Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of an Electromagnetic Wave Packet
Abstract
We present a solution to the problem of reflection and refraction of a polarized Gaussian beam on the interface between two transparent media. The transverse shifts of the beams’ centers of gravity are calculated. They always satisfy the total angular momentum conservation law for beams, but, in general, do not satisfy the conservation laws for individual photons as a consequence of the lack of the “which path” information in a two-channel wave scattering. The field structure for the reflected and refracted beams is analyzed. In the scattering of a linearly polarized beam, photons of opposite helicities are accumulated at the opposite edges of the beam: this is the spin Hall effect for photons, which can be registered in the cross-polarized component of the scattered beam.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 2006
- DOI:
- arXiv:
- arXiv:physics/0508093
- Bibcode:
- 2006PhRvL..96g3903B
- Keywords:
-
- 42.90.+m;
- 42.15.-i;
- 42.25.Gy;
- 42.25.Ja;
- Other topics in optics;
- Geometrical optics;
- Edge and boundary effects;
- reflection and refraction;
- Polarization;
- Physics - Optics;
- Condensed Matter - Other;
- Quantum Physics
- E-Print:
- 5 pages, 2 pictures, note regarding experimental observation of the spin Hall effect of light is added, which is absent in the journal version