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arXiv · 2505.01392

The DC Kerr Effect in Nonlinear Optics

Nikolas Eptaminitakis·Plamen Stefanov
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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 $h$ being a small parameter. We justify the effect within this model, and also solve the inverse problem of recovery of the nonlinear susceptibility $χ^{(3)}$ from the change of the polarization.

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Nikolas Eptaminitakis, Plamen Stefanov. 2025-05-02. The DC Kerr Effect in Nonlinear Optics. https://arxiv.org/abs/2505.01392

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