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Fast Calculation of Gravitational Lensing Properties of Elliptical Navarro-Frenk-White and Hernquist Density Profiles

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

We present a new approach for fast calculation of gravitational lensing properties, including the lens potential, deflection angles, convergence, and shear, of elliptical Navarro-Frenk-White (NFW) and Hernquist density profiles, by approximating them by superpositions of elliptical density profiles for which simple analytic expressions of gravitational lensing properties are available. This model achieves high fractional accuracy better than $10^{-4}$ in the range of the radius normalized by the scale radius of $10^{-4}-10^3$. These new approximations are $\sim 300$ times faster in solving the lens equation for a point source compared with the traditional approach resorting to expensive numerical integrations, and are implemented in {\tt glafic} software.

fields

astro-ph.CO 2

years

2026 1 2025 1

representative citing papers

Lambda as a Probe of Lensing Consistency

astro-ph.CO · 2026-07-09 · conditional · novelty 6.0

Spatially resolved λ(r) from the mass-sheet degeneracy quantifies the radial transition in reliability between strong and weak lensing mass reconstructions of galaxy clusters.

citing papers explorer

Showing 2 of 2 citing papers.

  • Lambda as a Probe of Lensing Consistency astro-ph.CO · 2026-07-09 · conditional · none · ref 39 · internal anchor

    Spatially resolved λ(r) from the mass-sheet degeneracy quantifies the radial transition in reliability between strong and weak lensing mass reconstructions of galaxy clusters.

  • Probing Dark Matter Substructure with Image Number Anomaly in Strong Lensing Systems astro-ph.CO · 2025-11-21 · unverdicted · none · ref 27

    Null detection of extra lensed images in 3500 mock systems constrains PBH abundance to ≲0.04-0.125% and excludes FDM masses below 0.4-3.5×10^{-22} eV at 95% CL depending on angular resolution.