arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2103.00639physics.optics
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海丁格-迈克尔逊环在白光

Haidinger-Michelson rings in white light

Youssef El Azhari, Sa{ī}d Tagmouti

摘要:

我们用相干理论来解释为什么有必要修改传统的迈克耳孙干涉仪的设置,以获得海丁格环与扩展光源的白光。修改包括将载玻片引入干涉仪的两个臂中的一个。这种插入规避了由白光的低时间相干性所施加的剧烈限制,这阻止了用常规设置观察干涉环。为了理解这种限制,我们开发并实施了一个观察干涉条纹的标准。修改后的设置也使得有可能进行光谱干涉实验,以分析干涉仪的输出,并确定整个可见光谱范围内的玻璃载玻片的折射率。使用Sellmeier定律对测量数据的拟合给出了IR $n_\mathrm{IR}=1.5307\pm0.0003$的折射率的外推值和负责色散的振荡器的特征波长$λ_0=(164.5\pm0.4)\;\mathrm{nm}$的值。

英文摘要:

We use coherence theory to explain why it is necessary to modify the conventional setup of a Michelson interferometer to obtain Haidinger rings with an extended source of white light. The modification consists of introducing a glass slide into one of the two arms of the interferometer. This insertion circumvents the drastic restriction imposed by the low temporal coherence of white light, which prevents the observation of interference rings with the conventional setup. In order to understand this restriction, we developed and implemented a criterion for observing interference fringes. The modified setup also makes it possible to perform a spectral interferometry experiment to analyze the output of the interferometer and determine the refractive index of the glass slide over the whole visible spectrum. The fit of measured data using Sellmeier's law gives the extrapolated value of the refractive index to the IR $n_\mathrm{IR}=1.5307\pm0.0003$ and the value of the characteristic wavelength $λ_0=(164.5\pm0.4)\;\mathrm{nm}$ of the oscillator responsible for the dispersion.

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