Abstract The principle of the Sagnac imaging spectrometer was introduced，and the Sagnac
interferometers working way in the imaging spectrometer was illustrated．In this thesis，the structure of
the solid Sagnac interferometer were analyzed，and discussion were made which based on the angle error
directions formu1aS which the spectral resolution of imaging spectrometer required the angle direction
error of FT 1ens have to be met．From three vertical directions the rays were studied which passed through
the two prisms adhered by glue，the pathway variation of the rays in the entitative Sagnac interferometer，
and were aralyzed the relation by formulas between the spectral resolution and the angle deviation of the
Drisms were shown；the angle error formulas of the entitative Sagnac interferometer prisms were deduced
which could meet the requirement of the spectral resolution of the interferometer spectroscopy；using
examples to show the applying method of the formulas．If the dispersive induced by deforming of the shape
of the Drism and error of SUrfaces shape of the prism were neglected，only when the angle error of the prism
were accounted，the angle error of the prisms should be strictly required，generally it should be less than
2OⅣ．
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