A geometric approach to the Lagrangian and Hamiltonian formalism of electrodynamics

Kulyabov, Dmitry S.; Korolkova, Anna V.; Sevastianov, Leonid A.; Eferina, Ekaterina G.; Velieva, T. R.

doi:10.1117/12.2267944

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The Case Of Constant Coefficients1

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2018

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“…In particular, if the field in question has a gap at 0 t  , the gap propagates along the rays according to the laws of geometrical optics, as it should be, according to the Lüneburg [1]. Thus our approach give a true geometrical interpretation of Maxwell's equations, this is the first step on the way of the geometrization of classical electrodynamics [6][7][8]…”

Section: The Case Of Constant Coefficientsmentioning

confidence: 85%

Electromagnetic Radiation from the Geometrical Point of View

2018

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The article describes the relationship between the solutions of Maxwell's equations which can be considered at least locally as plane waves and the curvilinear coordinates of geometrical optics. We introduce phase-ray coordinate system for any electromagnetic field if vectors E and H are orthogonal to each other and their directions do not change with time t, but may vary from point to point in the domain G.

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