Dynamical constants for electromagnetic fields with elliptic-cylindrical symmetry
arXiv:0807.0242 · doi:10.1103/PhysRevA.78.033813
Abstract
Taking into account the characteristics of a free scalar field in elliptic coordinates, a new dynamical variable is found for the free electromagnetic field. The conservation law associated to this variable cannot be obtained by direct application of standard Noether theorem since the symmetry generator is of second order. Consequences on the expected mechanical behavior of an atomic system interacting with electromagnetic waves exhibiting such a symmetry are also discussed.
17 pages, 5 figures, revised version, animated graphs provided at http://www.fisica.unam.mx/research/movies
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- Symmetry in optics and photonics: a group theory approach
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- All-optical 3D atomic loops generated with Bessel light fields
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- Spatial light mode analogues of generalized quantum coherent states
- Photons in the presence of parabolic mirrors
- Chaotic dynamics of thermal atoms in labyrinths created by optical lattices
- A curvilinear framework for vector light fields
- Electromagnetic field theory for invariant beams using scalar potentials
- Properties of the Poynting vector for invariant beams: negative propagation in Weber beams
- Generalized optical theorem for propagation invariant beams