Unified lensing and kinematic analysis for any elliptical mass profile
arXiv:1906.08263 · doi:10.1093/mnras/stz1796
Abstract
We demonstrate an efficient method to compute the strong-gravitational-lensing deflection angle and magnification for any elliptical surface-density profile. This method solves a numerical hurdle in lens modelling that has lacked a general solution for nearly three decades. The hurdle emerges because it is prohibitive to derive analytic expressions of the lensing quantities for most elliptical mass profiles. In our method, we first decompose an elliptical mass profile into Gaussian components. We introduce an integral transform that provides us with a fast and accurate algorithm for the Gaussian decomposition. We derive analytic expressions of the lensing quantities for a Gaussian component. As a result, we can compute these quantities for the total mass profile by adding up the contributions from the individual components. This lensing analysis self-consistently completes the kinematic description in terms of Gaussian components presented by Cappellari (2008). Our method is general without extra computational burden unlike other methods currently in use.
arXiv comment11 pages + appendices, 6 figures, submitted to MNRAS. An interactive jupyter notebook version of this paper is accessible on Google colab at https://colab.research.google.com/drive/10jw5T07mhvdP0hp60HqVqNqWK49Cfzby
References in corpus (31)
- A Universal Density Profile from Hierarchical Clustering
- Measuring the inclination and mass-to-light ratio of axisymmetric galaxies via anisotropic Jeans models of stellar kinematics
- Efficient Multi-Gaussian Expansion of galaxies
- Massive Dark-matter halos and Evolution of Early-type Galaxies to z=1
- Probing the Coevolution of Supermassive Black Holes and Galaxies Using Gravitationally Lensed Quasar Hosts
- The Structure & Dynamics of Massive Early-type Galaxies: On Homology, Isothermality and Isotropy inside one Effective Radius
- Gravitational detection of a low-mass dark satellite at cosmological distance
- H0LiCOW - IX. Cosmographic analysis of the doubly imaged quasar SDSS 1206+4332 and a new measurement of the Hubble constant
- Two accurate time-delay distances from strong lensing: Implications for cosmology
- Lenstronomy: multi-purpose gravitational lens modelling software package
- Dark matter in elliptical galaxies: II. Estimating the mass within the virial radius
- Dust and Extinction Curves in Galaxies with z>0: The Interstellar Medium of Gravitational Lens Galaxies
- Two-dimensional kinematics of SLACS lenses: III. Mass structure and dynamics of early-type lens galaxies beyond z ~ 0.1
- Mass-sheet degeneracy, power-law models and external convergence: Impact on the determination of the Hubble constant from gravitational lensing
- Cosmology from gravitational lens time delays and Planck data
- H0LiCOW IV. Lens mass model of HE 0435-1223 and blind measurement of its time-delay distance for cosmology
- Inference of the Cold Dark Matter substructure mass function at z=0.2 using strong gravitational lenses
- Fast calculation of a family of elliptical mass gravitational lens models
- Pseudo Elliptical Lensing Mass Model: Application to the NFW Mass Distribution
- Source-position transformation -- an approximate invariance in strong gravitational lensing
- The SL2S Galaxy-scale Lens Sample. III. Lens Models, Surface Photometry and Stellar Masses for the final sample
- Cluster cross sections for strong lensing: analytic and numerical lens models
- Is every strong lens model unhappy in its own way? Uniform modelling of a sample of 13 quadruply+ imaged quasars
- A calibration of the stellar mass fundamental plane at z ~ 0.5 using the micro-lensing induced flux ratio anomalies of macro-lensed quasars
- The SWELLS survey. II. Breaking the disk-halo degeneracy in the spiral galaxy gravitational lens SDSS J2141-0001
- The elliptical power law profile lens
- Time-delay cosmographic forecasts with strong lensing and JWST stellar kinematics
- On the Choice of Lens Density Profile in Time Delay Cosmography
- Replacing standard galaxy profiles with mixtures of Gaussians
- Galaxy density profiles and shapes -- I. simulation pipeline for lensing by realistic galaxy models
- Algorithm 985: Simple, efficient, and relatively accurate approximation for the evaluation of the Faddeyeva function
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- A 4% measurement of using the cumulative distribution of strong-lensing time delays in doubly-imaged quasars
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- TDCOSMO VIII: A key test of systematics in the hierarchical method of time-delay cosmography
- The COSMOS-Web Lens Survey (COWLS) I: Discovery of >100 high redshift strong lenses in contiguous JWST imaging
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