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IRAC Instrument Handbook - IRSA - California Institute of Technology

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4.11 Extended Source Photometry<br />

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

The photometric calibration <strong>of</strong> <strong>IRAC</strong> is tied to point sources (calibration stars) measured within a<br />

standard aperture with a radius <strong>of</strong> 12 arcseconds. This point-source calibration is applied to all <strong>IRAC</strong> data<br />

products during pipeline processing to put them into units <strong>of</strong> MJy/sr (1 MJy/sr = 10 17 erg s -1 cm -2 Hz -1 sr -<br />

1 ). This method results in a highly accurate calibration for point sources. However, transferring this<br />

calibration to extended sources requires extra thought. The discrepancy between the (standard) point<br />

source calibration and the extended source calibration arises from the complex scattering <strong>of</strong> incident light<br />

in the array focal planes. Our best understanding is that there is a truly diffuse scattering that distributes a<br />

portion <strong>of</strong> the incident flux on a pixel throughout the entire array.<br />

The surface brightness <strong>of</strong> extended emission in <strong>IRAC</strong> images will tend to appear BRIGHTER than it<br />

actually is. The reason for this is two-fold. First, photons that would normally scatter out <strong>of</strong> the PSF<br />

aperture used to measure a point source are instead captured by an extended source. The scattering<br />

depends on the convolution between the <strong>IRAC</strong> PSF and how the light is distributed across the focal plane,<br />

which is usually quite complex for extended sources (galaxies, ISM and nebulae). Second, photons are<br />

scattered into the aperture from the emission regions outside the aperture. As a thought experiment, one<br />

can imagine a single point source inside an aperture, which is easy to measure. But if four point sources<br />

are placed around it just outside the measurement aperture, each <strong>of</strong> them scatters light into the aperture,<br />

which leads to an overestimate <strong>of</strong> the real flux. For the extended source case, we can imagine the same<br />

experiment taken to the limit where all the regions have emitters in them.<br />

For photometry <strong>of</strong> extended sources, the calculated flux inside an aperture must be scaled by the ratio <strong>of</strong><br />

the extended and point source throughputs. The scaling factors (fp/fex) to be used are given in Table 4.7<br />

(the infinite aperture case). Note that these are not really “throughputs," in the sense that they have<br />

anything to do with the number <strong>of</strong> photons reaching the detector. It is more accurate to think <strong>of</strong> them as a<br />

special type <strong>of</strong> an aperture correction. The values in Table 4.7 are for a very extended, red source like the<br />

Zodiacal light.<br />

The most challenging case <strong>of</strong> extended source photometry is <strong>of</strong> objects with sizes on arcminute scales,<br />

within apertures <strong>of</strong> similar size or smaller. Examples might be typical observations <strong>of</strong> nearby galaxies. In<br />

this case the aperture correction is related both to the aperture size and the underlying surface brightness<br />

distribution <strong>of</strong> the target. To derive a set <strong>of</strong> aperture corrections more appropriate to this case, a detailed<br />

analysis <strong>of</strong> early-type spheroidal galaxies (due to the relative ease <strong>of</strong> modeling the light pr<strong>of</strong>iles <strong>of</strong> these<br />

stellar-dominated sources), ranging in size from 20 arcseconds to several arcminutes, was carried out. A<br />

summary <strong>of</strong> the results is given below, including aperture correction curves that may be applied to<br />

photometry <strong>of</strong> all types <strong>of</strong> well-resolved galaxies. These extended source aperture corrections are<br />

somewhat larger than the infinite aperture corrections given in Table 4.7.<br />

A commonly encountered problem is that <strong>of</strong> measuring the total flux <strong>of</strong> extended objects that are still<br />

smaller than the standard aperture size used for the photometric calibration. For example, the background<br />

galaxies seen in all <strong>IRAC</strong> images are <strong>of</strong>ten slightly extended on size-scales <strong>of</strong> a few arcseconds. PRFfitting<br />

photometry <strong>of</strong> such objects will obviously underestimate their fluxes. One methodology for<br />

handling such sources was developed by the SWIRE project; readers are referred to the data release<br />

Calibration 55 Extended Source Photometry

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