The DC Kerr Effect in Nonlinear Optics
Analysis of PDEs
2025-05-05 v1 Mathematical Physics
math.MP
Abstract
We use weakly nonlinear geometric optics to study a model for the DC Kerr effect (the Kerr electro-optic effect), in which a light beam propagating through a material with strong nonlinear optical properties can have its polarization rotated by applying a strong external electric field. This effect is used to build fast switches (Kerr cells). We prove existence of an exact solution of the nonlinear Maxwell system with a cubic Kerr nonlinearity, with the wavelength being a small parameter. We justify the effect within this model, and also solve the inverse problem of recovery of the nonlinear susceptibility from the change of the polarization.
Cite
@article{arxiv.2505.01392,
title = {The DC Kerr Effect in Nonlinear Optics},
author = {Nikolas Eptaminitakis and Plamen Stefanov},
journal= {arXiv preprint arXiv:2505.01392},
year = {2025}
}