论文标题
干涉测量法的波长和折射率
Wavelength and Refractive Indices from Interferometry
论文作者
论文摘要
PASCO Scientific 012-05187C精度干涉仪以米歇尔森模式使用，以研究波长和折射率。从米歇尔森设置中的可移动镜的距离变化，发现Hene Laser Beam的波长为$ 630.6 \ PM7.9〜 \ Mathrm {nm} $; $ 0.28 $ sigmas远离接受的$ 632.8〜 \ mathrm {nm} $，同意它。然后，在考虑到低压气体的折射率随压力线性变化之后，我们将真空电池放在可移动镜的前面，然后在其内部抽出空气以找到各个斜率。通过推断平均斜率，我们计算出空气的折射率为$ n = 1.000226 \ pm0.000026 $。这是$ 1.44 $ $ sigmas，距制造商的估计$ 1.000263 $，几乎不同意，因为我们低估了边缘数量的错误（这是由压力变化引起的）。此外，真空电池被旋转的冠玻璃板所取代，该冠状玻璃板会改变EM波在米歇尔森干涉仪中传播的长度。测量并利用旋转角度发现玻璃的折射率为$ 1.514 \ pm0.006 $;同意可接受的$ 1.515 $的可接受价值，因为它是$ 0.125 $ sigmas远离它。因此，随着波长观察，该实验成功地进行了。尽管发现空气折射率的实验的成功率较低，但由于测得的值接近被公认的值，因此它也很繁荣。
PASCO scientific 012-05187C Precision Interferometer is used in Michelson mode to investigate wavelengths and refractive indices. From varying the distance of the movable mirror in the Michelson setup the wavelength of the HeNe laser beam is found to be $630.6\pm7.9~\mathrm{nm}$; $0.28$ sigmas away from the accepted $632.8~\mathrm{nm}$ and agreeing with it. Then after considering the fact that the index of refraction for low pressure gasses varies linearly with pressure we place a vacuum cell in front of the movable mirror and pump out the air within it to find the individual slopes. By extrapolating the average slope we calculate the index of refraction for air to be $n=1.000226\pm0.000026$. This is $1.44$ sigmas away from the manufacturer's measured $1.000263$ and barely agreeing with it as we underestimated our error in the fringe count (which is caused by the change in pressure). Furthermore, the vacuum cell is replaced by a crown glass plate which is rotated to vary the length at which the EM wave travels in the Michelson interferometer. The angle of rotation is measured and utilized to find the refractive index of glass to be $1.514\pm0.006$; agreeing with the accepted value of $1.515$ as it is $0.125$ sigmas away from it. Thus, along with the wavelength observation this experiment is conducted successfully. Although the experiment to find the refractive index of air is conducted less successfully, it is also prosperous as the measured value is close to the accepted.
