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Calibration, Beamwidths and Efficiencies

Calibration, Beamwidths and Efficiencies



Calibration

RxB3 is calibrated in the normal way for JCMT heterodyne receivers, with chopper wheels providing a three-load calibration using the sky, ambient and cold loads. The normal calibration preocedure is the "backend cal" which does a channel-by-channel calibration in the DAS.

The result of such a calibration, as plotted in a SPECX scan, is an antenna temperature scale commonly denoted by T(A)*. Line strengths in this scale have been corrected for atmospheric transmission and losses associated with telescope inefficiences and rearward scatter. Conversion to a source radiation temperature requires further corrections for the forward spillover and scattering efficiency eta(fss) (see below) and geometric coupling of the main beam on to the source.

For the most reliable and repeatable calibrations it is better to tune in SSB mode. In DSB mode the calibration algorithm assumes equal gain in both the image and signal sidebands, which may not be true for either or both mixers.

Comparison with RxB3i, Standards, and Relative Performance of Mixers A&B

There is not yet a complete set of standard lines available for RxB3. This is partly because the increased "parameter space" associated with a dual channel receiver operating in either SSB or DSB has made the collection of data time-consuming.

Users interested in comparisons of RxB3 and RxB3i line strengths should be aware of the 'standard' utility. Typing 'standard' at any JCMT UNIX machine will invoke a menu-driven utility that prints and (optionally) plots all the available measurements of a selected standard line source observed with B3i and B3. These data are also accessible through the JCMT Home Page on the Web.

During the first several months (i.e. Dec-June '97) of operation, Mixer A systematically produced line strengths (i.e. T(A)* values) that were 10-15% on average higher than produced by Mixer B. When averaged together in SSB operation, the lines were about 15% stronger than comparable RxB3i measurements. This difference from RxB3i is at least partly attributable to higher main beam efficiencies in RxB3.

During this period there was also an indication that both mixers produced stronger lines in DSB mode than in SSB, although this comparison may be distorted by the statistics of a small number of measurements. There does seem to be repeatable evidence that, for the CO/HCN line pair observed in DSB, the sideband gain ratio is not equal to 1 for the two sidebands. Experience with our other intrinsically DSB receivers clearly has shown that the sideband gain ratio changes from tuning to tuning. It's not yet clear how repeatable the gain ratios are for RxB3 or how they change with frequency. Most observers are choosing to observe with the receiver in SSB mode because of more accurate calibrations and better Tsys values.

In June '97 it was discovered that the Observatory's IF switch that downconverts RxB3's 4 GHz IF to the 1.5 GHz required by the DAS was probably operating in a partially saturated mode during the first 6 months of RxB3's time on the telescope. We also made some refinements at that time to the effective RxB3 load values used in the calibration software. Since these changes line strengths measured with the two mixers are now similar and the SSB and DSB measurements yield strengths that are closer together.

Beamwidths, Pointing and Focus

The differential pointing offsets between the beams of the two mixers has been repeatedly measured to be less than 2 arc seconds. No significant differences have been found between the foci of the two beams.

Efficiencies and beam widths

These values are at 345 GHz.

        Efficiency      Chan. A       Chan. B    
         eta(beam)      0.62±0.03   0.62±0.03
         eta(tel)       0.88±0.03   0.88±0.03
         eta(fss)*      0.82±0.04   0.78±0.04
         eta(apert)
          HPBW          13.7±0.4"   14.0±0.4"

* Assuming Tr(full moon) = 352K.

The most recent beam maps are consistent with round beams. Beamwidth measurements (courtesy G. Sandell) show no significant differences between beam sizes or shapes in DSB and SSB modes. Calculated FWHM beamwidths assuming diffraction-limited theory, based on beam maps taje June 1998 are as follows

	Mixer	Frequency(GHz)	Deconvolved HPBW"

	 B	   330          14.6±0.04
	 B	   345          14.0±0.04
	 B	   362.8	13.3±0.04

	 A	   330          14.3±0.03 
	 A	   345		13.7±0.03
	 A	   362.8	13.0±0.03

Beam maps taken on Mars at an LO frequency of 341 GHz are shown in Fig 2a and Fig 2b . Mars had a diameter at the time of 8 arcsec. Contour levels in these maps are 2%, 4%, 8%, 12%.... of the peak, and the shaded area represents a 14 arcsec diameter disc.

Original Text by Lorne Avery, 1 July 1998

Contact: Ming Zhu. Updated: Thu Dec 30 14:37:50 HST 2004

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