Traditional detection probability evaluation method for infrared point target is not appropriate in the condition of complicated background due to the influence of background radiance. Firstly, this paper deduces the traditional detection probability evaluation method for point target under unitary background and analyzes its defects. Then, this paper introduces the idea of probability distribution into the traditional method and proposes a novel detection probability evaluation method under complicated backgrounds. Finally, a detection probability calculation instance shows that the new method can accurately estimate the detection probability under complicated backgrounds.
We present 850 πm imaging of the XMM-LSS field observed for 170 hours as part of the James Clerk Maxwell Telescope SCUBA-2 Large eXtragalactic Survey (S2LXS). S2LXS XMM-LSS maps an area of 9 deg 2 , reaching a moderate depth of 1π 4 mJy beam β1 . This is the largest contiguous area of extragalactic sky mapped by JCMT at 850 πm to date. The wide area of the S2LXS XMM-LSS survey allows us to probe the ultra-bright (π 850πm 15 mJy), yet rare submillimetre population. We present the S2LXS XMM-LSS catalogue, which comprises 40 sources detected at >5π significance, with deboosted flux densities in the range of 7 mJy to 48 mJy. We robustly measure the bright-end of the 850 πm number counts at flux densities >7 mJy, reducing the Poisson errors compared to existing measurements. The S2LXS XMM-LSS observed number counts show the characteristic upturn at bright fluxes, expected to be motivated by local sources of submillimetre emission and high-redshift strongly lensed galaxies. We find that the observed 850 πm number counts are best reproduced by model predictions that include either strong lensing or source blending from a 15 arcsec beam, indicating that both may make an important contribution to the observed over-abundance of bright single dish 850 πm selected sources. We make the S2LXS XMM-LSS 850 πm map and >5π catalogue presented here publicly available.
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