The analytic theory of aberrations has been used to derive an expression for the magnitude of the coma width of the image in the meridional plane in a Czerny-Turner spectrograph with unequal mirror radii. The calculated properties of a 4-m spectrograph with equal radii and a recently constructed 3.34-m spectrograph with unequal radii are compared with the results obtained by tracing individual rays. The agreement is excellent, in contrast to the results of Chandler [J. Opt. Soc. Am. 58, 895 (1968)]. The lateral position of the grating for complete elimination of coma found experimentally with the 3.34-m instrument is in fair agreement with the theory. A correction to the √3 longitudinal grating position is given for a Czerny—Turner spectrograph which results in a flatter focal surface.
© 1969 Optical Society of America
JOSEPH READER, "Optimizing Czerny-Turner Spectrographs: A Comparison between Analytic Theory and Ray Tracing," J. Opt. Soc. Am. 59, 1189-1194 (1969)