A1 Refereed original research article in a scientific journal
The Ptolemy–Alhazen Problem and Spherical Mirror Reflection
Authors: Masayo Fujimura, Parisa Hariri, Marcelina Mocanu, Matti Vuorinen
Publisher: Springer
Publication year: 2019
Journal: Computational Methods and Function Theory
Journal name in source: COMPUTATIONAL METHODS AND FUNCTION THEORY
Journal acronym: COMPUT METH FUNCT TH
Volume: 19
Issue: 1
First page : 135
Last page: 155
Number of pages: 21
ISSN: 1617-9447
eISSN: 2195-3724
DOI: https://doi.org/10.1007/s40315-018-0257-z
Web address : https://doi.org/10.1007/s40315-018-0257-z
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/37108274
An ancient optics problem of Ptolemy, studied later by Alhazen, is discussed. This problem deals with reflection of light in spherical mirrors. Mathematically, this reduces to the solution of a quartic equation, which we solve and analyze using a symbolic computation software. Similar problems have been recently studied in connection with ray-tracing, catadioptric optics, scattering of electromagnetic waves, and mathematical billiards, but we were led to this problem in our study of the so-called triangular ratio metric.
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