Analytic approach to perturbed Einstein ring with elliptical NFW lens model

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.

31 pages, 12 figures, accepted for publication in International Journal of Modern Physics D

References in corpus (7)

• The Sloan Digital Sky Survey Quasar Lens Search. III. Constraints on Dark Energy from the Third Data Release Quasar Lens Catalog
• Gravitational lensing as a probe of cold dark matter subhalos
• Gravitational arcs as a perturbation of the perfect ring
• Numerical investigation of lenses with substructures using the perturbative method
• Perturbative reconstruction of a gravitational lens: when mass does not follow light
• Perturbative signature of substructures in strong gravitational lenses
• Separating inner and outer contributions in gravitational lenses using the perturbative method

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