The DC Kerr Effect in Nonlinear Optics

2025/05/02 by Eptaminitakis, Nikolas, Stefanov, Plamen · 1 citation
#35Q61 #35R30 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2505.01392

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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