Fermat Principle for spinning light
arXiv:cond-mat/0509636 · doi:10.1103/PhysRevD.74.021701
Abstract
Mimicking the description of spinning particles in General Relativity, the Fermat Principle is extended to spinning photons. Linearization of the resulting Papapetrou-Souriau type equations yields the semiclassical model used recently to derive the ``Optical Hall Effect'' (alias the ``Optical Magnus Effect'') for polarized light.
Final revised version, to appear in Phys. Rev. D (Rapid Communication). 5 pages, no figures
References in corpus (8)
- Dissipationless Quantum Spin Current at Room Temperature
- Hall Effect of Light
- Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
- Anomalous Hall effect in ferromagnetic semiconductors
- Topological spin transport of photons: the optical Magnus Effect and Berry Phase
- Spin Hall effect and Berry phase of spinning particles
- Modified geometrical optics of a smoothly inhomogeneous isotropic medium: the anisotropy, Berry phase, and the optical Magnus effect
- What are the left-handed media and what is interesting about them?
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