The Ptolemy–Alhazen Problem and Spherical Mirror Reflection
Parisa Hariri; Matti Vuorinen; Marcelina Mocanu; Masayo Fujimura
The Ptolemy–Alhazen Problem and Spherical Mirror Reflection
Parisa Hariri
Matti Vuorinen
Marcelina Mocanu
Masayo Fujimura
Springer
Julkaisun pysyvä osoite on:
https://urn.fi/URN:NBN:fi-fe2021042720429
https://urn.fi/URN:NBN:fi-fe2021042720429
Tiivistelmä
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.
Kokoelmat
- Rinnakkaistallenteet [19207]