A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
The Ptolemy–Alhazen Problem and Spherical Mirror Reflection
Tekijät: Masayo Fujimura, Parisa Hariri, Marcelina Mocanu, Matti Vuorinen
Kustantaja: Springer
Julkaisuvuosi: 2019
Journal: Computational Methods and Function Theory
Tietokannassa oleva lehden nimi: COMPUTATIONAL METHODS AND FUNCTION THEORY
Lehden akronyymi: COMPUT METH FUNCT TH
Vuosikerta: 19
Numero: 1
Aloitussivu: 135
Lopetussivu: 155
Sivujen määrä: 21
ISSN: 1617-9447
eISSN: 2195-3724
DOI: https://doi.org/10.1007/s40315-018-0257-z
Verkko-osoite: https://doi.org/10.1007/s40315-018-0257-z
Rinnakkaistallenteen osoite: 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.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
