Finslerian representation of the Maxwell equations

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. © COPYRIGHT SPIE. Downloading of the abstract is permitted for personal use only.

Publisher
SPIE
Language
English
Status
Published
Number
110660P
Volume
11066
Year
2019
Organizations
  • 1 Department of Applied Probability and Informatics, Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya st., Moscow, 117198, Russian Federation
  • 2 Laboratory of Information Technologies Joint Institute for Nuclear Research, 6 Joliot-Curie, Dubna, Moscow region, 141980, Russian Federation
Keywords
Finsler geometry; Maxwells equations; Riemannian geometry; transformation optics
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