Analytic approach to perturbed Einstein ring with elliptical NFW lens model
Yuta Habara, Kazuhiro Yamamoto (Hiroshima University)
TL;DR
This paper evaluates an approximate perturbative method for modeling strong gravitational lensing by elliptical NFW lenses, providing analytic formulas for image shape, magnification, and caustics near Einstein rings.
Contribution
It extends the perturbative approach to elliptical NFW lenses and derives simple formulas to describe lensing phenomena analytically.
Findings
The approximate method accurately describes image shapes near Einstein rings.
Derived formulas effectively characterize magnification and caustic structures.
The approach simplifies analysis of complex lensing systems.
Abstract
We investigate the validity of the approximate method to describe a strong gravitational lensing which was extended by Alard on the basis of a perturbative approach to an Einstein ring. Adopting an elliptical Navarro-Frenk-White (NFW) lens model, we demonstrate how the approximate method works, focusing on the shape of the image, the magnification, caustics, and the critical line. Simplicity of the approximate method enables us to investigate the lensing phenomena in an analytic way. We derive simple approximate formulas which characterise a lens system near the Einstein ring.
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