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IRAC Instrument Handbook - IRSA - California Institute of Technology

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Point Source Fitting <strong>IRAC</strong> Images<br />

with a PRF<br />

162<br />

<strong>IRAC</strong> <strong>Instrument</strong> <strong>Handbook</strong><br />

Figure C.4: APEX PRF-fitted photometry with a PRF Map vs. aperture photometry in the Se rpe ns<br />

test field. PRF and aperture fluxes have been corrected as described in the text.<br />

C.3.4 The GLIMPSE Test Field<br />

We also analyzed the GLIMPSE AORKEY 9225728 in a similar manner. This produced similarly good<br />

agreement between the aperture and fitted fluxes. In addition, we stacked the residuals <strong>of</strong> the brighter<br />

sources in an attempt to determine the size <strong>of</strong> any systematics, and plotted out the ratio <strong>of</strong> the residuals to<br />

the uncertainties for the inner four pixels closest to the source position. No significant residual could be<br />

found in a stack <strong>of</strong> 111 sources with channel 1 fluxes between 50 and 100 mJy, corresponding to a limit<br />

<strong>of</strong> ~0.1% on the size <strong>of</strong> any systematic residual. Similarly, no significant difference could be found for the<br />

distribution <strong>of</strong> the ratio <strong>of</strong> residual to uncertainty between the pixels near to the peak star position and<br />

pixels in the remainder <strong>of</strong> the image.<br />

C.3.5 Photometry <strong>of</strong> Moderately-Resolved Sources<br />

Point source fitting is most appropriate for true point sources. The flux <strong>of</strong> astronomical objects that are<br />

extended will be underestimated by such a procedure. Nearly all fields observed by <strong>IRAC</strong> have a<br />

substantial population <strong>of</strong> faint (10s <strong>of</strong> micro-Jy) background sources, which are in fact galaxies, and in a<br />

typical 100-second exposure these can approach 100 galaxies per <strong>IRAC</strong> frame at 3.6 microns. Although a<br />

casual visual inspection <strong>of</strong> the <strong>IRAC</strong> data would seem to indicate that the majority <strong>of</strong> these sources are<br />

compact and point-like, in fact treating them as such will lead to substantial errors in photometry, as these<br />

objects are typically resolved on a scale <strong>of</strong> ~1 arcsecond (e.g., Lacy et al. 2005, [17]).<br />

This issue has been studied in substantial detail in the <strong>IRAC</strong> Dark Field, which is the dark current<br />

calibration field for <strong>IRAC</strong>. This is an extremely deep <strong>IRAC</strong> pointing <strong>of</strong> approximately 200 square<br />

arcminutes near the north ecliptic pole, and which reaches the confusion limit in all <strong>IRAC</strong> bands. More<br />

importantly, there is also deep high spatial resolution HST optical imaging over the same field, which can<br />

provide prior information on true source sizes and shapes.<br />

Point source fitting was used to extract photometry for the <strong>IRAC</strong> Dark Field. An examination <strong>of</strong> the<br />

point-source subtracted residual images shows clearly that the residuals mimic the HST source<br />

morphology, conclusively demonstrating that <strong>IRAC</strong> does in fact resolve the majority <strong>of</strong> the faint galaxies.<br />

This result is strongest at the shorter <strong>IRAC</strong> wavelengths, where the spatial resolution is higher and the<br />

galaxies may be slightly more extended. This result was hardly unexpected - calculations <strong>of</strong> expected<br />

galaxy angular sizes assuming a modern cosmology indicated that most galaxies would be marginally<br />

resolved by <strong>IRAC</strong> almost regardless <strong>of</strong> distance, modulo changes in galaxy morphology with redshift and<br />

the ability to detect faint extended emission.<br />

Curves <strong>of</strong> growth were generated for the galaxies, and when used in conjunction with the optical priors,<br />

the amount <strong>of</strong> error associated with point source fitting was quantified. Sources below a few micro-Jy<br />

start to be affected by confusion issues, so we describe here results for galaxies brighter that this. At 3.6<br />

microns, roughly 50% <strong>of</strong> all galaxies are demonstrably resolved by <strong>IRAC</strong>. In 20% <strong>of</strong> the objects, the use<br />

<strong>of</strong> point source fitting will underestimate the true flux by a factor <strong>of</strong> two or more.

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