Shape function of spectral line in experiment of measuring refractive index of prism glass with spectrometer
The dispersion spectral line of the experiment of measuring refractive index of prism glass with spectrometer becomes a curve due to the law of refraction.Because of the difficulty of mathematical analysis and calculation,figuring out the mathematical expression of this curve,the shape function of spectral line,has become a long-standing difficult problem in mathematics.The azimuth of emergent ray was calculated by analysing in depth the light path structure of monochromatic light refracted by prism.From this,the shape function of spectral line in orthogonal condition was figured out.And then,by coordinate transformation,the shape function of spectral line in general case was derived,thus solving the difficult problem.Compared the image of the shape function to the corresponding actual spectral line,they are consistent.
spectrometerprismstructure of refracted light pathshape function of spectral line