Surface Brightness Correction for Compact Extended Sources Observed by the AKARI Far-Infrared Surveyor (FIS) in the Slow-Scan Mode
Toshiya Ueta, R. L. Tomasino, Satoshi Takita, Hideyuki Izumiura, Mai, Shirahata, Andrew Fullard, Issei Yamamura, and Shuji Matsuura

TL;DR
This paper introduces a new surface brightness correction method for AKARI FIS slow-scan observations, improving flux accuracy for compact extended sources by re-scaling raw maps based on a surface-brightness-dependent response function.
Contribution
The paper presents a novel correction scheme applicable to various source shapes, utilizing a power-law FIS response function for improved photometric accuracy.
Findings
Photometric accuracy better than 10% achieved.
Flux overestimates up to 230% without correction.
Flux underestimates down to 50% without correction.
Abstract
We present a general surface brightness correction method for compact extended sources imaged in the slow-scan pointed observation mode of the Far-Infrared Surveyor (FIS) aboard the AKARI Infrared Astronomical Satellite. Our method recovers correct surface brightness distribution maps by re-scaling archived raw FIS maps using the surface-brightness-dependent inverse FIS response function. The flux of a target source is then automatically corrected for as the simple sum of surface brightnesses within the adopted contour encircling the perimeter of the target (i.e., contour photometry). This correction method is contrasted to the previous aperture photometry method for point sources, which directly corrects for the target flux with a flux-dependent scaling law. The new surface brightness correction scheme is applicable to objects of any shape from unresolved point sources to resolved…
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