Weak lensing magnification reconstruction with the modified internal linear combination method

Measuring weak lensing cosmic magnification signal is very challenging due to the overwhelming intrinsic clustering in observed galaxy distribution. In this paper, we modify Internal Linear Combination (ILC) method reconstruct with an extra constraint suppress clustering. To quantify performance, construct a realistic catalogue for LSST-like photometric survey, covering $20\,000\ \deg^2$ mean source redshift at $z_s\sim 1$. We find that reconstruction performance depends on width of photo-z bin choose. Due correlation between and distribution, derived has smaller systematic bias but larger statistical uncertainty narrower bin. conclude Modified ILC unbiased $<5\%$ $\Delta z^P = 0.2$.