Spectral representation for the effective macroscopic response of a polycrystal: application to third-order non-linear susceptibility
نویسندگان
چکیده
منابع مشابه
Spectral representation for the effective macroscopic response of a polycrystal: application to third-order non-linear susceptibility
We extend the spectral theory used for the calculation of the effective linear response functions of composites to the case of a polycrystalline material with uniaxially anisotropic microscopic symmetry. As an application, we combine these results with a non-linear decoupling approximation as modified by Ma and co-workers, to calculate the third-order non-linear optical susceptibility of a unia...
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15 صفحه اولSOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.
Existence of periodic solutions for non-linear third order autonomous differential equation (O.D.E.) has not been investigated to as large an extent as non-linear second order. The popular Poincare-Bendixon theorem applicable to second order equation is not valid for third order equation (see [3]). This conclusion opens a way for further investigation.
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15 صفحه اولEffective third-order susceptibility of silicon-nanocrystal-doped silica.
We derive approximate analytic expressions for the effective susceptibility tensor of a nonlinear composite, consisting of silicon nanocrystals embedded in fused silica. Two types of composites are considered: by assuming that (i) the crystallographic axes of different crystallites are the same, or (ii) crystallites are oriented randomly. In the first case, the tensor properties of the effectiv...
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ژورنال
عنوان ژورنال: Journal of Physics: Condensed Matter
سال: 1999
ISSN: 0953-8984,1361-648X
DOI: 10.1088/0953-8984/11/50/324