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

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Russian Physics Journal Aims and scope

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.

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Authors and Affiliations

  1. V. D. Kuznetsov Siberian Physical-Technical Institute at Tomsk State University, Tomsk, Russia

    V. V. Fisanov

  2. National Research Tomsk State University, Tomsk, Russia

    V. V. Fisanov

  3. Institute of Physical Material Science of the Siberian Branch of the Russian Academy of Sciences, Ulan-Ude, Russia

    V. V. Fisanov

Authors
  1. V. V. Fisanov
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Correspondence to V. V. Fisanov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 54–58, May, 2019.

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Fisanov, V.V. Formulation of the Snell–Descartes Laws in Terms of Geometric Algebra. Russ Phys J 62, 794–799 (2019). https://doi.org/10.1007/s11182-019-01779-9

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  • DOI: https://doi.org/10.1007/s11182-019-01779-9

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