A note on Berwald eikonal equation

International Conference on Quantum Science and Applications 2016

Ekici, Cumali^1 ; Muradiye, Çimdiker^2

Eskisehir Osmangazi University, Mathematics-Computer Department, Eskisehir

26480, Turkey^1

Kirklareli University, Mathematics Department, Kirklareli

39100, Turkey^2

关键词: Eikonal equation;    Plane interface;    Riemannian map;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012029/pdf
DOI  :  10.1088/1742-6596/766/1/012029

来源: IOP

【 摘 要 】

In this study, firstly, we generalize Berwald map by introducing the concept of a Riemannian map. After that we find Berwald eikonal equation through using the Berwald map. The eikonal equation of geometrical optic that examining light reflects, refracts at smooth, plane interfaces is obtained for Berwald condition.