Скачать или смотреть A linear wave crossing a prism, version with absorbing boundary conditions

This is a variant of the video    • A linear wave crossing a prism with refrac...   , showing a linear wave crossing a prism, with different boundary conditions at the top and bottom: instead of being periodic (cylindrical), they are absorbing. As a result, there is no interference from waves deflected downwards or upwards, which previously reappeared at the top or bottom. This modification was requested in a comment.
In this variant of the video    • Classics revisited: A linear wave crossing...   , the refractive index of the prism is equal to 2 instead of 1.5. Such an index occurs in certain crystals, such as boron nitrate. Diamonds have an index slightly larger than 2.4.
The color hue depends on the wave height. The boundary conditions are absorbing on the right, top and bottom boundary. The graph at the right shows the wave height near the right boundary of the simulation, slightly averaged over a moving time window.

Render time: 32 minutes 33 seconds
Compression: crf 23
Color scheme: Cividis by Jamie R. Nuñez, Christopher R. Anderton, Ryan S. Renslow
https://journals.plos.org/plosone/art...

Music: "Panoramic Arrival" by Asher Fulero‪@AsherFulero‬

See also
https://images.math.cnrs.fr/des-ondes... for more explanations (in French) on a few previous simulations of wave equations.

The simulation solves the wave equation by discretization. The algorithm is adapted from the paper https://hplgit.github.io/fdm-book/doc...
C code: https://github.com/nilsberglund-orlea...
https://www.idpoisson.fr/berglund/sof...
Many thanks to Marco Mancini and Julian Kauth for helping me to accelerate my code!

#wave #refraction #prism