The DC Kerr Effect in Nonlinear Optics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908346639974400 |
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| author | Eptaminitakis, Nikolas Stefanov, Plamen |
| author_facet | Eptaminitakis, Nikolas Stefanov, Plamen |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_01392 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The DC Kerr Effect in Nonlinear Optics Eptaminitakis, Nikolas Stefanov, Plamen Analysis of PDEs Mathematical Physics 35R30, 35Q61 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. |
| title | The DC Kerr Effect in Nonlinear Optics |
| topic | Analysis of PDEs Mathematical Physics 35R30, 35Q61 |
| url | https://arxiv.org/abs/2505.01392 |