Receiver A3 - sideband differences
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Receiver A3 - sideband differences
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Background
In a heterodyne receiver incoming signals from the sky are combined
("mixed") with a pure local oscillator (LO) signal, the frequency of
which is adjusted for the relative motion of the astronomical target
and the receiver. The mixer output consists of two sideband responses
separated from the LO by plus and minus the intermediate frequency -
presently 4 GHz, and each (in A3) about 2 GHz wide. Thus the "signal"
sideband is centered at the rest frequency, and the "image" sideband
is 8 GHz either below or above the signal sideband, depending on which
sideband (upper or lower respectively) is chosen as the the one
containing the signal. For example: observations of CO 2-1 at 230.538
GHz which place the line in the upper sideband will be accompanied by
signals received in the lower sideband, centered on 222.538 GHz.
Receivers B3 and W have an on-board interferometer allowing the image
sideband to be rejected in "single-sideband" (SSB) mode or retained in
"double-sideband" (DSB) operation. Note that the rejection is not
perfect; in B3 it is at best about 13dB, and in W it has not been well
determined. SSB operation results in better calibration in general.
Receiver A3, however, does not have sideband rejection and thus is a
DSB instrument by default. This has some special observational
consequences, not only because the signals from both sidebands are
observed simultaneously, but particularly for line calibration. The
latter point is addressed here.
Consequences of DSB operation
A perfect receiver would offer equal gain to lines observed in both
sidebands; i.e. the sideband ratio would be 1.0. It is not easy to
measure the sideband ratio, however. If lines of equal intensity were
available approximately every 8 GHz apart across the RF spectrum, say,
via an RF signal generator, then these lines received in both the USB
and LSB would be of equal strength if the receiver gains were equal
for both sidebands, and the sideband ratio would be unity. However, we
do not have access to such a signal generator (although, see below),
and in its absence the software assumes the sideband ratio to be
unity. Note that measuring a given line alternately in the USB and LSB
does not yield the sideband ratio.
Thus for any receiver operating in double-sideband mode, the strength
of a given line observed in, say, the upper sideband (USB) is not
likely to be exactly the same when observed in the lower sideband
(LSB), and may be quite different. Observers should be aware of this
effect and be sure to observe a source for which the same line has
been observed as a "standard" wherever possible for comparison
purposes. For A3 the presence of the pronounced "hump" in the receiver
temperature between about 245 and 255 GHz already indicates that one
needs to be especially careful in this region, and, because of the DSB
performance of A3, be aware that having either sideband within the
region is going to change the apparent line strength. Examples to
illustrate this effectcan be had by looking at spectra of, say,
NGC2071IR, in CO
2-1, CS
5-4, and HCN
3-2. In each case two spectra which place the line in the USB and
LSB are shown superposed in green and red respectively. The CO
spectrum is closely similar whether observed in LSB or USB, but CS
should be observed in the USB, and HCN in the LSB, to avoid the
calibration difficulties associated with the "hump" and the assumption
of equal sideband gain. Further examples can be found in the "representative
spectra" for A3. Similar databases exist for B3 and W.
Results using known lines
It is possible that the sideband ratio can be investigated using lines
of relatively complex linear molecules arising in astrophysical
targets.
One such is cyanoacetylene
(HC3N); this molecule has rotational transitions
approximately 9.1GHz apart which are bright enough to be easily
studied in certain evolved stellar envelopes. The spacing allows
adjacent transitions to be observed in the upper and lower sidebands
simultaneously using wideband (1.8-GHz) mode, and with a simple model
of the excitation conditions may allow the determination of the
sideband ratio at frequencies through the observing window. Examples
of two pairs of lines are shown; at 228
GHz and 255
GHz.
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In this figure the integrated intensities of neighboring
HC3N lines observed in CRL2688 are plotted as a
function of the LO frequency. USB and LSB line intensities are
shown in green and red respectively and compared with a scaled
version of recent Trec values. The line intensities show a wild
fluctuation across the A3 window, but it appears that virtually
all this variation is due to the sideband ratio being non-unity.
Data in the JCMT archive show that HC3N integrated
intensities from CRL2688 remain similar into the 345-GHz window,
and thus, dramatic changes in intrinsic line strengths across the
A-band window are unlikely. Based on the sparse observations of
isotopomers of HC3N it also appears that the transition
is somewhat optically deep, limiting the variation of line
brightness between transitions. Taking the average of pairs of
neighboring transitions from the USB and LSB show that this is
indeed the case (as indicated by the purple means symbols in the
figure), and show that the sideband ratio in the region of the
"hump" exhibits particularly strong variations.
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The sideband question was also studied quite extensively during commissioning
in December 1998, partly as an outcome of observations of SO and
SO2 at the time, and these early results are
reported here.
In this case there are more transitions within the band, but the line
intensities require a more complicated excitation calculation.
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