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The Truth and Untruth about
Electrically Small Antennas
The word peerless caught in the throat of Jerry
Sevick, W2FMI who had written a book
entitled “Transmission Line Transformers”, 2 nd
Edition published by the ARRL in 1990. Jerry
considered that his transformer type, a bifilar wound
choke type balun on a toroidal core, was superior ---
and perhaps only he knew how to design them.
John S. (Jack) Belrose, VE2CV, VY9CRC
The title of my talk suggests that there are controversies
concerning the performance of electrically small
antennas, and indeed there are concerning in particular
two very different types of antennas: the so-called
crossed field antenna (CFA) and a follow on version the
EH antenna, and compact transmitting loop antennas.
This resulted in a controversy that went on for a year or
two. Jerry wanted QST to publish a rebuttal article. I
never did see his draft manuscript, which was never
published by the ARRL. But his views were published
under the collective title “Baluns Revisited” in
Communications Quarterly in 1992, four articles, and in
CQ Magazine in 1994.
But there is a wider range of controversy: concerning
the basic concepts of transfer of power generated by a
high frequency tuned power amplifier to the
propagation media. I have been involved in this debate
for about 15-years, and so I will begin with a brief
discussion of this topic.
There is nothing wrong with bifilar wound choke
baluns, so called transmission line baluns, but provided
the VSWR is not too high --- in some cases for example
at MF this type is the preferred balun. For example see
the Figure below .
But first concerning controversies there is also a
controversy concerning the use or non-use of baluns,
and which balun to use. Since many antenna types are
balanced, and present day HFTPA’s are unbalanced,
and, since the preferred method of feeding antennas is
to use coaxial cable, rather than 2-conductor balanced
transmission line, a balun should, often must be used in
the overall antenna system design.
I have during the past 50-years published about eighty
papers, technical articles and technical correspondence
on antennas (and an equal number concerned with radio
propagation). The basic theme of my work has been
concerned with providing an understanding of the
characteristics of various antennas, and in particular
addressing the topic: performance of antennas in their
operating environments. Most of what I have written
has not generated controversy, at least prior to about
1991.
For the amateur in radio the W2DU ferrite
bead over coax is a good balun ( Figure ) --- it
exhibits slightly lower loss ( Figure ).
CONTROVERSY BEGINS--- WITH JERRY
SEVICK, W2FMI CONCERNING BALUNS
In 1991 QST published an article I wrote entitled
“Transforming the Balun”. The QST Technical
Editor added the byline:
“In this QST breakthrough, W2DU’s peerlers 1:1
current balun design serves as the basis for excellent
ferrite-bead-choke current baluns capable of 4:1 and
9:1 impedance transformation”
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Presented at the QCWA 2004 International Convention,
Amateur Radio Technical Session, Friday, October 15,
held at the Lord Elgin Hotel, Ottawa, ON, Canada
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Walter Maxwell, W2DU, Tom Rauch, W8JI, John
Fakan, KB8MU and I corresponded with WB for
several years, in an attempt to publish a QST article that
addressed our differing views --- but with no success.
In 1997 we gave up and published an extended article
in Communications Quarterly Fall 1997 issue,
expressing our view that for maximum power transfer
the HFTPA should be conjugately matched, and that the
effective output impedance of the amplifier under such
conditions was equal to the load impedance. We
further stated that this impedance was non-dissipative.
We presented the results of seven experiments, and one
of the experiments was the set-up initially exactly like
that used by Bruene, that supported our view (not his).
The following issue of Communications Quarterly,
Spring 1998 published Bruene’s rebuttal, a detailed
rebuttal claiming that every one of our experiments
were flawed, flawed, flawed.
Let me begin at the beginning by quoting from the
IEEE Dictionary:
“Resistance is also defined as the real part of an
impedance. Because the impedance of a network
deals with energy transfer, it has nothing to do with
where the energy came from, or what became of it.
The real part of the impedance of a network
therefore does not dissipate energy of itself. Only
that portion of the real part of an impedance that is
in fact a dissipative resistance will dissipate energy”.
Jerry send me several of his best baluns, which
unfortunately we destroyed during testing --- blue flame
arcing and smoke when subject to high VSWR and high
power (1 kilowatt). The W2DU ferrite bead over coax
balun did not destruct, excepting loss and heating
increases with increasing VSWR.
If we measure Vout/Iout , measured at the output
terminals of a properly adjusted PA, tuned for
maximum design power transfer, which in the practical
case is an antenna system, we can infer an impedance
Zout = Vout/Iout, which is equal to the load
impedance. But to measure Zout we have, as my long
time colleague Jim Wait, now deceased, told me, we
have to dissipate power. In other words operate the
power amplifier into a 50 ohm resistive load. To
measure Zout change the load a little bit, 5-10 percent,
and observe the change in Vout and Iout (rms values).
We have to make a small change in the dissipative load
resistance, because we do not want to change the
operating characteristics of the PA tube(s).
Whatever type of balun is used a current balun should
be used, and the balun should be on the input (tuned)
side of ther ASTU --- see my QST article in the
October 2004 issue of QST.
A CONTINUING SAGA
But the most controversial topic, I have folders and
folders full of correspondence, arose from the article by
Warren Bruene, W5OLY entitled “RF Power
Amplifier and the Conjugate Match”, published in
QST November 1991 issue. Warren wanted to discredit
Walter Maxwell, W2DU’s book “Reflections-
Transmission Lines and Antennas”, published by the
ARRL in 1990.
This means we have to accurately measure very small
changes in current and voltage. I show in the next
Figure a comparison between what we (Walter
Maxwell) measured compared with the controversial
curve presently by Bruene.
Bruene showed measurements (a curious set of
measurements) that in his view showed that the output
source impedance (referred to by him to be the source
resistance) of a tuned RF power amplifier was 5-times
the load impedance. This of course is wrong, but
Bruene has stuck to his guns to the present date. He
still thinks Walt Maxwell and I are wrong!!
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comparable to a mobile whip --- for example a 1.7 m
diameter loop at 1.8 MHz and at 3.75 MHz, and that
traditional formula for radiation resistance, developed
about 60 years ago was correct.
And present day simulation agreed with experiment.
Mike Underhill, G3LHZ for whatever reason disagrees
with most of what has been written on compact loops,
beginning with his attention grabbing paper “Magnetic
Loop or Small Folded Dipole”, published in an IEE
Conference Proceedings in 1997. And since that date
he has written five or six papers/articles, each more
controversial than earlier papers. In an article entitled
“The Truth about Loops”, published in the RSGB
International Antenna Collection, 2003 he states:
“the very low efficiencies (the few percent for the
very small loop size that I spoke about above),
predicted by simulation and existing theory are,
shown (by his measurements (??)) to be quite
frankly wrong by up to 1000 times (30 dB). How
can such measurements have been overlooked for so
long? It is a bit of a mystery and arguably a bit of a
scandal.”
Now let me return to transfer of power to an antenna
system. Zout inferred from Eout and Iout is a
nondissipative impedance --- we do not dissipate power
there --- this is the impedance associated with the
generation of power. We want to transfer that power to
the antenna system. Therefore the antenna system must
be tuned to provide a conjugate match to the PA. The
feeder coax is associated with an impedance ---
typically Zo = 50 ohms. Zo is the characteristic
impedance of the transmission line --- it also is a
nondissipative impedance.
G3LHZ considers the efficiency of such small loops
to be 80-90 percent, not a few percent.
Pat Hawker, G3VA, in his Technical Topics column in
RadCom, December 2002, I have contributed his TT
Column, discusses this difference of opinion, and he
challenged the antenna establishment to comment. My
response was a 2-part article published in the June/July
2004 issues of RadCom.
The matched antenna system presents an impedance
looking in Zas = Rr + Rloss. For an efficient antenna
system Rr (the radiation resistance) >> Rloss. Rr is a
non dissipative resistance, since power is not dissipated
in this resistance. Rr is an impedance associated with
the power that is transferred to the propagation
medium.
But the controversy has not ended. In the
August/September issues of RadCom G3LHZ has
published an even more controversial article entitled
“New truths about small tuned loops in a real
environment”.
Now before I run out of time let me discuss the topic of
this talk, The Truth and Untruth about Electrically
Small Antennas.
But my loops were in their operating environment.
COMPACT LOOPS
Mike seems to have gone completely bananas, but since
he writes under the title of a Professor in the School of
Electronics and Physical Sciences, University of
Surrey, I suppose there are some who believe that he
knows what he is talking about??
I have operations used, evaluated by experimental
measurement and by simulation (numerical modelling)
and written on small compact transmitting loops,
dating back to the mid-eighties --- in the amateur
literature let me refer to my November 1993 QST
article “An Up-date on Compact Transmitting Loops”.
He claims that his inferred intrinsic efficiencies, 80-90
percent, inferred not from measured field strengths but
from Q-factor based on measured VSWR, to be
confirmed by his proposed extensions of EM theory ---
Maxwell’s EM theory is not quite right, according to
Underhill,
I considered that the performance of such antennas
(perimeter/wavelength as small as 0.03 to 0.06) was
about what one would expect, a few percent,
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and the Somerfeld-Norton ground wave propagation
theory needs revision. He also disagrees with the Chu-
Wheeler Q criterion. And field strength measurements
over ground need to re-evaluated.
I could go on --- but I will stop there. My
recommendation is that we should stop reading what
G3LHZ has written --- since this will avoid further
confusion.
I cannot believe that such nonsense is published. We
do read nonsense published in some amateur literature,
but papers published by the IEE??
Let me tell you what I measure, and what I infer from
our numerical simulation studies ---- Figures.
I have numerically modeled various loop antenna using
NEC-4D, as a simple 1-turn loop, tuning capacitor at
the top (open squares), source on conductor, circles at
the bottom of the loop.
Since the loop is a high_Q inductive reactance antenna,
it can be tuned by means of a capacitor, and power
couped into it by means of a small auxiliary loop, the
size of which is adjusted so as to realized a 50-ohm
input impedance.
The Figure below shows the vertical radiation pattern
for a vertical 3.4m diameter loop, frequency 3.75 MHz,
base height 2m, compared with a half-wave dipole at
10m. Compare this figure with measured NVIS
performance, see below.
The measured bandwidths of AMA loops, VSWR < 2:1
is shown below.
The following Figure shows measured performance for
reception of a near vertical incidence skywave signal
(D2 for the dipole, and A2 for the loop). Notice that the
narrow bandwidth of the loop results in improved
reception of the monitored signal, in spite of the fact
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that the received signal is about a S-unit less than for
the dipole.
The Figure below shows the vertical radiation patterns
for horizontal loops (diameters 1.7m and 0,8m),
frequency 14.15 MHz, compared with a horizontal
dipole, antenna heights10m. A part of the gain
difference, loops compared with dipole, is that the
dipole has directional gain, the horizontal loop has an
omni-directional pattern.
In the figure below we show measured gain (dBi) for
a commercial loop (vacuum variable capacitor used
to tune the loop), for a NVIS path (100 km length),
compared with theory (numerical modeling using
NEC).
THE CROSSED FIELD ANTENNA
Professor Maurice Hately, G3HAT, Brian Stuart, and
Fathi Kabbary, a student of Maurice’s have dreamed up
a super controversial antenna. Not only has this
antenna type, and the new EM theory developed by
them to explain how the antenna works, confused the
amateurs in radio, but this antenna type has been
patented, and as well presented to a learned audiences,
the IEE in an Antennas and Propagation forum, and the
IEEE Broadcast Technology Society, but it has
attracted wide attention and is being sold.
For the amateur in radio, he wants to know the
space wave gain for distance communication links.
The Figure below shows the calculated gain in free
space for three AMA Loops.
The original CFA concept was a cylinder over a disk,
both fed, and fed in phase quadrature. The disc was
said to generate an H-Field, and the cylinder an E-field,
and these fields generated an out-going Pointing vector.
E/H, by adjusting the power fed, was said to be 377
ohms in the near field, which is what E/H is in the far
field --- perfect coupling to the propagation medium.
The intrinsic impedance of free space is 377 ohms.
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