The Ptolemy–Alhazen Problem and Spherical Mirror Reflection
In: 19; Computational Methods and Function Theory; URN:NBN:fi-fe2021042720429; (2022)
Online
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Zugriff:
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.
Titel: |
The Ptolemy–Alhazen Problem and Spherical Mirror Reflection
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Autor/in / Beteiligte Person: | Hariri, Parisa ; Vuorinen, Matti ; Mocanu, Marcelina ; Fujimura, Masayo ; matematiikka, Mathematics ; 2606101 |
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Quelle: | 19; Computational Methods and Function Theory; URN:NBN:fi-fe2021042720429; (2022) |
Veröffentlichung: | Springer ; Saksa ; Germany ; DE, 2022 |
Medientyp: | unknown |
ISSN: | 2195-3724 (print) ; 1617-9447 (print) |
DOI: | 10.1007/s40315-018-0257-z |
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