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Suo, Xingpao; Kang, Xi; Wei, Chengliang; Li, Guoliang
Astrophysical journal/The Astrophysical journal, 05/2023, Letnik: 948, Številka: 1Journal Article
Abstract In this paper, we present a spherical Fast Multipole Method (sFMM) for ray-tracing simulation of gravitational lensing on a curved sky. The sFMM is a nontrivial extension of the Fast Multiple Method to sphere S 2 , and it can accurately solve the Poisson equation with time complexity of O ( N ) log ( N ) , where N is the number of particles. It is found that the time complexity of the sFMM is near O ( N ) and the computational accuracy can reach 10 −10 in our test. In addition, compared with the Fast Spherical Harmonic Transform, the sFMM is not only faster but also more accurate, as it has the ability to reserve high-frequency components of the density field. These merits make the sFMM an optimum method to simulate the gravitational lensing on a curved sky, which is the case for upcoming large-area sky surveys, such as the Vera Rubin Observatory and the China Space Station Telescope.
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JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
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