A Scalar Wigner Theory for Polarized Light in Nonlinear Kerr Media
T. Hansson, E. Wallin, G. Brodin, M. Marklund
TL;DR
This paper introduces a scalar Wigner distribution framework for polarized light in nonlinear Kerr media, deriving evolution equations and invariants, and exploring modulation instability and partial coherence effects.
Contribution
It presents a novel scalar Wigner theory for polarized light, extending quantum kinetic analogies to nonlinear optical propagation.
Findings
Derived extended phase space evolution equations.
Identified invariant quantities in the formalism.
Analyzed modulation instability and partial coherence extensions.
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.
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