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4.5.3 Coherence time

The coherence time of an interferometer is the interval during which the fringe phase remains stable, changing by $\le1$ radian. The coherence time is determined by the stability of the atmosphere along the line of sight to the source. At lower frequencies (at or below 5 GHz) the ionospheric contribution is dominant. At higher frequencies, the tropospheric influence is more important. The coherence time found at each frequency may vary rapidly by over an order of magnitude and is determined by a number of factors. Close to sunspot maximum the ionosphere is far more likely to exhibit periods of intense activity. In addition, the ionosphere is likely to be more active during the day than at night; and more active during the Winter than during the Summer. The troposphere, by comparison, is more active during the Summer rather than the Winter and is strongly influenced by the detailed weather (especially the water vapour content of the atmosphere).

The coherence time determines the time interval over which data can be averaged for calibration, the cycle time between observations of phase-cal and target and the accuracy of transfer of phase solutions. Experiments where the target is too weak to self-calibrate, or those requiring full polarization or narrow-band spectral line observations using a phase-cal observed in a wide bandwidth, are particularly vulnerable. Under difficult conditions shorter integration times and shorter cycle times between target and phase-cal can be used. However the former can restrict the spectral resolution and the latter leads to loss of data during slewing, so such measures are not undertaken unless essential. The default on-line integration times used for sources of modest angular extent will be set so that coherence time problems are avoided. There are times when the phases on the longest MERLIN spacings could almost be drawn by ruler over many hours; there are also times when decorrelation occurs within the on-line integration time. We attempt to minimise the effects of the latter by selecting suitable weather for 22-GHz observations (ideally dry winter and spring nights) and avoiding low frequency observations close to solar maximum.

Since coherence times are so variable, it is difficult to set simple guidelines, so we present values based on the upper and lower quartiles of the distribution. Thus good values represent what the user should reasonably expect to get for observations under favourable circumstances; and poor values those expected under adverse conditions. Table 4.5 gives typical coherence times on the longest MERLIN baselines for sources at elevations above $15\dg$. Coherence times at low elevation - and so for sources at low $\delta$ - will be shorter. The values given for 151 MHz relate to observations made near solar minimum.


Table 4.5: Coherence times on the longest baseline of MERLIN
Frequency Good Bad
151 MHz 3 min. 15 s
408 MHz 10 min 45 s
1.4/1.7 GHz 40 min. 1 min.
5 GHz 40 min 5 min
22 GHz 10 min 30 s


next up previous contents
Next: 4.5.4 Aberrations Up: 4.5 Observing with MERLIN Previous: 4.5.2 Sensitivity, deep fields
Anita Richards
2003-09-11