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A simple and practical algorithm for accurate gravitational magnification maps
journal contribution
posted on 2023-05-19, 04:35 authored by Stephen WaltersStephen Walters, Lawrence ForbesLawrence ForbesIn this brief communication, a new method is outlined for modelling magnification patterns on an observer’s plane using a first-order approximation to the null geodesic path equations for a point mass lens. For each ray emitted from a source, an explicit calculation is made for the change in position on the observer’s plane due to each lens mass. By counting the number of points in each small area of the observer’s plane, the magnification at that point can be determined. This allows for a very simple and transparent algorithm. A short Matlab code sample for creating simple magnification maps due to multiple point lenses is included in an appendix.
Funding
Australian Research Council
History
Publication title
Astronomical Society of Australia. PublicationsVolume
34Article number
e006Number
e006Pagination
1-6ISSN
1448-6083Department/School
School of Natural SciencesPublisher
Cambridge University PressPlace of publication
United KingdomRights statement
Copyright 2017 Astronomical Society of AustraliaRepository Status
- Restricted