[evlatests] R-L Phase Differences -- a 'simple' explanation
Barry Clark
bclark at nrao.edu
Mon Apr 4 23:36:20 EDT 2022
EW
ea09 N16 0.21 -0.58 -0.37 123 -.030
NS
ea09 N16 -0.65 -1.20 -1.85 1182 -1.08
On 4/4/2022 2:57 PM, Rick Perley via evlatests wrote:
> What are the values for ea09 (at N16), which was the reference antenna
> I used?
>
> On 4/4/22 14:20, Barry Clark via evlatests wrote:
>> Just for specificity, I'll quote the tilts actually in use. For VLA,
>> we have separate tilts for the antenna and the pad, so that in theory
>> the antenna can be moved from pad to pad without changing the
>> pointing parameters. What is used is the sum. What we are
>> interested in is the tilt relative to the vertical at the array center.
>>
>> Ant. Pad AntEW tilt PadEW tilt SumEW tilt X CenterEW tilt
>>
>> ea01 W06 0.51 0.68 1.19 -261 1.33
>> ea03 W18 0.24 -1.95 -1.71 -1722 -2.85
>> ea05 E14 0.52 -5.37 -4.85 1001 -4.31
>> ea06 N06 0.52 -1.20 -0.68 22 -0.67
>> ea22 W12 1.10 0.10 1.20 -859 0.74
>>
>> Ant AntNS tilt PadNS tilt SumNS tilt Z CenterNS tilt
>> ea01 -0.44 1.74 2.18 -136 2.09
>> ea03 0.02 3.39 3.41 -900 2.82
>> ea05 -0.19 0.67 0.48 -442 0.20
>> ea06 0.43 -2.19 -1.76 220 -1.62
>> ea22 -0.44 0.60 0.16 -448 -0.13
>>
>>
>> On 4/1/22 10:41, rperley via evlatests wrote:
>>> There is a simple explanation for the R-L phase differentials -- a
>>> differential tilt between the two antennas. If the two antennas'
>>> poles point in slightly different directions, the parallactic angles
>>> seen by each are different, which results in a different measured
>>> phase for the two polarizations.
>>>
>>> For the 'RR' correlation, the phase difference is -(delta par
>>> angle), for the 'LL' correlation, it is +(delta par angle), so the
>>> R-L difference is twice the difference is parallactic angle between
>>> the two antennas.
>>>
>>> This effect is independent of band -- it is purely geometrical.
>>>
>>> To show how these differentials vary with source declination, I
>>> generated plots for the four sources observed: 3C286 (dec = 30.5),
>>> OQ208 (dec = 28.5), 3C287 (dec = 25.2), and 3C273 (dec = 2.1). I
>>> generated curves for a E-W tilt, and a N-S tilt.
>>>
>>> Attached is the resulting plot, showing the predicted R-L phase in
>>> degrees as a function of Hour Angle, for the four sources. Solid
>>> lines are for an E-W tilt, Dashed lines for N-S tilt.
>>>
>>> The match to the observed data is extremely good. (To be fair, the
>>> match to the largest of the 'even' tilts is extremely good). But I
>>> bet that a suitable combination of E-W and N-S tilts would give a
>>> good fit to almost all of the data.
>>>
>>> There is only one problem -- the amplitude of the tilt required to
>>> give the size of the observed phase is about 5 times larger than the
>>> largest measured tilt. The plots were generated with a tilt
>>> differential (between the two antennas) of 6 arcminutes.
>>>
>>> So, if this model has any relevance, it begs the question: How do we
>>> measure the antenna tilts? Are these tilts different than those
>>> used in the model?
>>>
>>> Rick
>>>
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>>
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