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Optical properties
Influence of the dimension of a polycrystalline film and the optical anisotropy of crystallites on the effective dielectric constant of the film
E. M. Aver'yanov L. V. Kirensky Institute of Physics, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk
Abstract:
The dimension $D$ of a polycrystalline film and the optical anisotropy $m = \varepsilon_{z}/\varepsilon_{x}$ of uniaxial crystallites with the principal components $\varepsilon_{x} = \varepsilon_{y}$ and $\varepsilon_{z}$ of the tensor of the dielectric constant have been shown to produce a strong influence on the effective dielectric constant $\varepsilon_{D}^{*}$ and the effective refractive index $n_{D}^{*}= {(\varepsilon_{D}^{*})}^{1/2}$ of the film in the optical transparency region, as well as on the boundaries of the intervals $B_{Dl}\le \varepsilon_{D}^{*}\le B_{Du}$. The intervals $\Delta_{2}(m)= B_{2l}-B_{2u}$ and $\Delta_{3}(m)=B_{3l}-B_{3u}$ are separated by a gap for m in the range 1 $<m<$ 2, whereas the theoretical dependence $\varepsilon_{2}^{*}(m)$ is separated by a gap from the interval $\Delta_{3}(m)$ for $m$ in the range 1 $<m<$ 4. This is confirmed by a comparison of the experimental $(n_{oP})$ and theoretical $(n_{2}^{*})$ ordinary refractive indices for uniaxial polycrystalline films of the conjugated polymer poly(p-phenylene vinylene) (PPV) with uniaxial crystallites and appropriate values of $m$. In the visible transparency region of the PPV films with a change in $m(\lambda)$ in the range 2 $<m(\lambda)<$ 3 due to the dependence of the components $\varepsilon_{x,z}(\lambda)$ on the light wavelength $\lambda$, the refractive indices $n_{oP}^{2}(\lambda)= \varepsilon_{oP}(\lambda)$ are consistent with the theoretical values of $\varepsilon_{2}^{*}(\lambda)$ and lie outside the interval $\Delta_{3}(m)$. For $m(\lambda)>$ 3 near the electronic absorption band of the crystallites, the values of $\varepsilon_{oP}(\lambda)$ lie in the region of the overlap of the intervals $\Delta_{2}(m)$ and $\Delta_{3}(m)$. The boundaries $m_{c}$ of the range 1 $<m<m_{c}$ are determined, for which the interval $\Delta_{2}(m)$ is separated by a gap from the dependences $\varepsilon_{3}^{*}(m)$ corresponding to the effective medium theory with spherical crystallites and hierarchical models of a polycrystal, as well as from the proposed new dependence $\varepsilon_{3}^{*}(m)$.
Received: 29.12.2015 Revised: 02.02.2016
Citation:
E. M. Aver'yanov, “Influence of the dimension of a polycrystalline film and the optical anisotropy of crystallites on the effective dielectric constant of the film”, Fizika Tverdogo Tela, 58:8 (2016), 1580–1586; Phys. Solid State, 58:8 (2016), 1634–1641
Linking options:
https://www.mathnet.ru/eng/ftt9893 https://www.mathnet.ru/eng/ftt/v58/i8/p1580
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Abstract page: | 25 | Full-text PDF : | 11 |
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