Abstract：In this paper the grating equation and integrate expression of diffractive polar angle and the azimuthal angle with arbitrary angle of incidence are described based on the vector diffraction theory. The exact calculation formulae for bend quantity of spectral line and spectral band of plane grating spectrometer are given, and two kinds of angular dispersion expression of corresponding diffractive polar angle and azimuthal angle are also presented. The calculated results of the exact spectral line bend formula are compared with those of approximate formulae. The effects of the height of incident slit on dispersion capability are examined by values. Because no approximations are performed during the above deduction of each formula and all factors that lead to the bend of spectral line and spectral band are concerned, the given formulae in the paper are more comprehensive and reliable than all the approximate formulae used before. Consequently, these formulae can be used as a theory criterion by which the actual spectral instrument is designed, tested, equipped, adjusted and used.
Key words：Spectrometer;Spectral line bend;Spectral band bend;Two kinds of angular dispersion;Exact expression way;Vector diffraction theory
巴音贺希格. 光谱仪谱线和谱带弯曲现象的精确表述方式[J]. 光谱学与光谱分析, 2005, 25(09): 1524-1529.
Bayanheshig. Exact Expressions for Bend Phenomena of Spectral Line and Spectral Band of Spectrometer . SPECTROSCOPY AND SPECTRAL ANALYSIS, 2005, 25(09): 1524-1529.
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