Formulation of the Snell–Descartes Laws in Terms of Geometric Algebra


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Abstract

A formulation of the laws of reflection and refraction of optical rays by the interface of two isotropic media using the mathematical apparatus of geometric algebra is given. The cases of specular reflection, positive and negative refraction, and refraction in the presence of a metasurface are considered.

About the authors

V. V. Fisanov

V. D. Kuznetsov Siberian Physical-Technical Institute at Tomsk State University; National Research Tomsk State University; Institute of Physical Material Science of the Siberian Branch of the Russian Academy of Sciences

Author for correspondence.
Email: fisanov@mail.tsu.ru
Russian Federation, Tomsk; Tomsk; Ulan-Ude

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