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• W2082600259 abstract "Using both numerical and analytical techniques, we investigate various ways to enhance the cubic nonlinear susceptibility ${mathrm{ensuremath{chi}}}_{mathit{e}}$ of a composite material. We start from the exact relation ${mathrm{ensuremath{chi}}}_{mathit{e}}$ =${mathit{tsum}}_{mathit{i}}$${mathit{p}}_{mathit{i}}$${mathrm{ensuremath{chi}}}_{mathit{i}}$〈(Eensuremath{cdot}E${)}^{2}$${mathrm{〉}}_{mathit{i},mathrm{l}mathrm{i}mathrm{n}}$/ ${mathit{E}}_{0}^{4}$, where ${mathrm{ensuremath{chi}}}_{mathit{i}}$ and ${mathit{p}}_{mathit{i}}$ are the cubic nonlinear susceptibility and volume fraction of the ith component, ${mathit{E}}_{0}$ is the applied electric field, and 〈${mathit{E}}^{4}$${mathrm{〉}}_{mathit{i},mathrm{l}mathrm{i}mathrm{n}}$ is the expectation value of the electric field in the ith component, calculated in the linear limit where ${mathrm{ensuremath{chi}}}_{mathit{i}}$=0. In our numerical work, we represent the composite by a random resistor or impedance network, calculating the electric-field distributions by a generalized transfer-matrix algorithm. Under certain conditions, we find that ${mathrm{ensuremath{chi}}}_{mathit{e}}$ is greatly enhanced near the percolation threshold. We also find a large enhancement for a linear fractal in a nonlinear host. In a random Drude metal-insulator composite ${mathrm{ensuremath{chi}}}_{mathit{e}}$ is hugely enhanced especially near frequencies which correspond to the surface-plasmon resonance spectrum of the composite. At zero frequency, the random composite results are reasonably well described by a nonlinear effective-medium approximation. The finite-frequency enhancement shows very strong reproducible structure which is nearly undetectable in the linear response of the composite, and which may possibly be described by a generalized nonlinear effective-medium approximation. The fractal results agree qualitatively with a nonlinear differential effective-medium approximation. Finally, we consider a suspension of coated spheres embedded in a host. If the coating is nonlinear, we show that ${mathrm{ensuremath{chi}}}_{mathit{e}}$/${mathrm{ensuremath{chi}}}_{mathrm{coat}}$ensuremath{gg}1 near the surface-plasmon resonance frequency of the core particle." @default.
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• W2082600259 date "1994-01-01" @default.
• W2082600259 modified "2023-09-23" @default.
• W2082600259 title "Numerical studies of the nonlinear properties of composites" @default.
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• W2082600259 doi "https://doi.org/10.1103/physrevb.49.944" @default.
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