Finslerian representation of the Maxwell equations

Dmitry S. Kulyabov; Anna V. Korolkova; Tatiana R. Velieva; Anastasia V. Demidova

doi:10.1117/12.2525534

3 June 2019 Finslerian representation of the Maxwell equations

Dmitry S. Kulyabov, Anna V. Korolkova, Tatiana R. Velieva, Anastasia V. Demidova

Proceedings Volume 11066, Saratov Fall Meeting 2018: Laser Physics, Photonic Technologies, and Molecular Modeling; 110660P (2019) https://doi.org/10.1117/12.2525534
Event: International Symposium on Optics and Biophotonics VI: Saratov Fall Meeting 2018, 2018, Saratov, Russian Federation

Abstract

When the Maxwell equations are geometrized, the Maxwell Lagrangian is usually reduced to the Yang-Mills Lagrangian. In this case, the effective quadratic metric, usually corresponding to the Riemannian metric of our space, is considered. However, it is more reasonable to use Finsler approach to Maxwell’s equations. In the paper the Finsler representation of the geometrized Maxwell equations is considered. The comparison with the Riemannian approach also is made.

Citation Download Citation

Dmitry S. Kulyabov, Anna V. Korolkova, Tatiana R. Velieva, and Anastasia V. Demidova "Finslerian representation of the Maxwell equations", Proc. SPIE 11066, Saratov Fall Meeting 2018: Laser Physics, Photonic Technologies, and Molecular Modeling, 110660P (3 June 2019); https://doi.org/10.1117/12.2525534

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