21Slide50

Resonant Cavity Example DataSlide51

Resonant vs. Broadband Transmission Methods

Resonant

Broadband

Low Loss materials

Yes

e

r

” resolution ≤10

-4

No

e

r

” resolution ≥10

-2

Thin Films and Sheets

Yes

10GHz sample thickness <1mm

No

10GHz optimum thickness ~ 5-10mm

Calibration Required

No

Yes

Measurement Frequency Coverage

Single Frequency

Broadband or BandedSlide52

Materials Ordering

Convenience Specials

Model Number

Description

85071E

E19

E03

E04

E15

E07

Split Post Dielectric Resonators from QWED

1.1GHz

2.5GHz

5GHz

15GHz

22GHz

85071E

E02

E01

E22

E18

E24

Quasi-optical products from Thomas Keating Ltd.

60-90GHz – Quasi-optical Table

75-110GHz – Quasi-optical Table

90-140GHz – Additional set of horns for above tables

220-326GHz – Additional set of horns for above tables

325-500GHz – Additional set of horns for above tablesSlide53

Materials Ordering

Convenience Specials

Model Number

Description

85071E

E19

E03

E04

E15

E07

Split Post Dielectric Resonators from QWED

1.1GHz

2.5GHz

5GHz

15GHz

22GHz

85071E

E02

E01

E22

E18

E24

Quasi-optical products from Thomas Keating Ltd.

60-90GHz – Quasi-optical Table

75-110GHz – Quasi-optical Table

90-140GHz – Additional set of horns for above tables

220-326GHz – Additional set of horns for above tables

325-500GHz – Additional set of horns for above tablesSlide54

For More InformationVisit our website at:www.agilent.com/find/materials

For Product Overviews, Application Notes, Manuals, Quick Quotes, international contact information…Slide55

References

R N Clarke (Ed.), “A Guide to the Characterisation of

Dielectric Materials at RF and Microwave Frequencies,”

Published by The Institute of Measurement & Control (UK) & NPL, 2003J. Baker-Jarvis, M.D. Janezic, R.F. Riddle, R.T. Johnk, P. Kabos, C. Holloway, R.G. Geyer, C.A. Grosvenor,

“Measuring the Permittivity and Permeability of Lossy Materials: Solids, Liquids, Metals, Building Materials, and Negative-Index Materials,” NIST Technical Note 15362005“Test methods for complex permittivity (Dielectric Constant) of solid electrical insulating materials at microwave frequencies and temperatures to 1650°,

ASTM Standard D2520, American Society for Testing and Materials

Janezic M. and Baker-Jarvis J.,

“Full-wave Analysis of a Split-Cylinder Resonator for Nondestructive Permittivity Measurements,”

IEEE Transactions on Microwave Theory and Techniques vol. 47, no. 10, Oct 1999, pg. 2014-2020

J.

Krupka

, A.P. Gregory, O.C.

Rochard

, R.N. Clarke, B. Riddle, J. Baker-Jarvis,

“Uncertainty of Complex Permittivity Measurement by Split-Post Dielectric Resonator Techniques,”

Journal of the European Ceramic Society

No. 10, 2001, pg. 2673-2676

“Basics of

Measureing

the Dielectric Properties of Materials”. Agilent application note. 5989-2589EN AM. Nicolson and G. F. Ross, "Measurement of the intrinsic properties of materials by time domain techniques,"

IEEE Trans. Instrum. Meas., IM-19(4), pp. 377-382, 1970. Improved Technique for Determining Complex Permittivity with the Transmission/Reflection Method, James Baker-Jarvis et al, IEEE transactions on microwave Theory and Techniques

vol 38, No. 8 August 1990 P. G. Bartley, and S. B. Begley, “A New Technique for the Determination of the Complex Permittivity and Permeability of Materials Proc. IEEE Instrument Meas. Technol. Conf., pp. 54-57, 2010.