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A simple and practical algorithm for accurate gravitational magnification maps

Walters, SJ and Forbes, LK ORCID: 0000-0002-9135-3594 2017 , 'A simple and practical algorithm for accurate gravitational magnification maps' , Astronomical Society of Australia. Publications, vol. 34 , pp. 1-6 , doi: 10.1017/pasa.2016.62.

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Abstract

In 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.

Item Type: Article
Authors/Creators:Walters, SJ and Forbes, LK
Keywords: gravitational lensing, planets and satellites, detection, micro methods, analytical methods,
Journal or Publication Title: Astronomical Society of Australia. Publications
Publisher: Cambridge University Press
ISSN: 1448-6083
DOI / ID Number: 10.1017/pasa.2016.62
Copyright Information:

Copyright 2017 Astronomical Society of Australia

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