Compared with other forms of spectrometer, Offner spectrometer with a concentric structure is offering a lot of
advantages, such as a compact structure, better imaging quality, lower distortion, and so on, convex grating on the
second mirror is the key-component in it. The efficiency of an optical system plays an important role in application, but
the low diffraction efficiency of Laminar grating or sinusoidal grating leads to a disadvantage for using, to solve this
problem, blazed grating with much higher diffraction efficiency is a good answer. In application, blaze wavelength of the
grating should be chosen in the spectral range with the lowest responsivity for the detector, so a proper blaze angle and
theoretical prediction on affects by tolerance are important in designing the convex blazed grating in an Offner
spectrometer. Based on the process of designing an Offner spectrometer, this paper deduced an expression for the angle
of incidence in YZ-plane on convex grating in Offner spectrometer, then got the corresponding blaze angle, and analyzed
affects on blaze wavelength brought by any kinds of tolerance, showed how to make the blaze wavelength work
precisely for application, a practical example is also given.
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