期刊
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
卷 459, 期 4, 页码 4467-4484出版社
OXFORD UNIV PRESS
DOI: 10.1093/mnras/stw879
关键词
gravitational lensing: weak; methods: data analysis
资金
- National Science Foundation [AST-1311924]
- Department of Energy [DE-SC007901]
- NASA [NNX11AI25G]
- JPL under NASA [ROSES-12-EUCLID12-0004]
- Princeton University
- Division Of Astronomical Sciences
- Direct For Mathematical & Physical Scien [1311924] Funding Source: National Science Foundation
- NASA [144847, NNX11AI25G] Funding Source: Federal RePORTER
We demonstrate highly accurate recovery of weak gravitational lensing shear using an implementation of the Bayesian Fourier Domain (BFD) method proposed by Bernstein & Armstrong, extended to correct for selection biases. The BFD formalism is rigorously correct for Nyquist-sampled, background-limited, uncrowded images of background galaxies. BFD does not assign shapes to galaxies, instead compressing the pixel data D into a vector of moments M, such that we have an analytic expression for the probability P(M|g) of obtaining the observations with gravitational lensing distortion g along the line of sight. We implement an algorithm for conducting BFD's integrations over the population of unlensed source galaxies which measures a parts per thousand 10 galaxies s(-1) core(-1) with good scaling properties. Initial tests of this code on a parts per thousand 10(9) simulated lensed galaxy images recover the simulated shear to a fractional accuracy of m = (2.1 +/- 0.4) x 10(-3), substantially more accurate than has been demonstrated previously for any generally applicable method. Deep sky exposures generate a sufficiently accurate approximation to the noiseless, unlensed galaxy population distribution assumed as input to BFD. Potential extensions of the method include simultaneous measurement of magnification and shear; multiple-exposure, multiband observations; and joint inference of photometric redshifts and lensing tomography.
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