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A note on a linearized approach to gravitational lensing
journal contribution
posted on 2023-05-17, 09:19 authored by Stephen WaltersStephen Walters, Lawrence ForbesLawrence ForbesA recent paper by Walters, Forbes and Jarvis presented new kinematic formulae for ray tracing in gravitational lensing models. The approach can generate caustic maps, but is computationally expensive. Here, a linearized approximation to that formulation is presented. Although still complicated, the linearized equations admit a remarkable closed-form solution. As a result, linearized approximations to the caustic patterns may be generated extremely rapidly, and are found to be in good agreement with the results of full non-linear computation. The usual Einstein-angle approximation is derived as a small angle approximation to the solution presented here.
History
Publication title
Monthly Notices of the Royal Astronomical SocietyVolume
416Issue
4Pagination
3067-3074ISSN
1365-2966Department/School
School of Natural SciencesPublisher
Wiley-Blackwell Publishing Ltd.Place of publication
United KingdomRights statement
The definitive published version is available online at: http://www3.interscience.wiley.com/Repository Status
- Restricted