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Old March 27th 05, 09:41 PM
Dave Platt
 
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In article uoD1e.110018$Ze3.66917@attbi_s51,
wrote:

There is a harsh limit, imposed by physics, as to how much gain that
approach can give you.


Agreed... Do you know what those limits are ?


Sure. The simplest way to state it is "the total amount of power
delivered by the antenna, summed over all of the possible angles of
radiation, must equal the total amount of power radiated by the
antenna."


If all of the energy from one hemisphere is redirected into the other
hemisphere, and if the forward-direction pattern shape does not change
(the forward lobe is not narrowed), then you have a forward gain of 3
dB (2:1 power ratio increase). You *cannot* have more, as this would
require that the antenna be radiating more power than it receives from
its input.


Absolutely incorrect. If I place the air of two balloons ,which reflect the
figure
eight,into one single balloon and where the laws of partial pressures do not
intervene
then you will have a balloon that is round and not elongated as the antenna
books
would have you suggest. "Gain" is a term used to to quantify a small
portion of the
energy contained in the mythical ball of energy. Since the collection of
energy comes
from different directions and phases the energy collection is layered
depending on
the influence of the earth. Thus the layers of radiation are distorted
where one layer
can be squeezed outwards further than other layers, thus the terminology
of "gain"


Jeez, Art, do you have any idea of just how thoroughly your response
qualifies as "Authentic frontier gibberish" (as a Mel Brooks character
once said)?

I'm sorry, guy, but I believe that you are trying to stretch analogies
far beyond the point where they actually apply to the physical
phenomena we're discussing. Your concept of "layers of radiation" (as
applied to the gain pattern of an antenna) simply doesn't add up.

If you are going to interelate the terms of "gain" and "power" then you must
define
the parameters used to allow that.


OK, let's do just that.

"Power" is very well defined - it's the rate at which energy is
delivered. Pick your units for energy and time as you choose. It's
conventional to use watts for power, joules for energy and seconds for
time. One watt, equals a rate of energy delivery of one joule per
second.

"Gain" is a ratio. In discussions dealing with antennas, the gain
describes the ratio between the amount of power delivered by a given
antenna in a given direction, to the amount of power delivered in that
same direction by a "reference" antenna (a dipole in the case of a dBd
gain number, and an "isotropic" antenna in the case of a dBi gain
number). The gain figures in dB are logarithmic.

Those are the definitions everyone uses, I believe.

If you, personally, are using different definitions than these, then
our discussion (you vs. everyone else) should probably stop right here.

Here's my rationale behind the statement I made about the limitations
of your approach:

- An isotropic antenna has a gain of 0 dBi, by definition.

- If you "cut off" the entire rear side of an isotropic antenna's
pattern (so that it radiates no power backwards), and precisely
overlay this power (energy flow) onto the forward half, you'll end
up with a "half-isospheric" antenna. It's radiating exactly the
same amount of power, but over only half as much target area. The
power (energy flow) towards each point in that targeted hemisphere
will be exactly twice as much as in the isotropic antenna.

This antenna has a gain of 3 dBi plus a hair.

It cannot have *more* gain in any direction (more power into a
sub-portion of the hemisphere) unless it has *less* gain in another
portion of that hemisphere... in other words, unless is starts
exhibiting some form of lobing/nulling.

If it *could*, it would be trivial to demonstrate that the antenna
was delivering more power (more energy over time) into its loads,
than it was accepting from its transmitter.

The same line of logic applies even if you start with a dipole. If
you begin with a dipole, and then magically "deflect" all of the power
from the rear towards the front and overlay the patterns exactly,
you'll exactly double the power in each forward-lying half of the
sphere, and create a gain of 3 dB over the dipole. In order to have
*more* forward gain in any direction in the forward direction, you
must necessarily have *less* in another, and this either narrows the
pattern in the forward direction or creates partial or complete nulls.

To claim otherwise, is to claim an antenna which can be shown to
deliver more power than it accepts as input... in other words, one
which violates the conservation of energy.

The same basic rule applies for any situation in which you take a
bidirectional antenna (one which has a symmetrical forward-and-
backward gain pattern) and then "deflect" all of the rearward energy
into a forward direction. This will gain you at most 3 dB over the
basic gain pattern of the antenna you started with. Any further
maximum forward gain, over the antenna you were starting with, can
*only* be achieved by decreasing the gain somewhere in the pattern
(narrowing or weakening the main lobe or one of the sidelobes).

A Moxon antenna is, to a first approximation, a pretty good example of
this approach - it has very little energy in the rear hemisphere, and
a broad forward lobe. There are various two-driven-element array
designs which achieve a similar pattern and result.


And the resulting "gain" is ....what?


According to Cebik's web site, a 2-meter Moxon shows a maximum forward
gain of about 10.7 dBi, or a bit more than 8 dB over a dipole. One
could gain at most 3 dB due to the forward "deflection" of rear-
hemisphere energy, and hence the remaining 5 dB or so of gain over a
dipole must come from a narrowing of the antenna's pattern in either
azimuth or elevation or both.

Yes I agree because of conservation laws e.t.c . When cancellation occurs
then energy creats energy in another direction similar to pulling steel
apart in tension
(or using compression) the steel becomes narrower before severing occurrs.
This thinning or "waisting" is created by the additional forces created at
90 degrees
to the tensile forces and where the break actually occurrs at 45 degrees
and not at right angles.


Art, I think your analogies between radiation patterns, balloons,
stretching metal, etc. are leading you astray more than they are
helping you.

Conservation of energy *requires* that the main lobe be narrowed, if
you wish to achieve more gain than you can get by simply redistibuting
the rear-ward energy in the forward direction.


This is what you alluded to before and it is still incorrect
What "requires" what ? And how is this conclusion generating
an elongated lobe?


A super-high-gain antenna *cannot* have a wide, uniform beam-width in
both azimuth and elevation.


Don't know how you can say that


I say that because the opposite case would contradict the law of
conservation of energy.

If you have an antenna which puts all of its power, uniformly, into a
forward beam which covers only 1/10 of the sphere, then that forward
beam will carry 10 times as much power per angle, for a gain of 10
dBi.

If you squeeze the beam down in size so that it covers only 1/100 of
the sphere, it will carry 100 times as much power per angle, for a
gain of 20 dB.

You can't have a broad forward lobe (say, one which covers a full 1/10
of the sphere), and achieve a high gain of 20 dB (100 times as much
power per angle) without violating the law of conservation of energy.

*THAT* is the fundamental limit I'm talking about, Art.


As usual for your postings, Art, it's impossible to tell whether your
claims for your antenna are plausible, because you refuse to disclose
*anything* (either the invention, or the results you claim) in any
halfway-tanglible form (e.g. models, specific numbers, etc.).



My antenna is somewhat related


You DID IT AGAIN, Art. You said "is somewhat related", you didn't say
related to *what*, you didn't give any details whatsoever.

The question however, is specifically related to Yagi's
and its narrowed lobes.
Do you know what it is that creats an elongated lobe
on a high gain yagi i.e not totally round.?
Nothing more, nothing less.


You're acting as though the lobe were a physical object, and that
something is "putting pressure" on it to squeeze it out of shape like
a physical balloon.

That is a FALSE ANALOGY, Art. It's meaningless.

The "shape" of the lobe is simply a way of plotting numbers on a
graph. It depends on the scaling of the graph, and it's a *relative*
scale. A dipole's lobes may look perfectly round on one sort of
graph, elliptical on another, and lumpy on a third, depending on
whether the plot's axes are logarithmic, linear, or somewhere in
between the two.

Fundamentally, the reason that the shape of the lobe (on a
conventional plot) changes from somewhat-circular to more-eliptical is
due to the fact that the antenna is sending more of its power in a
favored direction (to achieve gain), at the expense of sending less in
other directions. Period.

The *mechanism* by which this is done, in a Yagi (or an actively-
driven set of phased radiators), is simply one of dividing up the
power being radiated so that it's radiated (or re-radiated) from
multiple points, in different spatial and phase relationships, so that
the resulting waves cancel out in certain directions and reinforce in
others.

If you really want to know the details, I suggest that you dig up and
read the original papers by Uda and Yagi.
Until you do, I really think it would be to everyone's relief if you'd
follow through with your recent statement that you were going to stop
posting. You're achieving no good result for yourself by contining as
you are.


I have not posted as you have inferred. The question is about Yagi design


It all seems to come down to the same thing with you, Art.

I suppose I should just killfile you and completely ignore your
postings. I'm sorry, I've tried my best to steer you in directions
that I think will actually help your efforts, but it seems quite futile.


--
Dave Platt AE6EO
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http://www.radagast.org/jade-warrior
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