title: Analytical design of an Offner imaging spectrometer.
abstract: We present the analytical design of an imaging spectrometer based on the three-concentric-mirror (Offner) configuration. The approach presented allows for the rapid design of this class of system. Likewise, high-optical-quality spectrometers are obtained without the use of aberration-corrected gratings, even for high speeds. Our approach is based on the calculation of both the meridional and the sagittal images of an off-axis object point. Thus, the meridional and sagittal curves are obtained in the whole spectral range. Making these curves tangent to each other for a given wavelength results in a significant decrease in astigmatism, which is the dominant residual aberration.RMS spot radii less than 5 mm are obtained for speeds as high as f/2.5 and a wavelength range of 0.4-1.0 microm. A design example is presented using a free interactive optical design tool.
authors.forename: X
authors.initials: X
authors.lastname: Prieto-Blanco
authors.forename: C
authors.initials: C
authors.lastname: Montero-Orille
authors.forename: B
authors.initials: B
authors.lastname: Couce
authors.forename: R
authors.initials: R
authors.lastname: de la Fuente