Dependence of the Nonlinear-Optical Response of Materials on their Linear $ε$ and $μ$
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arXiv
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2020
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| author | Solís, Diego M. Boyd, Robert W. Engheta, Nader |
| author_facet | Solís, Diego M. Boyd, Robert W. Engheta, Nader |
| contents | We investigate, theoretically and numerically, the dependence of a material's nonlinear-optical response on the linear relative electric permittivity $ε$ and magnetic permeability $μ$. The conversion efficiency of low-order harmonic-generation processes, as well as the increase rate of Kerr-effect nonlinear phase shift and nonlinear losses from two-photon absorption (TPA), are seen to increase with decreasing $ε$ and/or increasing $μ$. We also discuss the rationale and physical insights behind this nonlinear response, particularly its enhancement in $ε$-near-zero (ENZ) media. This behavior is consistent with the experimental observation of intriguingly high effective nonlinear refractive index in degenerate semiconductors such as indium tin oxide [\textit{Alam et al., Science 352 (795), 2016}] (where the nonlinearity is attributed to a modification of the energy distribution of conduction-band electrons due to laser-induced electron heating) and aluminum zinc oxide [\textit{Caspani et al., Phys. Rev. Lett. 116 (233901), 2016}] at frequencies with vanishing real part of the linear permittivity. Such strong nonlinear response can pave the way for a new paradigm in nonlinear optics with much higher conversion efficiencies and therefore better miniaturization capabilities and power requirements for next-generation integrated nanophotonics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2008_10512 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Dependence of the Nonlinear-Optical Response of Materials on their Linear $ε$ and $μ$ Solís, Diego M. Boyd, Robert W. Engheta, Nader Optics Applied Physics We investigate, theoretically and numerically, the dependence of a material's nonlinear-optical response on the linear relative electric permittivity $ε$ and magnetic permeability $μ$. The conversion efficiency of low-order harmonic-generation processes, as well as the increase rate of Kerr-effect nonlinear phase shift and nonlinear losses from two-photon absorption (TPA), are seen to increase with decreasing $ε$ and/or increasing $μ$. We also discuss the rationale and physical insights behind this nonlinear response, particularly its enhancement in $ε$-near-zero (ENZ) media. This behavior is consistent with the experimental observation of intriguingly high effective nonlinear refractive index in degenerate semiconductors such as indium tin oxide [\textit{Alam et al., Science 352 (795), 2016}] (where the nonlinearity is attributed to a modification of the energy distribution of conduction-band electrons due to laser-induced electron heating) and aluminum zinc oxide [\textit{Caspani et al., Phys. Rev. Lett. 116 (233901), 2016}] at frequencies with vanishing real part of the linear permittivity. Such strong nonlinear response can pave the way for a new paradigm in nonlinear optics with much higher conversion efficiencies and therefore better miniaturization capabilities and power requirements for next-generation integrated nanophotonics. |
| title | Dependence of the Nonlinear-Optical Response of Materials on their Linear $ε$ and $μ$ |
| topic | Optics Applied Physics |
| url | https://arxiv.org/abs/2008.10512 |