475 60 26MB
English Pages [164] Year 1980
A HANDBOOK ON
ELECTROMAGNETIC SHIELDING MATERIALS AND PERFORMANCE By
Donald
R.
J.
White,
MSEE/PE
DON
WHITE CONSULTANTS, INC, State Route 625 P.0. Box D Gainesville, Virginia 22065 Phone: 703-347-0030 TLX: 89-9165 DWCI GAIV
(:)Copyright Second
1980
Edition
All rights reserved. This book, or any thereof, may not be reproduced in any form the written permission of the publisher. Library Printed
of
Congress in
the
Catalog
United
Card
States
of
No.
parts without
75-16592
America
ACKNOWLEDGEMENT The author wishes to thank the many people who encouraged him to He expresses his appreciation to write this handbook on shielding. the individuals and companies who have furnished several of the illustrative figures, for which acknowledgements in this handbook have been made.
The author expresses his appreciation to his wife Colleen and Muriel M. Moeller for their assistance in typing, and in the many facets of logistics involved in preparation of the manuscript; to Luis F. Longoria III and Jane Backstrom for their drafting, HP-65 calculator computations, and the many others who have helped produce this publication.
ii
OTHER BOOKS PUBLISHED BY DWCI Design and Applications; Electrical Filters-Synthestis, (1) Reprinted December Inc. 1963, by White Electromagnetics,
published 1970. published
Electrical
Volume
2,
Electromagnetic
Interference
Volume
3,
Electromagnetic
Compatibility
Volume
4,
Electromagnetic
Interference
Test
5, Electromagnetic 1972.
Interference
Prediction
(3)
and
(4)
published
Techniques;
(5)
and Systems; Techniques;
Specifications;
EMI
1,
and Procedures; Methods
and
Noise
Volume (2) 1971.
(6)
published
1974.
published
1973,
1971.
Volume published
Standards,
Volume 6, Electromagnetic Interference (7) and Regulations; published 1975.
published
1971.
Frequency
Interference
Inc.
(8)
A Glossary
(9)
Mertel,
Encyclopedia
Series;
II
Noise,
(11) Volume
1977.
published
1979.
Volume
of
V
and
the
Control
Instruments
Specifications,
and Symbols; National
Radio
EMC
Multi-Volume
1978. Spectrum Management Techniques, Encyclopedia Series; published
M., EMC
Hart, William C. and Malone, Edward W., Lightning anda
Protection,
1979.
published
Series;
published
I of
Volume
Methods
Herman, John R., Electromagnetic Ambients and Man-Made III of the Multi-Volume EMC Encyclopedia Series;
(12)
Lightning
International
K.,
Herbert
Regulations,
Jansky, Donald (10) of the Multi-Volume
Volume
Abbreviations,
of Acronyms,
Test
Keiser, Bernhard Multi-Volume EMC
(13) the
EMC
the Multi-Volume
IV of
Volume
Encyclopedi
E., EMI Control in Aerospace Systems, Encyclopedia Series; published 1979
Feher, Kamilo, Digital Modulation Techniques in an (14) Interference Environment, Volume IX of the Multi-Volume EMC EncySeries;
in Medical Series;
Gard,
Electronics,
1979.
published
Procedures
Ships,
(15)
published
White, (16) (EMC Design (17)
Volume
published
1980.
Michael
Volume
of
F.,
Electromagnetic
X of
Control
Interference
the Multi-Volume
EMC
Encyclopedia
Donald R. J., EMI Control Methodology Synthesis); published 1978.
and
in Boats
and
Carstensen,
XXIV
1977.
the
Russell
V.,
Multi-Volume
[ 5 e e
clopedia
EMI Control
EMC
Encyclopedia
Series;
PREFACE There
exists
substantial
material
in
the
literature
on
the
subject
For Chap. 4 presents many references. of electromagnetic shielding. either an individual who has only recently been introduced to shielding or to a design engineer, however, much of the literature appears to be Missing in the either confusing or poorly organized for design use. all the princiincluding graphs design useful of series a are literature Thus, this mamner. understandable clear, a in presented variables pal handbook on Shielding was conceived to fill these voids.
This
handbook
does
not
cover
the
topics
of where
and when
to
shield,
These topics are covered in Vol. 3 of the and where to ground a shield. Rather, this handbook explains shielding theory EMC Handbook Series. and performance and presents many design graphs of shielding effective~ ness vs frequency as a function of shield metal and its characteristics, and E and H-fields and plane waves.
Regarding the impedance of the fields (E, H, or plane waves), tie For exliterature and manufacturers' data are often very misleading. ample, since the wave and circuit impedance which produced the field .are interlocked and since a circuit impedance is not infinite, E-field shielding effectiveness data are generally optimistic (too high) relaIn a converse manner, H-field shielding tive to actual performance. effectiveness data are pessimistic (too low) since a magnetic source This handbook clarifies and quantifies circuit impedance is not zero. these points, Another example of possibly misleading information is the use of MIL-STD-285 to measure and report the shielding effectiveness of test The reference test distance per MIL-STD-285 items to E and H-fields. Thus, for installations located in the is one foot (0.305 meters). near field which are greater than one foot from an interfering source, actual E-field shielding performance will be less and H-field performance will be greater than that reported by MIL-STD-285 measurements. The converse applies for application distances between sources and metal barriers which are less than one foot away as illustrated in this handbook.
The discussions and design data on shielding effectiveness in this In fact no real handbook are not restricted to homogeneous metals. room is homogenor cabinet, box, life and useful shielded compartment, configuration shield six-sided a of penetrations many eous since usually a shielded of integrity the reinstate to used Techniques necessary. are Shielding enclosure are discussed in Vol, 3 of the EMC Handbook Series. materials and performance of non-homogeneous metals are discussed in Some examples are pseudo-homogeneous shields this handbook on Shielding. Shields made of made from metal deposition and flame-spray processes. Examples include screens, small-aperture metals are also presented.
iv
PREFACE wire meshes, cable braids discussed herein together
and metalized textiles, with design data.
all
of
which
are
The appendices of this handbook are perhaps the most important of all material presented. They contain 42 pages of design shielding effectiveness graphs for several metals whose thicknesses range from 0.0001 mil (2.54 pm) to 1 inch (2.54 cm). For both near and farfield calculations and associated frequencies, the design graphs cover source-to-metal distances ranging from 10 cm to 10 km. Frequency coverage is from 10 Hz to 30 GHz. All data were run-off on the HP-65 programmable calculator. For those who have an HP-65, the program is presented so that they can develop and use their own magnetic card. There also exist many design graphs other than direct shielding effectiveness which the reader should find useful. The author of this handbook invites the user to communicate him. He especially invites comments, questions, or requests for further elucidation. December 1975 Germantown, Maryland
January 1980 Gainesville,
Donald
R.
White
USA
Second Virginia
J.
with
USA
Edition
TABLE OF CONTENTS ELECTROMAGNETIC SHIELDING MATERIALS AND PERFORMANCE Page
ACKNOWLEDGEMENT OTHER BOOKS BY THE AUTHOR PREFACE TABLE OF CONTENTS LIST OF TABLES LIST OF ILLUSTRATIONS LIST OF SYMBOLS AND ABBREVIATIONS
CHAPTER 1
SHIELDING THEORY
1.1
FIELD THEQORY
1.2
WAVE
1.3
METAL 1.3.1 1.3.2
1.4
SHIELDING 1.4.1 1.4.2 1.4.3
1.4.4
1.4.5 1.4.6
CHAPTER 2 2.1
2.1.3 2.1.4
1.1 1.5
IMPEDANCE
1.8
IMPEDANCE Barrier Barrier
Impedance Impedance
of Metals of Metals
(t >> §) (t < 3¢)
1.19 1.19 1.29
Absorption Loss Reflection Loss Re-Reflection Correction
Total
Losses
for
1.9 1.11 1.14
EFFECTIVENESS
K »> 1)
Low-Frequency Magnetic Shielding Performance Degradation
Effectiveness
1.29
1.32 1.35
SHIELDING MATERIALS AND TESTING 2.1
MATERIALS
SHIELDING 2.1.1 2.1.2
No.
iid i1d iv vi viii ix Xiii
Homogeneous Metals Pseudo-Homogeneous
Small-Aperture Metals Shielded Optical Display
2.2
SHIELDING
2.3
MIL-STD-285
DENSITY
2.1 2.10
Metals
FOR WEIGHT-SENSITIVE
APPLICATIONS AND EXAMPLES CHAPTER 3 3.1 HOW TO USE THE DESIGN GRAPHS
2.19 2.24
Windows APPLICATIONS
2.28 2.34
3.1
TaBLE oF CONTENTS 3.2 3.3
ILLUSTRATIVE HP-65 3.3.1 3.3.2
EXAMPLES
PROGRAM
FOR SHIELDING
User Program I1lustrative
EFFECTIVENESS
Instructions Examples
CHAPTER4
REFERENCES
APPENDICES APPENDIX A
COPPER
A T-A6
APPENDIX
B
MONEL
B.1-B.6
APPENDIX
C
NICKEL
C.1-C.6
APPENDIX
D
IRON
D.1-D.6
APPENDIX
E
HYPERNICK
E.1-E.6
APPENDIX
F
78
F.1-F.6
APPENDIX
G
HIGH
Permalloy
PERMEABILITY
G.1-G.6
INDEX
vii
LIST OF TABLES Page
CHAPTER2 2.1
SHIELDING MATERIALS AND TESTING Relative Metals
Conductivity
and
Permeability
of
2.2
Weight per Unit Area Some Metals
2.3
Applicable
2.4
Relative Thickness and Weights of Some Metals for Yielding the Same Shielding
2.19
Line
per Unit Thickness
Selection
for
Use
in
Fig.
Effectiveness
CHAPTER 3
APPLICATIONS AND EXAMPLES
3.1
Definition of Permeability to Copper
3.2
Metal Use
3.3
Applicable Specified
3.4
HP-65 Shielding Steps
Class
Metal Class Based on and Conductivity Relative
for
Choice
Appendix Distance
of
Design
Appendix Graph
Effectiveness
viii
to for
Program
of
No.
LIST OF ILLUSTRATIONS
Fig.
3 4 5
Electric-Field Strength vs. Source Distance Conceptual Illustration of Field Strengths vs, Source Type and Distance Wave Impedance as a Function of Source Distance Wave Impedance for Saveral Circuit Impedances Surface Impedance and Skin Deptl: of Various Metals vs. Frequency Barrier Metal Impedance Error in Zp Expression by
Assuming
.10 11 12 13 .14 .15 .16 17 .18 .19 .20
CHAPTER 2
Page
Title
No.
1 .1 1 .2 —_—
SHIELDING THEORY
t/s
Surface Impedance of Copper and Iron vs. Freguency and Skin Depth in Units of t/é Ratios Representation of Shielding Phenomena for Plane Waves Geometry of Metal Barrier Used in Explaining Shielding Effectiveness Absorption Loss vs. Freguency and Thickness for Copper Absorption Loss vs. Frequency and Thickness for Aluminum Absorption Loss vs. Frequency and Thickness for Brass Absorption Loss vs. Frequency and Thickness for Beryllium Absorption Loss vs. Frequency and Thickness for Monel
Absorption
vs.
Loss
and Thickness
Frequency
for
Iron Absorption Loss vs. Frequency and Thickness for Stainless Steel Absorption Loss vs. Frequency and Thickness for High-Permeable Metals Re-Reflection Correction vs. VSWR and Material Absorption Loss Shielding Effectiveness vs. Metal-to-Emission Distance and Surface Resistances Low Frequency, Shielding Effectiveness to Magnetic Fields
SHIELDING MATERIALS AND TESTING
2.1
Magnetization
Curve
2.2
Permeability
Curves
Some
H ard
Important B.
I and
(Solid)
Magnetic B-H
and Hysteresis
Quantities
of Iron, with are
also ix
used
are
u Plotted as
Loop
ITlustrated
Against
Abscissae
No.
s
CHAPTER 1
.12 13 .16 .16 .20 .21 .22 .23 .24 .25 .26 .27 .30 .33 .34
2.16 2.17 2.18 2.19 2.20
APPENDIX A Al
A.2 A.3 A4 A5 )
APPENDIX B B.1
B.2 B.3 B.4
Both
of Plastic
EMI
and
Static
COPPER
Shielding Effectiveness of Copper Source~to-Metal Distance Shielding Effectiveness of Copper Source-to-Metal Distance of Im Shielding Effectiveness of Copper
Distance
of 10m
Shielding Effectiveness of Copper Source-to-Metal Distance of 100m Shielding Effectiveness of Copper Source~to-Metal Distance of lkm Shielding Effectiveness of Copper Source-to-Metal Distance of 10km
MONEL
NN NN [a]
13 .15
Equipment Bleed
Shielding Effectiveness of Source-~-to-Metal Distance Shielding Effectiveness of Source~to-Metal Distance Shielding Effectiveness of Source-to-Metal Distance Shielding Effectiveness of
Monel of 10cm Monel of Im Monel of 10m Monel
vs.
Frequency
for
vs.
Frequency
for
vs.
Frequency
for
vs.
Frequency
for
vs.
Frequency
for
vs.
Frequency
for
Mo N
Flame Spray Wire Metallizing Gun Thermo Spray, Metal Powder Metallizing Gun Plasma Flame Spray Metallizing Gun Shielding Effectiveness of Screen Wire to Plane Waves Light Transmission of Conductive Glass Shielding Effectiveness of Gold vs. Frequency for Source-to-Shield Distance of 1m Shielding Effectiveness of Gold vs. Freguency for Source-to-Shield Distance of lkm Aluminum Thickness and Weight vs. Frequency Correction in Shielding Effectiveness to Convert MIL-STD-285 Results to Another Distance
Source-to-Metal
no
for
Surface
~n
Interior
vs.
M
Coatings
on
Copper
vs.
Freguency
for
vs.
Frequency
for
vs.
Frequency
for
vs.
Frequency
for
.15 17 17
™
Functions
Coating
to
.21 2.25
N
2.11 2.12 2.13 2.14
Enclosure Conductive
Thicknesses
Relative
.26 NN
2.10
Conductive
Metal
.27 .31 .37
I
2.9
for Various
Conductivity Resistances
I
2.8
X
2.4 2.5 2.6 2.7
Minor Hysteresis Loops Shown on Magnetization Curve Portrayal of Real World Situation Relative Permeabiiity vs. Frequency Relative Permeability vs. Magnetic-Flux Density Surface Resistance of Copper vs. Volume Resistivity
=
2.3
o~
LisT oF [LLUSTRATIONS
C.1
c.2 C.3 C.4
C.5 C.6
APPENDIX D D.1 D.2 D.3 D.4 D.5 D.6
APPENDIX E E.T
E.2 E.3 E.4 E.5 E.6
NICKEL
Shielding Effectiveness of Nickel Source-to-Metal Distance of 10cm
Shielding
Effectiveness
of Nickel
Source-to-Metal Distance Shielding Effectiveness of Source-to-Metal Distance Shielding Effectiveness of Source-to-Metal Distance
Shielding
Effectivenass
of Im Nickel of 10m Nickel of 100m
of Nickel
Source-to-Metal Distance of Tkm Shielding Effectiveness of Nickel Source-to-Metal Distance of 10km
IRON
Shielding Effectiveness of Source-to-Metal Distance Shielding Effectiveness of Source-to-Metal Distance Shielding Effectiveness of Source-to-Metal Distance Shielding Effectiveness of Source-to-Metal Distance Shielding Effectiveness of Source-to-Metal Distance Shielding Effedtiveness of Source-to-Metal Distance
HYPERNICK
for
Frequency
for
vs.
Frequency
for
vs.
Frequency
for
vs.
Frequency
for
vs.
Frequency
for
vs.
Frequency
for
vs.
Frequency
for
Iron vs. of 10cm Iron vs. of Im Iron vs. of 10m Iron vs. of 100m Iron vs. of lkm Iron vs. of 10km
Frequency
for
Frequency
for
Frequency
for
Frequency
for
Frequency
for
Frequency
for
Shielding Effectiveness of Hypernick for Source-to-Metal Distance of 10cm Shielding Effectiveness of Hypernick for Source-to-Metal Distance of Im Shielding Effectiveness of Hypernick for Source-to-Metal Distance of 10m Shielding Effectiveness of Hypernick for Source-to-Metal Distance of 100m Shielding Effectiveness of Hypernick for Source-to-Metal Distance of Tkm Shielding Effectiveness of Hypernick for Source-to-Metal Distance of 10km
xi
Freguency
vs.
Freguency
vs.
Frequency
vs.
Frequency
vs.
Frequency
vs.
Freguency
vs.
Frequency
oo
APPENDIX C
of 100m Monel vs. of lkm Monel vs. of 10km
W
B.6
Source-to-Metal Distance Shielding Effectiveness of Source-to-Metal Distance Shielding Effectiveness of Source-to-Metal Distance
4w ™
B.5
N
L1sT OF ILLUSTRATIONS
LisT OF [LLUSTRATIONS
F.4 F.5 F.6
APPENDIX G G.1
G.2 G.3 G.4 G.5 G.6
HIGH PERVEABILITY
Shielding Frequency Shielding Frequency Shielding Frequency Shielding Frequency Shielding Frequency Shielding Frequency
Effectiveness of High for Source-to-Metal Effectiveness of High for Source-to-Metal Effectiveness of High for Source-to-Metal Effectiveness of High for Source-to-Metal Effectiveness of High for Source-to-Metal Effectiveness of High for Source-to-Metal
xii
vs. 10cm vs. 1Im vs. 10m vs. 100m vs. 1km vs. 10km
FreFreFreFreFreFre-
Permeability vs. Distance of 10cm Permeability vs. Distance of Tm Permeability vs. Distance of 10m Permeability vs. Distance of 100m Permeability vs. Distance of Tkm Permeability vs. Distance of 10km
o
F.3
78 Permalloy Distance of 78 Permalloy Distance of 78 Permalloy Distance of 78 Permalloy Distance of 78 Permalloy Distance of 78 Permalloy Distance of
O
F.2
Shielding Effectiveness of quency for Source-to-Metal Shielding Effectiveness of quency for Source-to-Metal Shielding Effectiveness of quency for Source-to-Metal Shielding Effectiveness of quency for Source-to-Metal Shielding Effectiveness of guency for Source-to-Metal Shielding Effectiveness of quency for Source-to-Metal
o
F.
78 PERVALLOY
@
APPENDIX F
LIST OF SYMBOLS AND ABBREVIATIONS dB dB
absorption
loss
re-reflection velocity
of
cm
centimeter
Cu
copper
dB
decibel
Napierian
dB
loss
in
0.01
0.1
Bel
base
=
electric-field frequency
dB
electromagnetic =
=
in
meter =
=
10
wave
in
0.3937
air
=
1//ue=
3x108m/sec.
inches
loglo(power
ratio)
2.718
strength
in volts/meter
in Hertz
iron frequency
in MHz
magnetic-field
current
in
imaginary A/2nr
strength
=
=
E fields;
wave-to-metal meter
amperes/meter
amperes operator
for
in
100
angle
m/2
=
90
2nr/i
for
H
fields;
impedance cm =
1000
ratio, mm
=
degrees
Zw/Zm
39.37
=
= VSWR
inches
1
for
=
3.28
39.37
mils
plane
for
K21 feet
0.001 inch = 2.54x10 >cm = 25.4 um millimeter
=
nanometer
=
0.1
cm
10_9m
=
distance
from
distance
r
shielding
time
0.001
10-6mm
meter =
emission
=
10~3um
source
to
=
39.37x10_6 metal
barrier
loss
in
dB
(loss) (excludes
in
dB
re-reflection
thickness in
ratio
seconds
of
metal-thickness
voltage
in
voltage
standing
impedance
mils
in meters
effectiveness
reflection
metal
EMI
=
to
skin-depth
volts in
wave
ratio
ohms
barrier
metal
impedance,
circuit
impedance
in
Zm
ohms
xiii
for
any
t/$§
ratio
loss)
waves
LisT oF SyMBOLS AND ABBREVIATIONS
/fi;7€;
=
=
a+jB
NN
=
plane-wave
N
1
E/H
R
>»
attenuation
W
t/§
phase
X
for
propagation
1
metal
voltage
3
of
transmission
coefficient
from
air
3
impedance
transmission
coefficient
from
metal
impedance
377
=
1207
ohms
constant
constant
o
skin
™
or
permitivity
m
ma
= wave
impedance
absolute
wave
depth
in
1§
constant
transmission
medium
=
permitivity =
permeability
absolute
air
to
air
medium
permeability relative
micrometer
=
voltage
wave
or
10—6m
=
=
of
air
= 47x
to
air
(or
10—3mm
reflection
=
to
coefficient
from
metal
of
medium
conductivity
relative
frequency
in
in to
henrys/m
mils
coefficient
reflection conductivity
lO—7
0.3937
air
surface
farads/m
copper)
from
in
interface
pour
coefficient
impedance
air
to
= 1/367%x10°
reflection
radial
interface
c/f of
permeability
metal
€8,
of
relative
wavelength
to
metal
of
permitivity
coefficient
mhos
metal
interface
air
interface
to
per
unit
distance
copper
radians/sec
= 2nf
ohms
impedance
(or
resistance)
xiv
in
ohms/square
(HAPTER 1 SHIELDING THEORY Eighty per cent of this handbook is design data of shielding effectiveness vs, several variables including metal type, metal properties, thickness, distance, frequency, etc. Most of the design and applications data are presented in the appendices. Basics and fundamentals of shielding are presented in Chaps. 1 and 2. Chap. 3 covers information on how to use the design graphs in the appendices including constraints and illustrative examples. This chapter, Chap. 1, presents tutorial information on shielding theory and materials. This includes field theory, near and far-field definitions, wave impedance, metal barrier impedance, absorption loss, reflection loss, and overall shielding effectiveness.
1,1
FIELD THEORY
The purpose of this section is to present some relations about magnetic, electric, and electromagnetic fields as pertinent background to understanding and applying field theory. Since the literature is replete with discussions of Maxwell's equations and field theory, only a few aspects are presented here. The
oscillating from
E
electric
applying
8
doublet
(tiny
Maxwell's
ZoID7T sind _—__;E—___ 2ZoIDT
(Eg,
A
A
Er = T[(z‘?) H¢
where,
2 IDr sing|{_ [(2“1) = —-—)\2
and
dipole
equations:
ol
cos6
E,)
\3
)3
magnetic
(Hy)
in which
cosy
A Tnr
-
V2
fields
its
length
. siny
A + Tur
existing
(D
(1.10) :
Z521T
ZOZWr
Fig,
1
—3
(1.11)
> z, 1.4
impedances
(1.12) for
of
several
50,
To the extent that these conditions exist, the ohms. ion line impedances, then, never permit either a very wave impedance condition to exist when r >we and t>>8%
Q/sq.,
air
for frequency
(Eq.
(1.22))
is
in MHz
a purely
stant, whereas the intrinsic impedance of a metal resistive and inductive component. Consequently, the permeability and conductivity of the metal. Eq.
(1.24)
may
be
expressed
|Zm|= where,
Eq.
0
The
skin
369"urfMHz/or
conductivity
of
copper
o,
=
conductivity
of
metal
is
plotted
barrier
depth,
§:
in
Fig.
impedance
_a+) =3
Egqs.
1.5
of
oz
As
described
which
quency
is
approaches
a metal
=
later,
very
%% Two skin depths current flow. For
Often
con-
to
copper:
(1.25)
and
much
zero,
g
is
(1.26),
to
value)
copper
metals
sometimes
the
L
Y/Tfuo
surface
greater
&+,
various
mhos/meter
expressed
t,
terms
ohms/sq.
(1.26)
and
skin
Z 0.
the
is
defined:
>t
impedance
than
depth
skin
(1.27) is
based
depth,
on
t>>§.
a metal
= 86.5% and three skin depths = 95.0% of 99% of the current flow, 4.6 skin depths
thickness,
in
the surface thickness of a metal at any 63.2%%* of the current is flowing therein.
H
the
= 5.80x107
(absolute
as or
(1.23)
for
a=_/g'=l\/%§:= *
relative
relative
metals
/2=
The skin depth is defined frequency for which 1-1/e
ness
resistive
contains an equal Z; depends upon both
uQ/sq.
=
combining
(1.24)
=0.X0,
Zm
By
terms
o,
(1.25)
of
in
(1.23)
is
considered
1.9
to be
adequate
As
the are
when,
thick-
the
fre-
total required.
t>36.
METAL IMPEDANCE Sec. 1.3
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HE000
o004
ZHY00L
T
"
000
3
2
o ¥
to:
200"
o
w
o—_w
o3
.83 g
55
-
2aao
5
8
S 2
10"
20
)/2m), but do not result in the same SEdB in the near field since the wave impedances are different.
Fig. 1.8 shows the conceptual mechanism for determining shielding effectiveness. It is detailed in Fig. 1.9 and may be explained as follows. The incident field strength (an electric field is illustrated here) is considered as unity relative to itself. The reflected field
is:
- 1-K"_ P=Ix
-1
=0
for K >>
Zw
= wave
1 in Eq. applies if Eq. (1.50)
of
to
Eq.
(1.51)
as
the
voltage
standing-wave
(1.50). When Z,/Zy < 1, is defined as Eq. (1.51)
The relative transmitted field, Fgm»> metal-to-air barrier material is:
T of
0 > K
K = ZW/Zm
=
the
for
(1.47)
_ 1K Pam = T4
E,
The
(1.46)
forK=1
=41
where,
1
=1-p
just
the VSWR in which
inside
ratio
(VSWR)
concept still Im/Zy > 1.
the
left
edge
(1.52)
This field undergoes an attenuation in traversing the thickness the metal barrier which turns the associated loss into exothermic
1.15
of
Sec, L.4
SHIELDING EFFECTIVENESS
INSIDE
Reflected
Wave
Barrier
Thickness,
Air
of
1 Pam
11—
Pamt— | T
(1
=
-
|Pha(1-Pam)e
Wave
2yt
e
2
.
Incident
-
T T e
Pmall-Pam'e
-2yt \\
\
Outside
Shielding
/
a1
e
P.ml€
T
Plane
(1-p
-
\
oo
2
\\pma(] Pam)®
Waves
-
) (1=
)e
-
‘t
e | ————————
Emerging Wave Beyond Shielding
'
Barrier
Pam
) -yt
——
/P
VAR
Wave
Air
—n—
Barrier
Metal
._T-
Reflected
for
Phenomena
Shielding
of
nternal
—
t
Representation
-
1.8
Figure
t
Wave
Attenuated Incident Wave ~
H, —t
QUTSIDE WORLD Metal
Transmitted
Wave
2
ENCLOSURE
\
Incident
OF
-3yt
(1-p ) (1= —_—
/—1—————’
Barrier
)08
-3yt
etc.
s=——
»
Metal
Propagation
Figure 1.9 - Geometry of Effectiveness (See Text)
Thickness, Constant Metal
t——
y = o + Jj8
Barrier
1,16
Used
=1_
in
Explaining
Shielding
i
Sec, 1.4 heat. at the
SHIELDING EFFECTIVENESS
The arriving right inside
Ty
= Pame‘yt
= e—(a+j8)tfam
propagation
comstant
o = attenuation
constant
=
Y
where,
field results in a lower edge of the barrier:
B = phase
constant
t = metal
thickness
strength
Trr where,
Pma
Pmalar =
= metal-to-air
The relative barrier is:
pma(l
reflection
transmitted
field,
Tpp == 10 1- T,0 == e Eq. (1.55) is the tive number) when
shielding y>>1,
at
the
inside
pam)
to
the
(Eq.
right
(1.51)). just
outside
(1 pam)(l _ pma) expressed
as
a gain
(a nega-
When the propagation round-trip re-reflections
constant is not significant, one or more must be considered. For example, the re-
shift in propagating back interface of Fig. 1.9:
to
the
FRRe
e Vo
reflected
field
of
Eq.
(1.54)
=7
PLR The re-reflected barrier is:
field =
FLL field
tive
undergoes
e
YE,
strength, I IR -=
p
a second
inside
©
edge
pma(l T LL?
-2yt
P 2
attenuation
of
the
left
(1 - P
strength,
Tpp,
v
FAR
the
left
Finally, metal barrier
the is:
transmitted _
réT,_
=Yt
-
3
=3Yt
component
T (l_pma)rAR
=
e
1.7
»
Pra of
-3yt
1
_ 1
this re-reflected edge, the rela-
(1.58)
to
1
-
inside (1.57)
©am
Tpp 2 Pra
edge
)
becomes:
FLLe
phase
(1.56)
Undergoing a third attenuation and phase shift of in arriving back at the inside face of the right
field
and
metal-to-air
[ pam)
from
the
(1.55)
YE[(_
effectiveness
right
(1.54)
coefficient
Ipp,
(1.53)
jB8
+
a
=
©
impinging
= e_(a+j6)t(1-93m)
The re-reflected relative field strength I'gp, of the metal-to-air barrier of Fig, 1.9 is:
edge
metal
field
the
fam
right
!-0
outside
the
(1.59)
Sec, 1.4
SHIELDING EFFECTIVENESS
Since the re-reflected the direct transmitted
field field
component of Eq. (1.59) of Eq. (1.55), they are
ry = e—Yt(l—pam)(l~pma)[%
. zYtpéa S
is coherent with coherently added:
4Yfg;a + ....‘]
(1.60)
First Multiple RoundRound trip Re-Reflections trip ReReflections The terms in the bracket constitute an infinite series (i.e., an infinity of re-reflections). The bracket expression can be simplified by writing this series in terms of its reciprocal. Thus, Eq. (1.60)
becomes:
r,o=e V10 T
)1-p
am
)(1-02ma 727t o
ma
(1.61) °
Eq. (1.61) may be expressed in terms of the impedance ratio of metal and metal-air interfaces by substituting Eqs. (1.50) and therein:
_
—atf2k
2
_ —at 4K _i~m
[l
Ip = e
Expressing
rather
SEdB
than
_
20
a
Eq.
gain,
(1.63)
and
loglo(l/TT)
where,
Re-Reflection
K-112 -2y¢ |71
(11'15) (m)[l - (R:q) e S——
as
_
20
K-1)2
_(E‘T'T)
e
]
(1.62)
-2vt|~! ]
(1-63)
S
Re-Reflection Correction Reflection Term (R) Absorption Term (A)
a loss
converting
=
the air(1.51)
loglo{}
(i.e.,
shielding
o t{(1+K) 2
K-1\2
it
to
decibels,
(B)
effectiveness)
there
P—ZK——-[%—(KII>
Term
e
results:
-2yt
(1.64)
Absorption
Loss,
AdB
= 8.686aut
(1.65)
Reflection
Loss,
RdB
=
(1.66)
Correction,
BdB
=
20
20
loglo(l+K)2/4K
loglotl-éKrl)z/(K+l)%k_zyt
(1.67)
Eq. (1.64) is plotted in graphs in the appendices in this handbook for several metals, metal properties, metal thicknesses, distances, and frequencies, This question will now be examined in further detail of its three loss components: ( 1) absorption loss, (2) reflection loss, and (3) re-reflection loss correction.
1,18
Sec, 1.4 1.4,1
SHIELDING EFFECTIVENESS ABsorpTION Loss
Eq.
(1.65)
may
be
expanded:
AdB where,
Yy =
a +
jB
a
=
(1+j)
=
B8 =
since
g
>>
where,
(1.4)
for
metals
(1.69)
¥Ynfuo
(1.70) for
metals in in
(1.71) terms cm it
of t in becomes
mils (thousandths of for both the English
fMquror
dB,
English
=
1314.3tcm
fMHz“rcr
dB,
metric
and
(1.72)
o,
are
and
permeability
(1.73)
are
and
plotted
units
(1.72)
units
(1.73)
conductivity
in
Figs.
1.10
relative
to
through
1.17
copper, aluminum, brass, beryllium, monel, the exotic high-permeability metals¥*,
iron,
reflection loss relations are predicated upon at the metal-barrier interfaces. Thus, it is
the
for
Zy
impedances and
of
Eq.
(1.23)
Eq.
for
(1.49)
by
Zp:
Z,
where,
k = A/2mr
= 1/2nrf
k =
2rr/A
=
1
far
= Combining
For
copper
for
stain-
their
an impedance useful to sub-
equivalents
from
K = EE _ e kK A uo/so O/ A O N
*
an and
RerLecTioN Loss
The mismatch
stitute
we
3.338tmils
various metals: less steel, and
1.4,2
(1.68)
=
M
Egs.
8.686t vV mfuo
Vnfuc
If Eq. (1.68) is defined inch) and f in MHz, and for t metric system of units: AdB
=
= Yjwu(o+tjwe)
= Yjwuo
or,
= 8.6860t
Eq.
magnetic
stipulated
(or flux 2.1.4).
uy
for (1.74)
2nrf
materials and
r >
H
fields
1.74
:
(1.75) (1.76) (1.77)
yields:
the
varies
frequency,
low-impedance,
E fields
\/2m
(1.77)
(u,>1),
which
for high-impedance, for
fields,
through
condition
density)
AN
(
(+y)/mEu/o
Vuoao
Eq.
graphs
with
especially
ll]-g
are
both
accurate
only
magnetic-field
above
several
kHz
for
the
(see
Sec.
strength
SHIELDING EFFECTIVENESS N
J49ddo)
Jo0i
ZHY00L
Aauanbau 4
ssauydoLyl
WN
pue
Adusnbau4
"SA
ss07
uolriduosqy
L
ydedn
siyp
- QL |
Ajp
is
Eq.
1.4.4
given
(1.92)
in Eqs.
is
(1.72)
plotted
in
and
Fig.
metal-barrier
~2Y I
(1.91)
. -3sin0.23A45 )| (1.92)
1
- 20 l°glo(l _ e—ztwhfuoe-jzt/wfuo) where,
and
(1.93)
(1.94)
(1.73)
1.18.
ToraL Losses For K >> 1
It may be a bit misleading to think of a reflection loss and reflection correction as separate terms. After all, a reflection should be the entire loss including re-reflection.
For
certain
_
SEdB
=
conditions,
20
loglo {e
where, wave
For
conditions
]
in which
mismatch
=
e
20 log,
When in
Eq.
vt
(or
(1.96)
t/§)
may
is
be
(1.64)
for
(1.95)
metal
K >>
1,
for
barrier
Eq.
K
- e—Zt/de‘th/6) Total
small
expanded
simplified:
(R'—"T)
t/s ’4_Ig( 1-e _ -2Yt)
very
greatly
= o = Jrfuo
i.e.,
¢/¢ %y(l
be
K-1\2 -2yt e
-
a substantial
Absorption Loss
term
may
[l
v//f
exists,
SE a8 = 20 log10
(1.64)
t/8| (K+1)2 7K
1/8 impedance
Eq.
1.29
a
impedance
(1.64)
>>
1
for
and
becomes:
(1.96)
K >>
1
(1.97)
Reflection Loss
(i.e.,
in
reloss
yt
power
—
X
o
§
g§a
s
.
zWiol
§=
S€
SL
zZ o3 2z
02
25
0
08 2E €0 g s
0§
s
0L
@
ZWiooL
S
002
2,31
Sec, 2.2 (475
SHIELDING DENSITY
(2)
3 m distance;
t = 6.8 mils
grams/mz).
Thus, aluminum away since the applications.
(175
um)
and W/A = 1,55
oz/ft?
will not work for magnetic sources which are only 10 cm shield would be too thick and heavy for weight-sensitive
It remains to compare the options in the above example for metals other than aluminum in order to determine if a lighter metal can be found with the same shielding effectiveness. The answer is obtained by using Eqs. (2.19) and (2.20) in which the ratio of tpj; is formed from
the
two
(or
more)
candidate
metals:
_ 9r1 (tmil)ratio
Eqs.
using
Table
(2.24)
and
(2.25)
the
information
2.4
- Relative
Metal Copper Monel Brass Steel S3 Netic Titanium Aluminum Magnesium
are
in
(W/A)ratio
=
computed
for
Tab.
2.2.
Thicknesses
the Same
Shielding
(Efiii)ratio
(2.24)
- 92
and
(W/A/mil)2
91
(w/A7mil)l
99
Tab.
Weights
2.4 of
Effectiveness
relative Some
(W/A/mil) yatio
1 24 .4 2.13 50 5.81 27.8 1.59 2.63
1 0.989 0.953 0.877 0.868 0.507 0.304 0.193
(2.25)
(see
to
Metals
copper for
by
Yielding
Constraints)
(W/A) ratio 1 24,1 2.03 43.9 5.05 14.1 0.483 0.509
The above table shows that steel is a very poor low-frequency magnetic shield as long as it is operated under t/§ 10), Eq. (1.64) becomes: =20
loglo(0.707Kt/6)
SE,. dB = 20 log where,
K = k =
Zw/zn1=
10
for
loss
for
is
significant
t/81
k x constant
A/27nr
reflection
(1.101)
Eq.(1.74))
E-fields
= 27r/A
for H-fields
=1
for
plane
waves
When Eq. (1.100) or (1.101) is applied for MIL-STD-285 for any two distances an error is developed which is a function of k alone. Thus, for any measurement distance, rp, and any user applied distance of ry, the correction in shielding efficiency, ASEqp, becomes:
ASE . = 20
loglo(rm/ru)
for
E-fields
(2.26)
=-20
loglo(ru/rm)
for
H-fields
(2.27)
for
plane
(2.28)
=0 in which
it
is
understood
that
both
rj
2,35
and
r;
are
waves in
the
near
field.
MIL-STD-285
Sec, 2.3 When one of the distances is the far field, Eqs: (2.26) and
in
ASEdB
=20
loglO(Zflrm/A)
in the (2.27)
for
E-fields,
r, =
20
loglO(A/ZWru)
in
for
loglO(anu/A)
in
for
log10
O/Zflrm)
for
(2.26)
distance
through
of
r;
ITlustrative
=
(2.32)
0.305
Example
m(12
are
in near
other
(2.29) r,
in
near
and (2,30)
and
r,
in
near
and (2.31)
and
r
in
near
and
fields
plotted
in
and
(2.32)
Fig.
any
is
and
field
far
inches)
the
field
far
in
r
and
H-fields,
r,
Eqs.
far
in
and
field
H-fields,
r 20
far
and
E-fields,
r = 20
near field become:
2,20
user
for MIL-STD-285
distance,
r,,
as
shown.
2.5
A manufacturer's literature states that per MIL-STD-285 a metalized silicone elastomer offers at least 90 dB of shielding effectiveness to E-fields at 10 MHz, 30 dB shielding effectiveness to H-fields at 10 MHz Determine the likely shielding efand 70 dB to plane waves above VHF, fectiveness at a distance of 10 meters,
From
and =
to
67
the
H
dB
Fig.
and
far
2.20,
fields
is
SEgp
field
+
the
23
correction
dB.
(H-field)
(ry>)\/2m)
at
ends at 4.8 MHz (ry = A/2m). (plane waves) = 70 dB, [1lustrative
Example
=
53
10
dB.
foil Since
(see at
a
curve
both
5
cm
a 10
Note
m
that
the
there
at
ry = 10
distance the
ry
is no
SEyg
10
= 10
m
m
m is
-23
(E-field)
distance
line
correction
in
for
is
Fig.
SEgp
dB in
2.20
2.6
this
dB
E fields
since
Thus,
The shielding effectiveness of aluminum was measured at
50
for
MHz,
foil
be
to
Thus,
M,
Fig.
distance
conditions
ASEgp = 20 logjg(5cm/100cm) 26 dB = 24 dB.
2.19). from
are
in
to H-fields of a 1 m distance a
What
protection
hostile
the
= -26 dB.
2.%
two mils (51 um) sheet at 42 kHz and found to
near
magnetic
field,
would
Eq.
be
field?
(2.27)
offered
applies,
Thus, SEgg (H-field) = 50 dB -
by
MIL-STD-28 Sec. 2.3
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apoL Z Ps prats-3 pazoaudooun (1) 10.2) magnetic metals, Appendix A (copper) is used, while for 0r < 0.2 magnetic metals, Appendix B (monel) is used. After selecting the appendix letter to use from either Tabs 3.1 or 3.2, as applicable, it remains to select the correct design graph within the appendix. Each apperdix subset is based on the distance between the EMI emission source and the metal barrier., Six such subsets are presented in each appendix as shown in Tab. 3.3 (the X corresponds to any appendix letter, viz., A.B.C, etc.). Having selected the applicable graph within the appendix, it remains to apply the graph to the problem, The graph may be used to determine either: (1) the resulting shielding effectiveness given the
metal
thickness,
required
metal
operating
thickness
frequency,
given
the
and
desired
3.2
E or H-field shielding
problem,
(2)
effectiveness,
the
Sec, 3.1 Table
How To Use THE DESIGN GRAPHS
3.2
- Metal
Class
for
Choice
of Appendix No.
>300kHz
tal
1,
1
Co
Use
Metal Mumet
e Brass 917% 66% Brass Cadmium Chromium
to
Nicke Pe
Cu, Cu
34% %
1
Permall ermallo
Z
78 -
r
Steel,cold-rolled
rnick
H
Hiperco
Iron, ron Iron, Lead
=
e
commercial e ur cone 4% S
Su
Magnesium
anganese
Merc Monel
Table
3.3
Figure
operating lower metal
Appendix
- Applicable Number
Design
Nominal
Ry = 10cm
X.2
Ry
X.3
Rp = 10m
X.4
Rp
=
100m
X.5
Ry
=
lkm
X.6
R,
=
10km
and
useful frequency thickness, and E
for
Distance
X.1
frequency,
Graph
=
Applicable 30cm < Ry £
3m< Ry < 30m < R < 300m
p
06
KEYS
Ags £
7
gx$y
80
31;(1)3 31
71
CHS
RCL
40
CHS £ N
X
04
3407
02
80
Registers: Rl Frequency
R2.g, R3
ur
in
MHz
R4
¢t in
mils
R5 Ry in meters R6
Eor
H
1
or
3.8
Steps
71 3401 3402 09 71
CHS STO 7 RCL 8 1 = £ Vx RCL 7 £ LN
Program
EFFECTIVENESS
71
RCL 3
17,{
EEX
40
40
3401 81
7
SHIELDING
Title:
L R 42
LBL
30
0
Effectiveness
Shielding
f## 1513Program.
Card
0
- HP-65
3.4
Table
2
R7
working
R8
working
R9
80
42 32 07
35
08 02
50
100
Sec, 3.3
ILLUSTRATIVE EXAMPLES
3.3.2
ILLUSTRATIVE EXAMPLES
The following examples will serve to illustrate the use of the HP-65 shielding effectiveness program, The results may be compared with those in the appendices* or in Sec. 3.2.
Example
#1
A sheet
of
1/16
inch
(i.e.,
62.5
to shield a box from a strong magnetic generator located 5 feet (1.52 meters) effectiveness in dB,
mils)
field away.
iron
is
being
considered
originating from a 60-Hz Compute the shielding
After loading the magnetic program card into the HP-65 calculator, key in fyp, = 60 x 10~ MHz = 60 EEX 6 CHS (sTO 1), 0y = .17 for iron (STO 2), uy = 1000 for iron (STO 3), t = 62,5 mils (STO 4), Ry = 1.52 meters (STO 5), and 2 for H-field (STO 6). To see shielding effective-
ness,
key
Example
label
"A"
and
see
24
dB,
#2
A piece of sensitive electronic equipment is located near (100 m) an A-M broadcast station antenna transmitting at 1250 kHz, Determine the shielding effectiveness of a 1/32 inch (31.25 mils) sheet metal aluminum box enclosure to E-fields or plane waves, as applicable. After loading the magnetic program card, key in fva, = (8TO 1), Oy = .61 for aluminum (STO 2), p, = 1 (STO 3), t = 4), Ry = 100m (STO 5), and 1 for E-field or plane wave (STO
see
shielding
effectiveness,
key
label
"A"
and
see
196
dB.
1.25 MHz 31.25 (STO 6). To
Note
that
196 dB would never be obtained in practice because of the penetrations required into and out of the box (see Chap. 11, Vol. 3 EMC Handbook Series). Also note that the near/far-field interface (Rp = A/2m) exists at 38.2 m. Thus, the box is located in the far field of the transmitter and plane-wave conditions apply rather than E-field conditions.
Example
#3
A ground-level nuclear detonation produces a broadband electromagnetic pulse (EMP) with most of its energy distributed in the 10 kHz band. From a distance of 5 km, the blast center looks like a magnetic source having billions of amperes. To protect electromagnetic equipment, specify the thickness of both aluminum and sheet steel to provide 300 dB isolation,
Key fyp, = .01 MHz (STO 1), o, = .61 (STO 2), uy = 1 (STO 3), t *
1If you like this program, other HP-65 EMC programs.
contact
S
Don
White
Consultants,
Inc.
for
Sec. 3.3
HP-65 SHIELDING EFFECTIVENESS
(this is a 2 (STO 6).
try
Again
mils,
(this
guess) = Key "A"
t = 1 inch try
t
it
=
is
For
a
(1000
800
seen
the
is
250 mils (STO to see SEgg =
sheet
guess)
mils
mils
that =
- STO
(STO
4)
SEgp
steel, 100
4),
key
o,
(STO
dB. =
Ry, = dB,
and
and
= 308
mils
4), 191
key
.17
4).
5000 m (STO 5), and H/PW = Since this is inadequate,
again
"A"
key
to
(STO 2),
Key
"A"
see
to
334
dB,
u, = 1000
"A"
to
see
SEgg
see
387
For
(STO =
526
1300
MHz
Next try t = 1/16 inch (62.5 mils) to see SEgg = 362 dB. mils, the shielding effectiveness is 308 dB, the same as aluminum,
dB.
t =
3)
700
and
dB.
t
For t = 50 700 mils of
Examgl e #4 A nearby an
(500
electric-field
m)
L-Band
strength
weather of
100
radar
V/m
in
operating
an
at
internal
room
in
a
creates
build-
ing where a computer is to be located. It is known that the computer, its peripherals, and all interconnecting cables will not be susceptible to radiation below 3 V/m, Thus, determine a relatively inexpensive shield for the computer room.
The required shielding effectiveness is the ratio of the electricfield strengths or 100/3 which equals about 31 dB, Consider the shielding effectiveness of 1 mil (25.4 um) household aluminum foil as one
possible
solution,
(STO
oy
lired
with
1),
Here
overlapping
=
.61
(STO
the
joints
2),
uy
walls,
taped
= 1
ceiling, in
(STO
place.
3),
and
flooring
Key
fyg,
t = 1 mil
=
(STO
would 1300
4),
be
MHz
so
R, = 500
m (STO 5), and E/PW = 1 (STO 6). Key "A" to see SEgqg = 169 dB, Thus, the aluminum provides an enormous shielding effectiveness and it remains to insure that door seams, power entrance, and the like do not create the mode of EMI entry.
3.10
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4,12
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