The performances of a spectrometer for the observation of laser plasma absorption with high spectral and spatial resolution are described. Aspherical optics are used to correct the astigmatism in an extended spectral region. In this way only a small portion of the absorbing medium is probed, thus giving a good selection of the ionization stage acting as the absorption. Moreover, in the focal plane the plasma emission from the absorbing medium is spatially separated from the probe beam, with a consequent enhancement of the measurement sensitivity. The predicted optical performances from a ray tracing are compared with experimental observations for both spectral and spatial resolution.