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IRAC Instrument Handbook - IRSA - California Institute of Technology

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

This is mostly noticeable in very low background conditions. This is corrected by adding to the individual<br />

readout channels a common mean <strong>of</strong>fset. For any image, the flux in a pixel is assumed to be<br />

A i,<br />

j Si<br />

, j + B + DC<br />

+ D<br />

i , j Oi<br />

, j<br />

= (5.13)<br />

where A is the detected intensity in DN, S is the incident “science flux" (celestial background + objects),<br />

B is a constant <strong>of</strong>fset in the frame, DC is the standard calibration dark, and DO is the dark <strong>of</strong>fset. The first<br />

dark varies on a pixel by pixel basis, whereas the <strong>of</strong>fsets are assumed to vary on a readout channel basis.<br />

It can be assumed that the mean Si,j is the same for all readout channels i, and therefore there is a mean<br />

estimator function M for each readout channel<br />

The corrected image (post dark-subtraction) is then<br />

Mi = MeanEstimator(Si,0…Si,n) (5.14)<br />

4<br />

'<br />

1<br />

A i j = Ai,<br />

j − ( M i − M i )<br />

(5.15)<br />

4<br />

, ∑<br />

i=<br />

1<br />

5.1.13 FOWLINEARIZE (detector linearization)<br />

Like most detectors, the <strong>IRAC</strong> arrays are non-linear near full-well capacity. The number <strong>of</strong> read-out DN<br />

is not proportional to the total number <strong>of</strong> incident photons, rather it becomes increasingly small as the<br />

number <strong>of</strong> photons increases. In <strong>IRAC</strong>, if fluxes are at levels above half full-well (typically 20,000–<br />

30,000 DN in the raw data), they can be non-linear by several percent. During processing the raw data are<br />

linearized on a pixel-by-pixel basis using a model derived from ground-based test data and re-verified in<br />

flight. The s<strong>of</strong>tware module that does this is called FOWLINEARIZE. FOWLINEARIZE works by<br />

applying a correction to each pixel based on the number <strong>of</strong> DN, the frame time, and the linearity solution.<br />

For channels 1, 2 and 4, we use a quadratic solution, i.e., we model the detector response as<br />

DNobs = kmt – Ak 2 t 2 (5.16)<br />

Pipeline Processing 82 Level 1 (BCD) Pipeline

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