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首页> 外文期刊>Journal of Physics, D. Applied Physics: A Europhysics Journal >Variable-period oscillations in optical spectra in sub-bandgap long wavelength region: signatures of new dispersion of refractive index?
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Variable-period oscillations in optical spectra in sub-bandgap long wavelength region: signatures of new dispersion of refractive index?

机译：在子带隙长波长区域中的光谱中的可变周期振荡：折射率新分散的签名？

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摘要

Variable-period oscillations (VPOs) in various optical spectra in sub-bandgap long wavelength region, including reflection, transmission, absorption, and even luminescence spectra, are a frequently observed phenomenon in various semiconducting and dielectric films. These functional films include nitrides, oxides, silicides, sulfides, and perovskites. Although the phenomenon is widely known to be caused by optical interference, a generalized analytical model for it has not yet been established, probably due to both varying oscillation period and amplitude. In this article, we attempt to develop such a model by introducing a new concise dispersion of the sub-bandgap refractive index, i.e. containing a frictional component. In particular, we show that the VPOs in the reflectance and corresponding transmission shall have reverse maxima and minima in intensity, giving a self-consistent explanation to the existing experimental results in literature. Furthermore, the present analytical method is proven to be accurate for finding optical constants and thicknesses of films. Finally, the rationality of the new dispersion is further argued in terms of a generalized refractive index of crystal with lattice anomalies (e.g. defected and strained lattice), which was derived by Goncalves et al from the fractional Drude-Lorentz model. In addition, the equivalency between the VPOs and Newton's rings in energy space is discussed based on the present model.
机译：在亚带隙长波区的各种光谱（包括反射光谱、透射光谱、吸收光谱，甚至发光光谱）中，可变周期振荡（VPO）是各种半导体和介电薄膜中经常观察到的现象。这些功能薄膜包括氮化物、氧化物、硅化物、硫化物和钙钛矿。虽然这一现象被广泛认为是由光学干涉引起的，但尚未建立其广义分析模型，这可能是由于振荡周期和振幅的变化。在本文中，我们试图通过引入一种新的子带隙折射率的简明色散来发展这样一个模型，即包含一个摩擦分量。特别是，我们证明了反射率和相应透射比中的VPO在强度上应具有相反的最大值和最小值，对文献中现有的实验结果给出了自洽的解释。此外，目前的分析方法被证明是准确的寻找光学常数和厚度的薄膜。最后，根据Goncalves等人从分数Drude-Lorentz模型导出的晶格异常（如缺陷晶格和应变晶格）的广义折射率，进一步论证了新色散的合理性。在此基础上，讨论了能量空间中VPO环与牛顿环的等价性。

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