Sodium Doublet on Fabry-Perot钠双线在法布里-珀罗干涉仪中
The image at left below shows the appearance of the interference fringes of the sodium doublet produced by Fabry-Perot optics. This is the appearance at one position. As the micrometer is adjusted to increase the mirror spacing, the appearance changes as the fringes merge together. If the micrometer is advanced until the fringes look the same again, then you have advanced one of the fringe sets one full order with respect to the other. This allows you to calculate the wavelength difference. The video at right shows the progression which is used to determine the wavelength difference. 左边的图像显示了由法布里-珀罗光学产生的钠双线的干涉条纹外观。这是在某一位置的外观。当微分尺被调节以增加镜面间距时,外观会变化,因为条纹会相互融合。如果微分尺继续调节直到条纹看起来相同 again,那么你已经将一个条纹集相对于另一个条纹集移动了一个完整的波长差。这允许你计算波长差。右边的视频展示了用于确定波长差的进程。
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Index Interference concepts Example of sodium doublet 索引干涉概念 示例:钠双线 | ||||
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Doublet Separation, Fabry-Perot双折射分离,法布里-珀罗
The resolvance of the Fabry-Perot interferometer is sufficient to resolve closely spaced spectral doublets like the sodium doublet and the hydrogen-deuterium doublet. 法布里-珀罗干涉仪的分辨能力足以分辨 closely spaced 的谱双峰,如钠双峰和氢-氘双峰。
The experimental procedure yields a distance of movement of the interferometer mirror which allows the doublet separation to be calculated from the relationship 实验程序得到干涉仪镜片的移动距离,这使得可以通过以下关系计算双合分隔
双重线的平均波长必须通过其他测量来确定,才能利用这一关系。 |
Index Interference concepts 索引干涉概念 | ||||
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Doublet Separation Expression双重线分离表达式
Subraction of the two distances obtained in the doublet experiment gives the following expression: ![]() This expresses the fact that the shorter wavelength has gained an order on the longer wavelength. Combining terms gives 这表达了短波长比长波长多了一个数量级的事实。合并项得
![]() Substituting this back into the top equation gives 将此代入上一公式可得
![]() The relationship for the doublet separation is then 双重态分离的关系式为
双缝实验中得到的两个距离相减得到以下表达式: |
Index Interference concepts 索引干涉概念 | |||||
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Doublet Separation, Experiment双分子分离实验
The experimental procedure involves examining the interference fringes of the light at normal incidence ( angle = 0°) such that constructive interference is produced by one wavelength of the doublet 实验过程涉及在正常入射(角度=0°)条件下考察光的干涉条纹,使得通过双线的一条波长产生 constructive interference。
![]() while the other wavelength is adjusted to a half-integer condition. This can be seen in the interference pattern as a weaker ring half-way between the stronger interference maxima. This corresponds to 而另一个波长被调整为半整数条件。这可以在干涉图样中看到,表现为在较强干涉极大值之间较弱的环。这对应于
![]() Advancing the micrometer until this condition occurs again provides data from which the doublet separation can be calculated. 将微米尺推进直到该条件再次出现,可以获取用于计算双峰间距的数据。
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Index Interference concepts 索引干涉概念 | ||||
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