A Simple and Practical Algorithm for Accurate Gravitational Magnification Maps
Autor: | S. J. Walters, Lawrence K. Forbes |
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Rok vydání: | 2017 |
Předmět: |
Physics
Geodesics in general relativity 010308 nuclear & particles physics Point particle Mathematical analysis FOS: Physical sciences Magnification Astronomy and Astrophysics Astrophysics::Cosmology and Extragalactic Astrophysics Observer (special relativity) 01 natural sciences law.invention Gravitation Lens (optics) Gravitational lens Space and Planetary Science law 0103 physical sciences Practical algorithm Astrophysics - Instrumentation and Methods for Astrophysics Instrumentation and Methods for Astrophysics (astro-ph.IM) 010303 astronomy & astrophysics |
Zdroj: | Publications of the Astronomical Society of Australia. 34 |
ISSN: | 1448-6083 1323-3580 |
DOI: | 10.1017/pasa.2016.62 |
Popis: | 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. 6 pages, 4 figures. Accepted for publication in the Publications of the Astronomical Society of Australia |
Databáze: | OpenAIRE |
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