Cosmic Shear Measurement using Autoconvolved Images
arXiv:1607.07545 · doi:10.3847/0004-637X/830/2/116
Abstract
We study the possibility of using quadrupole moments of auto-convolved galaxy images to measure cosmic shear. The autoconvolution of an image corresponds to the inverse Fourier transformation of its power spectrum. The new method has the following advantages: the smearing effect due to the Point Spread Function (PSF) can be corrected by subtracting the quadrupole moments of the auto-convolved PSF; the centroid of the auto-convolved image is trivially identified; the systematic error due to noise can be directly removed in Fourier space; the PSF image can also contain noise, the effect of which can be similarly removed. With a large ensemble of simulated galaxy images, we show that the new method can reach a sub-percent level accuracy in general conditions, albeit with increasingly large stamp size for galaxies of less compact profiles.
arXiv comment8 pages, 6 figures, ApJ accepted
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- Analytical Noise Bias Correction for Weak Lensing Shear Analysis with ERA
- FPFS Shear Estimator: Systematic Tests on the Hyper Suprime-Cam Survey First Year Data