A Scalar Wigner Theory for Polarized Light in Nonlinear Kerr Media
arXiv:1210.7107 · doi:10.1364/JOSAB.30.001765
Abstract
A scalar Wigner distribution function for describing polarized light is proposed in analogy with the treatment of spin variables in quantum kinetic theory. The formalism is applied to the propagation of circularly polarized light in nonlinear Kerr media and an extended phase space evolution equation is derived along with invariant quantities. We further consider modulation instability as well as the extension to partially coherent fields.
6 pages
References in corpus (9)
- Nonlinear collective effects in photon-photon and photon-plasma interactions
- Dynamics of spin 1/2 quantum plasmas
- Quantum optics in the phase space - A tutorial on Gaussian states
- Spin magnetohydrodynamics
- Instability and Evolution of Nonlinearly Interacting Water Waves
- Magnetosonic solitons in a Fermionic quantum plasma
- Vortical Dynamics of spinning quantum plasmas - Helicity Conservation
- A linearized kinetic theory of spin-1/2 particles in magnetized plasmas
- On the possibility of metamaterial properties in spin plasmas