title: [Exact expressions for bend phenomena of spectral line and spectral band of spectrometer].
abstract: In this paper the grating equation and integrate expression of diffractive polar angle and the azimuthal angle with arbitrary on the vector diffraction theory. The exact calculation formulae for bend quantity of spectral line angle of incidence are described based and spectral band of plane grating spectrometer are given, and two kinds of angular dispersion expression of correspondingdiffractive 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.
authors.affiliation: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China.
authors.lastname: Bayanheshig
mesh_terms: D000465:Algorithms; D004867:Equipment Design; D007091:Image Processing, Computer-Assisted / Q000295:instrumentation*; D008962:Models, Theoretical; D013057:Spectrum Analysis / Q000295:instrumentation*