Standard Test Method for Measuring Relative Complex Permittivity and Relative Magnetic Permeability of Solid Materials at Microwave Frequencies Using Coaxial Air Line

SIGNIFICANCE AND USE
Design calculations for radio frequency (RF), microwave and millimetre-wave components require the knowledge of values of complex permittivity and permeability at operating frequencies. This test method is useful for evaluating small experimental batch or continuous production materials used in electromagnetic applications. Use this method to determine complex permittivity only (in non-magnetic materials) or both complex permittivity and permeability simultaneously.
SCOPE
1.1 This test method covers a procedure for determining relative complex permittivity (relative dielectric constant and loss) and relative magnetic permeability of isotropic, reciprocal (non-gyromagnetic) solid materials. If the material is nonmagnetic, it is acceptable to use this procedure to measure permittivity only.
1.2 This measurement method is valid over a frequency range of approximately 1 MHz to over 20 GHz. These limits are not exact and depend on the size of the specimen, the size of coaxial air line used as a specimen holder, and on the applicable frequency range of the network analyzer used to make measurements. The practical lower and upper frequencies are limited by specimen dimension requirements (large, thick specimens at low frequencies and small specimens at high frequencies). For a given air line size, the upper frequency is also limited by the onset of higher order modes that invalidate the dominant-mode transmission line model and the lower frequency is limited by the smallest measurable phase shift through a specimen. Being a non-resonant method, the selection of any number of discrete measurement frequencies in a measurement band would be suitable. The coaxial fixture is preferred over rectangular waveguide fixtures when broadband data are desired with a single sample or when only small sample volumes are available, particularly for lower frequency measurements
1.3 The values stated in either SI units or inch-pound units are to be regarded separately as standard. The values stated in each system may not be exact equivalents; therefore, each system shall be used independently of the other. Combining values from the two systems may result in non-conformance with the standard. The equations shown here assume an e+jωt harmonic time convention.
1.4 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.

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Historical
Publication Date
14-Nov-2008
Current Stage
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ASTM D7449/D7449M-08e1 - Standard Test Method for Measuring Relative Complex Permittivity and Relative Magnetic Permeability of Solid Materials at Microwave Frequencies Using Coaxial Air Line
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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
´1
Designation: D7449/D7449M − 08
StandardTest Method for
Measuring Relative Complex Permittivity and Relative
Magnetic Permeability of Solid Materials at Microwave
1
Frequencies Using Coaxial Air Line
This standard is issued under the fixed designation D7449/D7449M; the number immediately following the designation indicates the
year of original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last
reapproval. A superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1
ε NOTE—Equation 5 was editorially updated in March 2012.
1. Scope 1.4 This standard does not purport to address all of the
safety concerns, if any, associated with its use. It is the
1.1 This test method covers a procedure for determining
responsibility of the user of this standard to establish appro-
relative complex permittivity (relative dielectric constant and
priate safety and health practices and determine the applica-
loss)andrelativemagneticpermeabilityofisotropic,reciprocal
bility of regulatory limitations prior to use.
(non-gyromagnetic) solid materials. If the material is
nonmagnetic, it is acceptable to use this procedure to measure
2. Referenced Documents
permittivity only.
2
2.1 ASTM Standards:
1.2 This measurement method is valid over a frequency
D1711 Terminology Relating to Electrical Insulation
range of approximately 1 MHz to over 20 GHz. These limits
are not exact and depend on the size of the specimen, the size 3. Terminology
of coaxial air line used as a specimen holder, and on the
3.1 For definitions of terms used in this test method, refer to
applicable frequency range of the network analyzer used to
Terminology D1711.
make measurements. The practical lower and upper frequen-
3.2 Definitions:
cies are limited by specimen dimension requirements (large,
3.2.1 relative complex permittivity (relative complex dielec-
thick specimens at low frequencies and small specimens at
*
tric constant), ε,n—the proportionality factor that relates the
r
highfrequencies).Foragivenairlinesize,theupperfrequency
electric field to the electric flux density, and which depends on
is also limited by the onset of higher order modes that
intrinsic material properties such as molecular polarizability,
invalidate the dominant-mode transmission line model and the
charge mobility, etc.:
lower frequency is limited by the smallest measurable phase
shift through a specimen. Being a non-resonant method, the
W
D
* ’ ”
selection of any number of discrete measurement frequencies ε 5 ε 2 jε 5 (1)
r r r
W
ε E
0
in a measurement band would be suitable. The coaxial fixture
is preferred over rectangular waveguide fixtures when broad-
where:
band data are desired with a single sample or when only small
ε = permittivity of free space
0
sample volumes are available, particularly for lower frequency
measurements
W
= electric flux density vector, and
D
1.3 The values stated in either SI units or inch-pound units
are to be regarded separately as standard. The values stated in
each system may not be exact equivalents; therefore, each
W
= electric field vector.
E
system shall be used independently of the other. Combining
values from the two systems may result in non-conformance
3.2.1.1 Discussion—In common usage the word “relative”
+jωt
with the standard. The equations shown here assume an e
is frequently dropped. The real part of complex relative

harmonic time convention.
permittivity (ε ) is often referred to as simply relative
r
permittivity, permittivity or dielectric constant. The imaginary
1
This test method is under the jurisdiction of ASTM Committee D09 on
2
Electrical and Electronic Insulating Materials and is the direct responsibility of For referenced ASTM standards, visit the ASTM website, www.astm.org, or
Subcommittee D09.12 on Electrical Tests. contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
Current edition approved Nov. 15, 2008. Published December 2008. DOI: Standards volume information, refer to the standard’s Document Summary page on
10.1520/D7449_D7449M-08E01. the ASTM website.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
1

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´1
D7449/D7449M − 08

part of complex relative permittivity (ε ) is often referred to as 3.3.4.1 Discussion—For the purposes of this standard, this
r
the loss factor. In anisotropic media, permittivity is described descriptionincludesonlythosesystemsthathaveasynthesized
by a three dimensional tensor. For the purposes of this test signal generator, and that measure the complex scattering
method, the media is considered to be isotropic, and therefore parameters (both magnitude and phase) in the forward and
permittivity is a single
...

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