<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
</head>
<body>
<p>Gang-<br>
</p>
<p>I'm going to try to revive interest in a broadened, but still <i>~purely
</i><i>geometrical explanation</i>. In particular, I wonder if
we appreciate the true incongruities in the realized optical
geometry as well as we think we do, at least as regards the net
effective rotation of the feeds on the sky near the zenith.
Apparently not quite, and more than just simple Az axis tilts
could be relevant (yet still without going behind the feed to
wires and software). I.e., where is the <i>primary</i> boresight
actually pointing?<br>
</p>
<p><b>Regarding Az tilts (for starters): </b>The properties of the
symmetries Rick has shown are entirely consistent with
(differential) tilts in the AZ axes by a few arcmin. E-W tilts
cause the even symmetry (time offsets in geometry calculation can
do this to...). N-S tilts will cause the odd symmetry. It was
casually asserted early in the conversation that the peculiar
tilts (due to sag of pads, etc.) aren't big enough for this. Is
there a real quantitative basis for this claim? <br>
</p>
<p>The basic geometrical interpretation is really a matter of
answering the following question: "How is the antenna rotating
around the direction to the source in general, and especially
nearer the zenith?" Do we really think we know this near the
zenith at levels comparable to the scale of tilts required for the
observed effect? Rick correctly stated "parallactic angle is not
a function of polarization", but misapprehension of the realized
parallactic angle evolution (in geometric models used to
correlate/calibrate) will have opposite phase effect on the R and
L polarizations. I.e., any effective rotation of the feed on top
of the assumed geometric model of the system will advance the R
phase and retard L's, or vice-versa. This is what Rick's plots
show, differentially with the refant. So, does the correlator
phase model include terms for the peculiar tilts in each
antenna? If not, then the peculiar tilts <i>must be </i>introducing
these effect at some level, i.e., at least some of the observed
effect is due to the Az axis tilts.<br>
</p>
<p><b>But, if you need more effect than mere Az tilts can supply, my
main <i>new </i>point is <i>primary boresight pointing
accuracy</i>:</b> Beyond the simple peculiar tilts, we are
actually also assuming that the antennas point precisely on their
<i>primaries' </i>optical boresights toward the source. Is this
true? The (joint?) optimization of pointing, focus and
collimation is presumably respectably optimizing <i>net forward
sensitivity</i> (and somehow averaged between R and L to fall
between between the squinted beams, which we presume <i>is</i>
the primary Stokes I boresight). This broad optimization should
tend toward, but by no means necessarily guarantee, that the
pointing <i>of the primary </i>(which is what is driven by the
motors) is precisely toward the source. Indeed, is there any way
to objectively guarantee (i.e., constrain) the primary boresight
in the optimizations we perform for the optics? In particular, I
wonder if the collimation optimization does, in fact, push us
distinctly (but subtly..., and enough?) <i>away</i> from the
primary's boresight? I.e., to what extent do we optimize
collimation by moving/pointing the feed horns themselves (at the
few arcmin level), cf just adjusting the _net_ pointing of the
mechanical optics (forward of the feed) to ~compensate and
balance? A few arcmin offset only negligibly affects the
primary's forward gain, so no leverage there... And it is
interesting to note that a lot is bootstrapped between and among
bands in achieving the general combined optimization of all feeds
across the sky (i.e., everything pegged to whatever uncompensated
mechanical offsets exist in the X-band feed?). Not to mention the
likely relevance of sub-reflector rotation tricks (at higher-freq
bands) to the net geometry of the optics, which speaks to the
level at which we need to account for loss of the rigidity
implicit in the simple geometric description..... In short,
optimization of the whole signal path is almost certainly not
optimization of each optical path component in isolation, and in
particular, <b><i>the drive motors are probably effectively
moving the primary for a point on the sky that is _not_
precisely the target source coordinates, such that the net
rotation around the direction to the target isn't quite the
right one</i></b><b>.</b> And this will be most noticeable
nearer the zenith, of course, in the relative R-L phase<i>,</i> in
a manner very like the simple Az tilts. The main drawback to this
explanation is that we might have expected more band-dependence of
the effect, unless we are dominated mainly by the bootstrapping
from one band, or something else systematic (per antenna, not
band) about the effective boresight directions of (aging) VLA
antennas.....<br>
</p>
<p>(I pose the above based on some ongoing off-and-on (mostly off,
lately) experience studying similar questions for ALMA, where, in
fact, they have <i>deliberately</i> chosen to translate (rather
than tilt, as designed) the subreflector to reach off-axis feeds
(on 2 feed circles). This means they are deliberately <i>moving
off the primary boresight</i>. And since we don't really know
the subreflector zero points in tip/tilt and translation, I don't
think we really know how far off the boresight ALMA antennas
actually are... So, they've unintentionally compromised the feed
orientation calculation in calibration for a (measured, memo'd)
very small net loss in forward sensitivity.)</p>
<p><b>Regarding OTF pointing updates:</b> Also, I think we expect
blind pointing to be poor near the zenith, by which I mean we
don't expect our ordinary optimizations to be very good.... I
wonder if the amplitudes (in particular, the <i>relative</i> R/L
amp) might give a clue about how far from the nominal pointing we
have wandered (on top of the offsets introduced ~deliberately
through nominal optimizations described above). Also, manually
tweaking up the pointing on top of the model at, say, HA ~ -1h
might actually be an effectively arbitrary "correction" to a point
decidedly off-source for the primary boresight nearer the
zenith....</p>
<p><b>Regarding measuring cross-hand phase directly: </b>Examining
truly measured cross-hand phases will definitely be interesting.
Note that this will be a measurement relative to the (simple)
parallactic angle calculation used to make the sky nominally
stationary in rotation. This calculation does not include all of
the inhomogeneities described above (true axes tilts, effective
optical path offsets), and is also subject to the coordinate
system chosen for the parang calculation. I think both AIPS* and
CASA have traditionally used the geocentric latitude (not
geodetic) for the parang calculation, which effectively behaves
like a ~10.7 arcmin tilt to the North. This creates a several
degree position angle error near the zenith (twice this in R-L
phase) of the odd symmetry, and is conveniently nulled by the
difference measurements Rick has shown so far (owing to the fact
that VLA antennas are nominally mounted on the earth in
parallel). Indeed, it is the scale of this alone that keeps me
scratching my head about just the ordinary tilts of a few arcmin
being enough to cause at least some of the effect Rick observes.
So, don't be surprised if the actual cross-hand phase
(effectively, of the refant) looks worse!</p>
<p>(*I'd welcome Eric's correction on this point, if I'm wrong about
this.)</p>
<p><b>Regarding 'over-the-top': </b>I think over-the-top might
~decouple Az tilts from internal (feed-forward) optics, since the
net primary boresight pointing error is probably different for
over-the-top, but I haven't thought very carefully about this....
Hmmm, I think net feed rotation is in the opposite direction for
over-the-top, so I don't think you get the same thing for the Az
tilt effect--won't it reverse the sign of your differential
phases? If only a sign reversal, then that test tends to point
to Az tilt as the culprit. But there are probably also different
boresight pointing effects, so you'll sorta measure the relative
scale of those... And bending wires can also still
contribute....<br>
</p>
<p>Cheers,</p>
<p>George</p>
<p><br>
</p>
<p><br>
</p>
<div class="moz-cite-prefix">On 3/27/22 21:25, Rick Perley via
evlatests wrote:<br>
</div>
<blockquote type="cite"
cite="mid:4711EC33-81F8-445E-9000-8E3DDDA0299F@nrao.edu">
<pre class="moz-quote-pre" wrap="">Well — I certainly didn’t think I’d get so many suggestions! A healthy sign.
Regarding AC/BD: Sadly, the data taken used only the AC side.
The thinking seems to point to the antenna, rather than some geometrical origin. To separate these effects, perhaps tracking 3C286 through transit in two different ways may help — (a) in the normal mode, and (b) using ‘over the top’. If the effect is due to geometry (related to parallactic angle), these two should give the same results. If due to the antenna, the different elevations (86 and 94 degrees at transit) should clearly show up as giving different magnitudes.
I agree that software is unlikely — but to be sure, I can generate these plots with no calibration at all (since these are differential plots, the atmosphere and most electronics effects should cancel out).
I’ll plot these phase differences against elevation — if a true elevation effect, all traces should lie on the same curve. (I should have done that on Friday!).
Regarding the choice of reference antenna — ea10 looks ‘reasonable’. I will use a different antenna as reference (clearly, one of the ‘odd’ ones) — but the results are easy to anticipate — the current plots will have the new reference antennas’s curve added. So I can hope that all (or most) of the ‘odd’ profiles will head to ‘zero’ (no elevation/HA effect), while the ‘even’ profiles will change in a way that I hesitate to predict … (depends on the magnitude of the ‘odd’ profile being added to the large ‘even’ profile).
I probably won’t be able to do these checks until Monday afternoon.
Rick
Sent from my iPad
</pre>
<blockquote type="cite">
<pre class="moz-quote-pre" wrap="">On Mar 25, 2022, at 10:23 PM, Craig Walker <a class="moz-txt-link-rfc2396E" href="mailto:cwalker@nrao.edu"><cwalker@nrao.edu></a> wrote:
This is an interesting puzzle. Here are a few thoughts on the problem:
The higher dec sources have a very high rate of change of Azimuth and PA at transit. The sharp peak in the R-L phase effect makes me think it is related. The effect at the antennas with the single peak is much larger than the effect with the two peaks (one negative). If all antennas, including the reference, have a peak at transit but of random sign and with slight and maybe random offsets from actual transit, you might get what is seen. When an antenna's peak is of opposite sign from that of the reference antenna, the effects add and you get a single large peak. When they are of the same sign, so they try to cancel in the difference, the slight offsets from actual transit give the two peak character.
The fact that the effect is scattered randomly over the array (really true?) suggests that it is some hardware effect not related to observing geometry. Also it may be important to remember that the pads are tilted so that Az, El, and PA are the same at all antennas despite the Earth curvature over the array.
My first thought was that this all points to the azimuth cable wrap. But the fact that the values far from transit are the same on both sides doesn't match this too well.
With the VLBA, we get an amplitude effect that looks a bit like this at the point when the source is off the end of a baseline and the fringe rate goes through zero. Then any clipper offsets, pulse cal tones or other signals that are the same at the sites correlate. Could there be something in the VLA system of the sort that acts at transit? That is definitely grasping at straws.
Definitely a puzzle.
Cheers,
Craig
</pre>
<blockquote type="cite">
<pre class="moz-quote-pre" wrap="">On 3/25/22 11:53 AM, Rick Perley via evlatests wrote:
This is a long circular -- apologies to all, but the subject is a bit complex ...
Many will remember a meeting called by Frank a few years ago where the subject was the very peculiar phase differences seen between the RCP and LCP phases when observing a source passing by the zenith. The general conclusion was that 'we have no idea of what is going on'.
In preparation for an upcoming trip, I am reviewing my extensive observations, taken over the past decade or more, from projects with the goal of measuring, and implementing the 'absolute' D-terms. (In other words, dispensing with the usual method of measuring the antenna polarizations with respect to an assumed standard (usually zero)).
One observation, taken in January 2019, is especially well suited to this task. I observed four sources, through transit, for five hours, at three bands -- L, S, and C.
The four sources were:
3C286 dec = 30.5
OQ208 dec = 28.5
3C287 dec = 25.2
3C273 dec = 2.0
Note that OQ208 is completely unpolarized, while the others have varying degrees of polarization. All sources transit south of the zenith.
The data are of exceptionally good quality. The array was in the C configuration.
The attached plots show the R-L phases, using ea10 as the reference antenna. Note that these are *not* the RL or LR correlation phases -- they are the differences between the antenna phase solutions using the RR and LL data, using ea10 as the reference. This means the R-L dependence of ea10 is impressed on all the other antennas. We are looking at differentials.
The plots show two antennas -- ea01 and ea12, which represent the two different symmetries seen in the data. The x-axis is HA -- plots against time and parallactic angle jumble the results -- the dependencies seen are purely a function of HA.
Colors: 3C286 is red, Light green is OQ208, blue is 3C287, dark green is 3C273.
ea01 is of the even symmetry type. Antennas 1 3 5 6 8 15 and 22 have this symmetry.
ea12 is of the odd symmetry type. All other antennas show this, with the same sign -- positive difference before transit, negative difference after, with the possible exception of ea18. (For this antenna, the amplitude of the effect is very small, so the signature is hard to discern). Three antennas were out of the array at the time: 7, 24 and 28.
Key points:
1) The phase signatures are *identical* for each band. Same width, same height, same values, same symmetry.
2) The magnitude of the effect is sharply dependent on how close the zenith the source transits. For 3C273, the effect is almost completely absent.
3) The effect is independent of source polarization. OQ 208 has less than 0.1% polarization, and shows the same symmetry signature as the strongly polarized sources 3C286 and 3C287.
4) The location of the antennas is not related to the signature -- the 'even' antennas were located all over the array: W6, W18, E14, N6, N1, E12, and W12.
One conclusion is clear: The effect has nothing to do with the beam squint. And it is very hard to see how differences in the antenna pole direction can do this -- the required tilt magnitudes are just unreasonable. And in any event, the parallactic angle is not a function of polarization -- it's an antenna quantity.
I have shown these data to two of our serious pundits (Barry and Steve), hoping for some insight. None was forthcoming. We are completely stumped. It seems clear that the signatures are geometric in origin -- but how does this translate into such a clear signature in the phase *difference* between polarizations?
Any and all suggestions will be taken seriously!
Rick
_______________________________________________
evlatests mailing list
<a class="moz-txt-link-abbreviated" href="mailto:evlatests@listmgr.nrao.edu">evlatests@listmgr.nrao.edu</a>
<a class="moz-txt-link-freetext" href="https://listmgr.nrao.edu/mailman/listinfo/evlatests">https://listmgr.nrao.edu/mailman/listinfo/evlatests</a>
</pre>
</blockquote>
<pre class="moz-quote-pre" wrap="">
--
------------------------------------------------------------------
R. Craig Walker Scientist Emeritus
1305 Vista Dr. Array Operations Center
Socorro NM 87801 USA National Radio Astronomy Observatory
<a class="moz-txt-link-abbreviated" href="mailto:cwalker@nrao.edu">cwalker@nrao.edu</a> P.O. Box O
Phone 575 835 3972 Socorro, NM 87801 USA
575 835 7247
------------------------------------------------------------------
</pre>
</blockquote>
<pre class="moz-quote-pre" wrap="">
_______________________________________________
evlatests mailing list
<a class="moz-txt-link-abbreviated" href="mailto:evlatests@listmgr.nrao.edu">evlatests@listmgr.nrao.edu</a>
<a class="moz-txt-link-freetext" href="https://listmgr.nrao.edu/mailman/listinfo/evlatests">https://listmgr.nrao.edu/mailman/listinfo/evlatests</a>
</pre>
</blockquote>
</body>
</html>